 | 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... | |
 | John Cumming - 1861 - 540 σελίδες
...first book of Euclid, that the square described on the hypothenuse of any right-angled triangle is equal to the sum of the squares described on the other two sides — I remember I could prove that step by step ; but I have been so much out of the way of mathematics... | |
 | Charles Davies - 1861 - 496 σελίδες
...angles to each other. 384. In a right-angled triangle the square described on thr Base. hypothenuse is equal to the sum of the squares described on the other two sides. Thus, if ACB be a right-angled triangle, right-angled at C, -then will the large square, D, described... | |
 | Benjamin Greenleaf - 1861 - 638 σελίδες
...— THEOREM. 237. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum. of the squares described on the other...sides. Let ABC be a right-angled triangle, having the right angle at A; then the square described on the hypothenuse BC will be equivalent to the sum of... | |
 | Benjamin Greenleaf - 1862 - 518 σελίδες
...— THEOREM. 237. 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. Let ABC be a right-angled 'triangle, having the right angle at A ; then the square described on the hypothenuse BC will be equivalent to the sum of... | |
 | Benjamin Greenleaf - 1863 - 504 σελίδες
...— THEOREM. 237. 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. Let ABC be a right-angled triangle, having the right angle at A ; then the square described on the hypotheiiuse BC will be equivalent to the sum of... | |
 | Adrien Marie Legendre - 1863 - 464 σελίδες
...CBK PROPOSITKOT XL THEOREM. The square described on the hypothemcse of a right-angled triangle, is equal to the sum of the squares described on the other two sides. Let ABC be a triangle, right-angled at A : then will BCZ = AB2 + AC\ Construct the square BCr on the side BC, the... | |
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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. 
