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Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
History of Rome [by H. Malden]. - Pagina 35
di Henry Malden - 1830
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## The Art of Study: A Manual for Teachers and Students of the Science and the ...

Burke Aaron Hinsdale - 1900 - 266 pagine
...together. The particular lesson on this occasion was the Pythagorean theorem : the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, and it proceeded somewhat as follows: Teacher. What have...
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## Famous Geometrical Theorems and Problems, with Their History, Volume 1

William Whitehead Rupert - 1900 - 107 pagine
...a + b + cjrd= 2 right angles. .-. B + A + C=2 right angles. CHAPTER II. THEOREM. 10. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Pythagoras, who was born at Samos about 569 BC, was the first man...
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## Report of the Department of Education of the Province of Manitoba for the ...

...diagonals of parallelograms about a diagonal of a parallelogram are parallel. 6. The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the sides containing the right angle. Show how to find a square which is equal...
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## History of Education

Ellwood Leitheiser Kemp - 1901 - 369 pagine
...accord- Pythagorean ingly laid great stress on mathematics. He Doctrine. discovered that the square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the other two sides. He gave scientific form to geometry. The aim of his instruction...
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## The Works of Voltaire: A philosophical dictionary

...between a cone and a sphere is not of the sect of Archimedes; and he who perceived that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, is not in consequence a Pythagorean. When we say that the blood...
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## New Practical Arithmetic

Eugene L. Dubbs - 1901 - 440 pagine
...The truth of the following principles has been established by geometry : PRINCIPLE I. The square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the base and the perpendicular. PRINCIPLE II. The square of either side of a rightangled...
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## Graded Work in Arithmetic, Libro 9

Samuel Wesley Baird - 1901
...and the side EG the Perpendicular. 678. It is an established principle of Geometry that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the base and the perpendicular. 679. The diagram at the right illustrates the preceding...
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## The First Men in the Moon

Herbert George Wells - 1901 - 342 pagine
...equal sides be produced the angles on the other side of the base are equal also, or that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two other sides. By demonstrating our knowledge of these things we should demonstrate...
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## A Short Account of the History of Mathematics

Walter William Rouse Ball - 1901 - 527 pagine
...cases (namely when the ratio of the sides is 3 : 4 : 5 or 1:1: N/2) the area of the square described on the hypotenuse of a right.angled triangle is equal to the sum of the areas of the squares described on the sides. It is barely possible that a few geometrical theorems...
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## A Text-book of Physics

William Watson - 1902 - 951 pagine
...increases from o° to 90°. Ans. sin 30° = .5 ; cos 60° = .5 ; tan 45°=!. 3. Given that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other scales, prove that sin2 0 + cos3 9=i. 4. The angle subtended by the diameter...
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