| Charles Davies - 1852 - 438 σελίδες
...worthy of particular notice. In every right angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a right angled tria,ngle, right angled at C, then will the square D described on AB be equal... | |
| Adrien Marie Legendre - 1852 - 436 σελίδες
...right-angled triangle, right-angled at A : then will the square described on the hypothenuse BC be equivalent to the sum of the squares described on the other two sides, BA, AC. FGI H D Haying described a square on each of the three sides, let fall from A, on the hypothenuse,... | |
| Charles Davies - 1854 - 436 σελίδες
...triangle, right•angled at A : then will the square described on the hypothenuse BC be equivalent to the sum of the squares described on the other two sides, BA, AC. 1 GEOMETRY. Having described a square on each of the three sides, let fall from A, on the hy•... | |
| James Gray - 1854 - 120 σελίδες
...18-78 feet. Given any two sides of a right-angled triangle, to fiiid the other side. The square of the hypothenuse, or longest side, is equal to the sum of the squares of the other two sides ; therefore the diifercnce of the squares of the hypothenuse, and either... | |
| Daniel Leach - 1857 - 314 σελίδες
...longest side, or the one opposite the right angle, is called the hypothenuse, and A Ba''' the ofher two sides the base and perpendicular. 293. The square...hypothenuse, or longest side, is equal to the sum of the squares de" scribed on the other two sides. Thus, suppose the longest side is 10 ft., the base 6 ft.,... | |
| James Stewart Eaton - 1857 - 376 σελίδες
...or circumferences. FIG. 12. 6. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. This will be seen by counting the small squares in the square of the hypothenuse and those in the squares... | |
| John Daniel Runkle - 1859 - 478 σελίδες
...BT JAMES IIIUVAIIII OLIVER. The square described on t/te hypothenusc of a right-angled triangle is equal to the sum of the squares described on the other two sides. Drop a perpendicular from the right angle to the hypothenuse, and prove in the usual way that the two... | |
| William Wirt Howe - 1859 - 324 σελίδες
...confusion to the fact that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides ; or the able Editors should denounce the incoming flow of a spring tide as an altogether unprecedented... | |
| James Bates Thomson - 1860 - 440 σελίδες
...29. 30. 207*?. 34967 A371 578. The square described on the hypothenu.se of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The Irii/h of Ms principle may be seen from, the following... | |
| Johann Georg Heck - 1860 - 332 σελίδες
...this proposition is known as the Pythagorean: the square described upon the hypothenuse is equivalent to the sum of the squares described on the other two sides. As the unit of measure for the determination of the superficial relations of figures, we use a square... | |
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