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Βιβλία Βιβλία 1 - 10 από 180 για The square described on the hypothenuse of a rightangled triangle is equal to the....
" The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. "
Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ... - Σελίδα 369
των James Bates Thomson - 1847 - 422 σελίδες
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The Modern Preceptor Or a General Course of Education: Containing ..., Τόμος 1

John Dougall - 1810 - 580 σελίδες
...ACDE, is eqii: 1 to the sum of the two squares AFGB and EH 1C : or, in other words, that the square of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the two sides containing the right angle. To illustrate this proposition by arithmetic,...

The Analectic Magazine...: Comprising Original Reviews, Biography ..., Τόμος 8

1816
...that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body else, would...

A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 346 σελίδες
...square root of the sum will be the hypotheuuse.* Or by logarithms thus, * DEMONSTRATION. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the sides (47.1). Therefore the truth of the first part of each of the rules, is evident....

The Annals of Philosophy, Τόμος 8

1816
...manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides; so that we have only to form a rightangled triangle of a proper length...

The Analectic Magazine ...: Comprising Original Reviews, Biography ..., Τόμος 8

Washington Irving - 1816
...that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body else, would...

Annals of Philosophy, Or, Magazine of Chemistry, Mineralogy ..., Τόμος 8

1816
...manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides ; so that we have only to form a rightangled triangle of a proper length...

Elements of Geometry

Adrien Marie Legendre - 1825 - 224 σελίδες
...algebraic formula (a + 6)x(a— 6) = (a3— 63) (Alg. 34). THEOREM. 186. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the two other sides. . 109. Demonstration. Let ABC (fig. 109) be a triangle...

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre - 1825 - 224 σελίδες
...algebraic formula (a + 6) X (a — &)= (a»— b') (Alg. 34). THEOREM. f / 186. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the two other sides. 109. Demonstration. Let ABC (fig. 109) be a triangle...

Elements of the History of Philosophy and Science: From the Earliest ...

1827 - 560 σελίδες
...discoveries. His name is rendered immortal among geometricians, by his well-known discovery, " that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides;" a discovery which is said to have occasioned such an ecstacy of...

Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 129 σελίδες
...the study of geometry with wonderful ardour and success. It was he who discovered that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. To express his joy and gratitude for this great discovery, we are...




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