“Experience has convinced me that the proper way of teaching is to bring together that which is simple from all quarters, and, if I may use such a phrase, to draw upon the surface of the subject a proper mean between the line of closest connexion and the line of easiest deduction.”

— Augustus De Morgan

This was the method followed by Euclid, who, fortunately for us, never dreamed of a geometry of triangles, as distinguished from a geometry of circles, or a separate application of the arithmetics of addition and subtraction; but made one help out the other as he best could.
The Differential and Integral Calculus (1836)

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Augustus De Morgan 41

British mathematician, philosopher and university teacher (… 1806–1871

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“Experience has convinced me that the proper way of teaching is to bring together that which is simple from all quarters, and, if I may use such a phrase, to draw upon the surface of the subject a proper mean between the line of closest connexion and the line of easiest deduction. This was the method followed by Euclid, who, fortunately for us, never dreamed of a geometry of triangles, as distinguished from a geometry of circles, or a separate application of the arithmetics of addition and subtraction; but made one help out the other as he best could.”

Augustus De Morgan (1806–1871) British mathematician, philosopher and university teacher (1806-1871)

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The Differential and Integral Calculus (1836)

“When I left your Excellency at Haverstraw, you desired me to go forward and reconnoitre the country, and fix upon some proper position to draw the troops together at, I was a stranger to all this part of the country, and could form no judgment of a proper place, until I had thoroughly examined the ground.”

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“An exoteric book contains then two teachings: a popular teaching of an edifying character, which is in the foreground; and a philosophic teaching concerning the most important subject, which is indicated only between the lines.”

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Source: Persecution and the Art of Writing (1952), Persecution and the Art of Writing, p. 36

“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.”

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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.

“Drawing the line,
The Boundary line
Between this form and that
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Alex Grey (1953) American artist

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“What business is it of ours to ask whether the French nation thinks proper to be governed by a king, an emperor, a president, or a consul? Our object and our duty is to cement the closest ties of friendship between ourselves and our nearest neighbour... There is nothing, I am convinced, in the real interests of England and France which can stand in the way of the most cordial friendship between the two nations.”

Henry Temple, 3rd Viscount Palmerston (1784–1865) British politician

Speech http://hansard.millbanksystems.com/commons/1849/feb/02/the-address-in-answer-to-the-speech#column_206 in the House of Commons (2 February 1849)
1840s