 | Euclides - 1856 - 168 pages
...the sum of the squares BG, C H. XLVII.— EUCLID I. 48. If the square described upon one of the sides of a triangle be equal to the sum of the squares described on the two other sides, the angle contained by these two sides is a right angle. Let ABC (Fig. 37) be a triangle... | |
 | James Stewart Eaton - Arithmetic - 1857 - 376 pages
...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 - Mathematics - 1859 - 478 pages
...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 pages
...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 - Arithmetic - 1860 - 440 pages
...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 - Encyclopedias and dictionaries - 1860 - 332 pages
...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 pages
...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 - Arithmetic - 1861 - 496 pages
...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 - Geometry - 1861 - 638 pages
...— 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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...— 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... | |
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If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle. 
