| Benjamin Greenleaf - 1854
...the hypothenuse, and the angle at B is a right angle. Base. ART. 272. In every right angled triangle **the square of the hypothenuse is equal to the sum of the** squares of the base and perpendicular, as shown by the following diagram. It will be seen by examining... | |
| 1855
...When two sides of a right-angled triangle are given, the third may be found by means of the property **that the square of the hypothenuse is equal to the sum of the** squares of the other two sides. Hence h = Ъ = —p = ^h' — b* Ex. 1. If the base is 2720, and the... | |
| Elias Loomis - 1855 - 178 páginas
...When two sides of a right-angled triangle are given, the third may be found by means of the property **that the square of the hypothenuse is equal to the sum of the** squares of the other two sides. ,, Hence, representing the hypothenuse, base, and perpendicular by... | |
| William Smyth - 1855 - 223 páginas
...the third. This case may be solved by means of the known property of a right angled triangle, viz. **the square of the hypothenuse is equal to the sum of the** squares of the two sides. It may, moreover, be solved with facility by means of the two propositions,... | |
| John Fair Stoddard - 1856 - 292 páginas
...third side can be found by means of the following theorem. It is an established theorem of geometry, **that the square of the hypothenuse is equal to the sum of the** SQUARES of the ntlier two sides. Therefore, the square of one of the sides is equal to tlie square... | |
| Stoddard A. Felter, Samuel Ashbel Farrand - 1877 - 471 páginas
...square AFGC cut so that the two will exactly coincide with BDEA, or, in other words, — FORMULA. — **The square of the hypothenuse is equal to the sum of the** squares of the other two sides. Hence — To find the hypothenuse of a right-angled triangle, RULE.... | |
| Elias Loomis - 1877 - 443 páginas
...most celebrated schools of antiquity. He is said to have discovered that in a right-angled triangle **the square of the hypothenuse is equal to the sum of the** squares on the two legs. He discovered that the circle has a greater area than any other plane figure... | |
| Thomas Hunter - 1878 - 132 páginas
...the other two ; for the three figures are to each other as the squares of their homologous sides. But **the square of the hypothenuse is equal to the sum of the** squares of the other two sides. Hence the similar figure described on the hypothenuse is equal to the... | |
| Samuel Pedley - 1879 - 371 páginas
...yds. ? (3) What is the length of a square field containing an acre ? (4) In any right-angled triangle **the square of the hypothenuse is equal to the sum of the** squares of the other two sides : find the area of a square field whose diagonal (ie a, straight line... | |
| Charles Edwin Röbert - 1880 - 172 páginas
...sweetest strains, and here Pythagoras learned from the Egyptian priests—" in the land of Ham" the fact **that "the square of the hypothenuse is equal to the sum of the** squares of the two other sides." ' Here, too, in later times were built the cities of Alexandria and... | |
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