| Charles Davies - 1854 - 436 Seiten
...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•... | |
| Robert Potts - 1855 - 1050 Seiten
...rhombus. 3. All the exterior angles of any rectilineal figure are together equal to four right angles. 4. In a right-angled triangle, the square on the side...subtending the right angle is equal to the sum of the squares on the sides containing the right angle. Consider the case of a rectangle, from which a rectangular... | |
| James Stewart Eaton - 1857 - 376 Seiten
...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... | |
| 1859 - 414 Seiten
...number of degrees in an exterior angle. 6. In any right angled triangle, the square described upon the side subtending the right angle is equal to the sum of the squares described upon the sides containing the right angle. Describe a square equal to ten times a... | |
| John Daniel Runkle - 1859 - 478 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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... | |
| Charles Davies - 1861 - 496 Seiten
...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... | |
| War office - 1861 - 714 Seiten
...did they each start with. Euclid. 1. In a right angled triangle, the square which is described upon the side subtending the right' angle, is equal to the sum of the squares described upon the sides which contain the right angle. 2. From a given circle, cut off a segment... | |
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