Archimedes: Angle

Archimedes was Greek mathematician, physicist, engineer, inventor, and astronomer. Explore interesting quotes on angle.
Archimedes: 40   quotes 22   likes

“Any segment of a right-angled conoid (i. e., a paraboloid of revolution) cut off by a plane at right angles to the axis is 1½ times the cone which has the same base and the same axis as the segment”

Archimedes book The Method of Mechanical Theorems

Proprosition 4.
The Method of Mechanical Theorems

Time

“It follows at once from the last proposition that the centre of gravity of any triangle is at the intersection of the lines drawn from any two angles to the middle points of the opposite sides respectively.”

Archimedes book On the Equilibrium of Planes

Book 1, Proposition 14.
On the Equilibrium of Planes

“In any triangle the centre of gravity lies on the straight line joining any angle to the middle point of the opposite side.”

Archimedes book On the Equilibrium of Planes

Book 1, Proposition 13.
On the Equilibrium of Planes

“First then I will set out the very first theorem which became known to me by means of mechanics, namely that
Any segment of a section of a right angled cone (i. e., a parabola) is four-thirds of the triangle which has the same base and equal height,
and after this I will give each of the other theorems investigated by the same method. Then at the end of the book I will give the geometrical [proofs of the propositions]…”

Archimedes book The Method of Mechanical Theorems

The Method of Mechanical Theorems

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