Isaac Newton: First

Isaac Newton was British physicist and mathematician and founder of modern classical physics. Explore interesting quotes on first.
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“Geometry does not teach us to draw these lines, but requires them to be drawn; for it requires that the learner should first be taught to describe these accurately, before he enters upon geometry; then it shows how by these operations problems may be solved.”

Preface (8 May 1686)
Philosophiae Naturalis Principia Mathematica (1687)
Context: The ancients considered mechanics in a twofold respect; as rational, which proceeds accurately by demonstration, and practical. To practical mechanics all the manual arts belong, from which mechanics took its name. But as artificers do not work with perfect accuracy, it comes to pass that mechanics is so distinguished from geometry, that what is perfectly accurate is called geometrical; what is less so is called mechanical. But the errors are not in the art, but in the artificers. He that works with less accuracy is an imperfect mechanic: and if any could work with perfect accuracy, he would be the most perfect mechanic of all; for the description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn; for it requires that the learner should first be taught to describe these accurately, before he enters upon geometry; then it shows how by these operations problems may be solved.

“Later Philosophers banish the Consideration of such a Cause out of natural Philosophy, feigning Hypotheses for explaining all things mechanically, and referring other Causes to Metaphysicks: Whereas the main Business of natural Philosophy is to argue from Phenomena without feigning Hypotheses, and to deduce Causes from Effects, till we come to the very first Cause, which certainly is not mechanical.”

Query 28 : Are not all Hypotheses erroneous in which Light is supposed to consist of Pression or Motion propagated through a fluid medium?
Opticks (1704)
Context: To make way for the regular and lasting Motions of the Planets and Comets, it's necessary to empty the Heavens of all Matter, except perhaps some very thin Vapours, Steams or Effluvia, arising from the Atmospheres of the Earth, Planets and Comets, and from such an exceedingly rare Æthereal Medium … A dense Fluid can be of no use for explaining the Phænomena of Nature, the Motions of the Planets and Comets being better explain'd without it. It serves only to disturb and retard the Motions of those great Bodies, and make the frame of Nature languish: And in the Pores of Bodies, it serves only to stop the vibrating Motions of their Parts, wherein their Heat and Activity consists. And as it is of no use, and hinders the Operations of Nature, and makes her languish, so there is no evidence for its Existence, and therefore it ought to be rejected. And if it be rejected, the Hypotheses that Light consists in Pression or Motion propagated through such a Medium, are rejected with it.
And for rejecting such a Medium, we have the authority of those the oldest and most celebrated philosophers of ancient Greece and Phoenicia, who made a vacuum and atoms and the gravity of atoms the first principles of their philosophy, tacitly attributing Gravity to some other Cause than dense Matter. Later Philosophers banish the Consideration of such a Cause out of natural Philosophy, feigning Hypotheses for explaining all things mechanically, and referring other Causes to Metaphysicks: Whereas the main Business of natural Philosophy is to argue from Phenomena without feigning Hypotheses, and to deduce Causes from Effects, till we come to the very first Cause, which certainly is not mechanical.

“Hitherto the principles of the Encratites had been rejected by the Churches; but now being refined by the Monks, and imposed not upon all men, but only upon those who would voluntarily undertake a monastic life, they began to be admired, and to overflow first the Greek Church, and then the Latin also, like a torrent. Eusebius tells us, that Constantine the great had those men in the highest veneration, who dedicated themselves wholly to the divine philosophy; and that he almost venerated the most holy company of Virgins perpetually devoted to God; being certain that the God to whom he had consecrated himself did dwell in their minds.”

Vol. I, Ch. 13: Of the King who did according to his will, and magnified himself above every God, and honored Mahuzzims, and regarded not the desire of women
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)
Context: Hitherto the principles of the Encratites had been rejected by the Churches; but now being refined by the Monks, and imposed not upon all men, but only upon those who would voluntarily undertake a monastic life, they began to be admired, and to overflow first the Greek Church, and then the Latin also, like a torrent. Eusebius tells us, that Constantine the great had those men in the highest veneration, who dedicated themselves wholly to the divine philosophy; and that he almost venerated the most holy company of Virgins perpetually devoted to God; being certain that the God to whom he had consecrated himself did dwell in their minds. In his time and that of his sons, this profession of a single life was propagated in Egypt by Antony, and in Syria by Hilarion; and spread so fast, that soon after the time of Julian the Apostate a third part of the Egyptians were got into the deserts of Egypt. They lived first singly in cells, then associated into cœnobia or convents; and at length came into towns, and filled the Churches with Bishops, Presbyters and Deacons. Athanasius in his younger days poured water upon the hands of his master Antony; and finding the Monks faithful to him, made many of them Bishops and Presbyters in Egypt: and these Bishops erected new Monasteries, out of which they chose Presbyters of their own cities, and sent Bishops to others. The like was done in Syria, the superstition being quickly propagated thither out of Egypt by Hilarion a disciple of Antony. Spiridion and Epiphanius of Cyprus, James of Nisibis, Cyril of Jerusalem, Eustathius of Sebastia in Armenia, Eusebius of Emisa, Titus of Bostra, Basilius of Ancyra, Acacius of Cæsarea in Palestine, Elpidius of Laodicea, Melitius and Flavian of Antioch, Theodorus of Tyre, Protogenes of Carrhæ, Acacius of Berrhæa, Theodotus of Hierapolis, Eusebius of Chalcedon, Amphilochius of Iconium, Gregory Nazianzen, Gregory Nyssen, and John Chrysostom of Constantinople, were both Bishops and Monks in the fourth century. Eustathius, Gregory Nazianzen, Gregory Nyssen, Basil, &c. had Monasteries of Clergymen in their cities, out of which Bishops were sent to other cities; who in like manner erected Monasteries there, till the Churches were supplied with Bishops out of these Monasteries.... Not long after even the Emperors commanded the Churches to choose Clergymen out of the Monasteries by this Law.

“In the beginning of his preaching he completed the number of the twelve Apostles, and instructed them all the first year”

Vol. I, Ch. 11: Of the Times of the Birth and Passion of Christ
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)
Context: John therefore baptized two summers, and Christ preached three. The first summer John preached to make himself known, in order to give testimony to Christ. Then, after Christ came to his baptism and was made known to him, he baptized another summer, to make Christ known by his testimony; and Christ also baptized the same summer, to make himself the more known: and by reason of John's testimony there came more to Christ's baptism than to John's. The winter following John was imprisoned; and now his course being at an end, Christ entered upon his proper office of preaching in the cities. In the beginning of his preaching he completed the number of the twelve Apostles, and instructed them all the first year in order to send them abroad. Before the end of this year, his fame by his preaching and miracles was so far spread abroad, that the Jews at the Passover following consulted how to kill him. In the second year of his preaching, it being no longer safe for him to converse openly in Judea, he sent the twelve to preach in all their cities: and in the end of the year they returned to him, and told him all they had done. All the last year the twelve continued with him to be instructed more perfectly, in order to their preaching to all nations after his death. And upon the news of John's death, being afraid of Herod as well as of the Jews, he walked this year more secretly than before; frequenting deserts, and spending the last half of the year in Judea, without the dominions of Herod.

“They lived first singly in cells, then associated into cœnobia or convents; and at length came into towns, and filled the Churches with Bishops, Presbyters and Deacons”

Vol. I, Ch. 13: Of the King who did according to his will, and magnified himself above every God, and honored Mahuzzims, and regarded not the desire of women
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)
Context: Hitherto the principles of the Encratites had been rejected by the Churches; but now being refined by the Monks, and imposed not upon all men, but only upon those who would voluntarily undertake a monastic life, they began to be admired, and to overflow first the Greek Church, and then the Latin also, like a torrent. Eusebius tells us, that Constantine the great had those men in the highest veneration, who dedicated themselves wholly to the divine philosophy; and that he almost venerated the most holy company of Virgins perpetually devoted to God; being certain that the God to whom he had consecrated himself did dwell in their minds. In his time and that of his sons, this profession of a single life was propagated in Egypt by Antony, and in Syria by Hilarion; and spread so fast, that soon after the time of Julian the Apostate a third part of the Egyptians were got into the deserts of Egypt. They lived first singly in cells, then associated into cœnobia or convents; and at length came into towns, and filled the Churches with Bishops, Presbyters and Deacons. Athanasius in his younger days poured water upon the hands of his master Antony; and finding the Monks faithful to him, made many of them Bishops and Presbyters in Egypt: and these Bishops erected new Monasteries, out of which they chose Presbyters of their own cities, and sent Bishops to others. The like was done in Syria, the superstition being quickly propagated thither out of Egypt by Hilarion a disciple of Antony. Spiridion and Epiphanius of Cyprus, James of Nisibis, Cyril of Jerusalem, Eustathius of Sebastia in Armenia, Eusebius of Emisa, Titus of Bostra, Basilius of Ancyra, Acacius of Cæsarea in Palestine, Elpidius of Laodicea, Melitius and Flavian of Antioch, Theodorus of Tyre, Protogenes of Carrhæ, Acacius of Berrhæa, Theodotus of Hierapolis, Eusebius of Chalcedon, Amphilochius of Iconium, Gregory Nazianzen, Gregory Nyssen, and John Chrysostom of Constantinople, were both Bishops and Monks in the fourth century. Eustathius, Gregory Nazianzen, Gregory Nyssen, Basil, &c. had Monasteries of Clergymen in their cities, out of which Bishops were sent to other cities; who in like manner erected Monasteries there, till the Churches were supplied with Bishops out of these Monasteries.... Not long after even the Emperors commanded the Churches to choose Clergymen out of the Monasteries by this Law.

“Thus the Empire of the Greeks, which at first brake into four kingdoms, became now reduced into two notable ones, henceforward called by Daniel the kings of the South and North.”

Vol. I, Ch. 12: Of the Prophecy of the Scripture of Truth
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)
Context: Thus the Empire of the Greeks, which at first brake into four kingdoms, became now reduced into two notable ones, henceforward called by Daniel the kings of the South and North. For Ptolemy now reigned over Egypt, Lybia, Ethiopia, Arabia, Phœnicia, Cœlosyria, and Cyprus; and Seleucus, having united three of the four kingdoms, had a dominion scarce inferior to that of the Persian Empire, conquered by Alexander the great. All which is thus represented by Daniel: And the king of the South [Ptolemy] shall be strong, and one of his Princes [Seleucus, one of Alexander's Princes] shall be strong above him, and have dominion; his dominion shall be a great dominion.

“This was the first step made in the Christian religion towards the veneration of the Martyrs: and tho it did not yet amount to an unlawful worship; yet it disposed the Christians towards such a further veneration of the dead, as in a short time ended in the invocation of Saints.”

Vol. I, Ch. 14: Of the Mahuzzims, honoured by the King who doth according to his will
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)
Context: Gregory Nyssen tells us, that after the persecution of the Emperor Decius, Gregory Bishop of Neocæsarea in Pontus, instituted among all people, as an addition or corollary of devotion towards God, that festival days and assemblies should be celebrated to them who had contended for the faith, that is, to the Martyrs. And he adds this reason for the institution: When he observed, saith Nyssen, that the simple and unskilful multitude, by reason of corporeal delights, remained in the error of idols; that the principal thing might be corrected among them, namely, that instead of their vain worship they might turn their eyes upon God; he permitted that at the memories of the holy Martyrs they might make merry and delight themselves, and be dissolved into joy. The heathens were delighted with the festivals of their Gods, and unwilling to part with those delights; and therefore Gregory, to facilitate their conversion, instituted annual festivals to the Saints and Martyrs. Hence it came to pass, that for exploding the festivals of the heathens, the principal festivals of the Christians succeeded in their room: as the keeping of Christmas with ivy and feasting, and playing and sports, in the room of the Bacchanalia and Saturnalia; the celebrating of May-day with flowers, in the room of the Floralia; and the keeping of festivals to the Virgin Mary, John the Baptist, and divers of the Apostles, in the room of the solemnities at the entrance of the Sun into the signs of the Zodiac in the old Julian Calendar. In the same persecution of Decius, Cyprian ordered the passions of the Martyrs in Africa to be registered, in order to celebrate their memories annually with oblations and sacrifices: and Felix Bishop of Rome, a little after, as Platina relates... "consulting the glory of the Martyrs, ordained that sacrifices should be celebrated annually in their name." By the pleasures of these festivals the Christians increased much in number, and decreased as much in virtue, until they were purged and made white by the persecution of Dioclesian. This was the first step made in the Christian religion towards the veneration of the Martyrs: and tho it did not yet amount to an unlawful worship; yet it disposed the Christians towards such a further veneration of the dead, as in a short time ended in the invocation of Saints.

“For understanding the Prophecies, we are, in the first place, to acquaint our-selves with the figurative language of the Prophets. This language is taken from the analogy between the world natural, and an empire or kingdom considered as a world politic.”

Vol. I, Ch. 2: Of the Prophetic Language
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)
Context: For understanding the Prophecies, we are, in the first place, to acquaint our-selves with the figurative language of the Prophets. This language is taken from the analogy between the world natural, and an empire or kingdom considered as a world politic. Accordingly, the whole world natural consisting of heaven and earth, signifies the whole world politic, consisting of thrones and people, or so much of it as is considered in the Prophecy: and the things in that world signify the analogous things in this. For the heavens, and the things therein, signify thrones and dignities, and those who enjoy them; and the earth, with the things thereon, the inferior people; and the lowest parts of the earth, called Hades or Hell, the lowest or most miserable part of them. Whence ascending towards heaven, and descending to the earth, are put for rising and falling in power and honor: rising out of the earth, or waters, and falling into them, for the rising up to any dignity or dominion, out of the inferior state of the people, or falling down from the same into that inferior state; descending into the lower parts of the earth, for descending to a very low and unhappy estate; speaking with a faint voice out of the dust, for being in a weak and low condition; moving from one place to another, for translation from one office, dignity, or dominion, to another; great earthquakes, and the shaking of heaven and earth, for the shaking of kingdoms, so as to distract or overthrow them; the creating a new heaven and earth, and the passing away of an old one, or the beginning and end of the world, for the rise and ruin of the body politic signified thereby.

“And therefore all the four Beasts are still alive, tho the dominion of the three first be taken away.”

Vol. I, Ch. 4: Of the vision of the four Beasts
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)
Context: I beheld, saith Daniel, till the Beast was slain, and his body destroyed, and given to the burning flames. As concerning the rest of the Beasts, they had their dominion taken away: yet their lives were prolonged for a season and a time [Chap. vii. 11, 12. ]. And therefore all the four Beasts are still alive, tho the dominion of the three first be taken away. The nations of Chaldea and Assyria are still the first Beast. Those of Media and Persia are still the second Beast. Those of Macedon, Greece and Thrace, Asia minor, Syria and Egypt, are still the third. And those of Europe, on this side Greece, are still the fourth.

“The times of the Birth and Passion of Christ, with such like niceties, being not material to religion, were little regarded by the Christians of the first age. They who began first to celebrate them, placed them in the cardinal periods of the year”

Vol. I, Ch. 11: Of the Times of the Birth and Passion of Christ
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)
Context: The times of the Birth and Passion of Christ, with such like niceties, being not material to religion, were little regarded by the Christians of the first age. They who began first to celebrate them, placed them in the cardinal periods of the year; as the annunciation of the Virgin Mary, on the 25th of March, which when Julius Cæsar corrected the Calendar was the vernal Equinox; the feast of John Baptist on the 24th of June, which was the summer Solstice; the feast of St. Michael on Sept. 29, which was the autumnal Equinox; and the birth of Christ on the winter Solstice, Dec. 25, with the feasts of St. Stephen, St. John and the Innocents, as near it as they could place them. And because the Solstice in time removed from the 25th of December to the 24th, the 23d, the 22d, and so on backwards, hence some in the following centuries placed the birth of Christ on Dec. 23, and at length on Dec. 20: and for the same reason they seem to have set the feast of St. Thomas on Dec. 21, and that of St. Matthew on Sept. 21. So also at the entrance of the Sun into all the signs in the Julian Calendar, they placed the days of other Saints; as the conversion of Paul on Jan. 25, when the Sun entered Aquarius; St. Matthias on Feb. 25, when he entered Pisces; St. Mark on Apr. 25, when he entered Taurus; Corpus Christi on May 26, when he entered Gemini; St. James on July 25, when he entered Cancer; St. Bartholomew on Aug. 24, when he entered Virgo; Simon and Jude on Oct. 28, when he entered Scorpio: and if there were any other remarkable days in the Julian Calendar, they placed the Saints upon them, as St. Barnabas on June 11, where Ovid seems to place the feast of Vesta and Fortuna, and the goddess Matuta; and St. Philip and James on the first of May, a day dedicated both to the Bona Dea, or Magna Mater, and to the goddess Flora, and still celebrated with her rites. All which shews that these days were fixed in the first Christian Calendars by Mathematicians at pleasure, without any ground in tradition; and that the Christians afterwards took up with what they found in the Calendars.

“All which shews that these days were fixed in the first Christian Calendars by Mathematicians at pleasure, without any ground in tradition; and that the Christians afterwards took up with what they found in the Calendars”

Vol. I, Ch. 11: Of the Times of the Birth and Passion of Christ
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)
Context: The times of the Birth and Passion of Christ, with such like niceties, being not material to religion, were little regarded by the Christians of the first age. They who began first to celebrate them, placed them in the cardinal periods of the year; as the annunciation of the Virgin Mary, on the 25th of March, which when Julius Cæsar corrected the Calendar was the vernal Equinox; the feast of John Baptist on the 24th of June, which was the summer Solstice; the feast of St. Michael on Sept. 29, which was the autumnal Equinox; and the birth of Christ on the winter Solstice, Dec. 25, with the feasts of St. Stephen, St. John and the Innocents, as near it as they could place them. And because the Solstice in time removed from the 25th of December to the 24th, the 23d, the 22d, and so on backwards, hence some in the following centuries placed the birth of Christ on Dec. 23, and at length on Dec. 20: and for the same reason they seem to have set the feast of St. Thomas on Dec. 21, and that of St. Matthew on Sept. 21. So also at the entrance of the Sun into all the signs in the Julian Calendar, they placed the days of other Saints; as the conversion of Paul on Jan. 25, when the Sun entered Aquarius; St. Matthias on Feb. 25, when he entered Pisces; St. Mark on Apr. 25, when he entered Taurus; Corpus Christi on May 26, when he entered Gemini; St. James on July 25, when he entered Cancer; St. Bartholomew on Aug. 24, when he entered Virgo; Simon and Jude on Oct. 28, when he entered Scorpio: and if there were any other remarkable days in the Julian Calendar, they placed the Saints upon them, as St. Barnabas on June 11, where Ovid seems to place the feast of Vesta and Fortuna, and the goddess Matuta; and St. Philip and James on the first of May, a day dedicated both to the Bona Dea, or Magna Mater, and to the goddess Flora, and still celebrated with her rites. All which shews that these days were fixed in the first Christian Calendars by Mathematicians at pleasure, without any ground in tradition; and that the Christians afterwards took up with what they found in the Calendars.

“We must believe in one God that we may love & fear him. We must believe that he is the father Almighty, or first author of all things by the almighty power of his will, that we may thank & worship him & him alone for our being and for all the blessings of this life < insertion from f 43v > We must believe that this is the God of moses & the Jews who created heaven & earth & the sea & all things therein as is expressed in the ten commandments, that we may not take his name in vain nor worship images or visible resemblances nor have (in our worship) any other God then him. For he is without similitude he is the invisible God whom no eye hath seen nor can see, & therefore is not to be worshipped in any visible shape. He is the only invisible God & the only God whom we are to worship & therefore we are not to worship any visible image picture likeness or form. We are not forbidden to give the name of Gods to Angels & Kings but we are forbidden to worship them as Gods. For tho there be that are called Gods whether in heaven or in earth (as there are Gods many & Lords many) yet to us there is but one God the Father of whom are all things & we in him & our Lord Jesus Christ by whom are all things & we in him, that is, but one God & one Lord in our worship: One God & one mediator between God & man the man Christ Jesus. We are forbidden to worship two Gods but we are not forbidden to worship one God, & one Lord: one God for creating all things & one Lord for redeeming us with his blood. We must not pray to two Gods, but we may pray to one God in the name of one Lord. We must believe therefore in one Lord Jesus Christ that we may behave our selves obediently towards him as subjects & keep his laws, & give him that honour & glory & worship which is due to him as our Lord & King or else we are not his people. We must believe that this Lord Jesus is the Christ, or Messiah the Prince predicted by Daniel, & we must worship him as the Messiah or else we are no Christians. The Jews who were taught to have but one God were also taught to expect a king, & the Christians are taught in their Creed to have the same God & to believe that Jesus is that King.”

Drafts on the history of the Church (Section 3). Yahuda Ms. 15.3, National Library of Israel, Jerusalem, Israel. 2006 Online Version at Newton Project http://www.newtonproject.sussex.ac.uk/view/texts/normalized/THEM00220

“I keep the subject constantly before me, and wait 'till the first dawnings open slowly, by little and little, into a full and clear light.”

Reply upon being asked how he made his discoveries, as quoted in " Biographia Britannica: Or the Lives of the Most Eminent Persons who Have Flourished in Great Britain from the Earliest Ages Down to the Present Times, Volume 5 http://books.google.es/books?id=rYhDAAAAcAAJ&pg=PA3241&dq=I+keep+the+subject+constantly+before+me+and+wait+till+the+first+dawnings+open+little+by+little+into+the+full+light.&hl=es&sa=X&ei=ZBsMUpiLDpPU8wTEkYGAAQ&ved=0CEMQ6AEwAg#v=onepage&q=I%20keep%20the%20subject%20constantly%20before%20me%20and%20wait%20till%20the%20first%20dawnings%20open%20little%20by%20little%20into%20the%20full%20light.&f=false", by W. Innys, (1760), p. 3241.

“The same King [Greek Empire] placed holiness in abstinence from marriage. Eusebius in his Ecclesiastical history tells us, that Musanus wrote a tract against those who fell away to the heresy of the Encratites, which was then newly risen, and had introduced pernicious errors; and that Tatian, the disciple of Justin, was the author thereof; and that Irenæus in his first book against heresies teaches this… But although the followers of Tatian were at first condemned as heretics by the name of Encratites, or Continentes; their principles could not be yet quite exploded: for Montanus refined upon them, and made only second marriages unlawful; he also introduced frequent fastings, and annual, fasting days, the keeping of Lent, and feeding upon dried meats. The Apostolici, about the middle of the third century, condemned marriage, and were a branch of the disciples of Tatian. The Hierocitæ in Egypt, in the latter end of the third century, also condemned marriage. Paul the Eremite [Hermit] fled into the wilderness from the persecution of Decius, and lived there a solitary life till the reign of Constantine the great, but made no disciples. Antony did the like in the persecution of Dioclesian, or a little before, and made disciples; and many others soon followed his example.”

Vol. I, Ch. 13: Of the King who did according to his will, and magnified himself above every God, and honored Mahuzzims, and regarded not the desire of women
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)

“In the beginning of the year 1665 I found the method of approximating Series and the Rule for reducing any dignity of any Binomial into such a series. The same year in May I found the method of tangents of Gregory and Slusius, and in November had the direct method of Fluxions, and the next year in January had the Theory of Colours, and in May following I had entrance into the inverse method of Fluxions. And the same year I began to think of gravity extending to the orb of the Moon, and having found out how to estimate the force with which [a] globe revolving within a sphere presses the surface of the sphere, from Kepler's Rule of the periodical times of the Planets being in a sesquialterate proportion of their distances from the centers of their orbs I deduced that the forces which keep the Planets in their Orbs must [be] reciprocally as the squares of their distances from the centers about which they revolve: and thereby compared the force requisite to keep the Moon in her orb with the force of gravity at the surface of the earth, and found them answer pretty nearly. All this was in the two plague years of 1665 and 1666, for in those days I was in the prime of my age for invention, and minded Mathematicks and Philosophy more than at any time since. What Mr Hugens has published since about centrifugal forces I suppose he had before me. At length in the winter between the years 1676 and 1677 I found the Proposition that by a centrifugal force reciprocally as the square of the distance a Planet must revolve in an Ellipsis about the center of the force placed in the lower umbilicus of the Ellipsis and with a radius drawn to that center describe areas proportional to the times. And in the winter between the years 1683 and 1684 this Proposition with the Demonstration was entered in the Register book of the R. Society. And this is the first instance upon record of any Proposition in the higher Geometry found out by the method in dispute. In the year 1689 Mr Leibnitz, endeavouring to rival me, published a Demonstration of the same Proposition upon another supposition, but his Demonstration proved erroneous for want of skill in the method.”

(ca. 1716) A Catalogue of the Portsmouth Collection of Books and Papers Written by Or Belonging to Sir Isaac Newton https://books.google.com/books?id=3wcjAAAAMAAJ&pg=PR18 (1888) Preface
Also partially quoted in Sir Sidney Lee (ed.), The Dictionary of National Biography Vol.40 http://books.google.com/books?id=NycJAAAAIAAJ (1894)