 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.  The Eclectic School Geometry - Side 42av Evan Wilhelm Evans - 1884 - 149 siderUten tilgangsbegrensning - Om denne boken
 | Sir John Leslie - 1809 - 522 sider
...the rhomboid BE, and the rhomboid BF is equivalent to the trapezoid ABCD. BOOK II. PROP. XIV. THEOR. The square described on the hypotenuse of a right-angled triangle, is equivalent to the squares of the two sides. Let ACB be a triangle which is right-angled at B; the square of the hypotenuse... | |
 | John Dougall - 1810 - 734 sider
...whole line AB, or 6 X6 = 36. PROP. XVTII. for. t, Plate 2. The square constructed on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares constructed or the two sides containing the right angle. Let ABC be a trianale, having a right angle... | |
 | Sir John Leslie - 1817 - 456 sider
...perpendiculars branching from the great line to each remarkable flexure of the extreme boundary. PROP. X. THEOR. The square described on the hypotenuse of a right-angled triangle, is equivalent to the squares of the two sides. / Let the triangle ABC be right-angled at B ; the square described on the... | |
 | Adrien Marie Legendre - 1822 - 394 sider
...described on BC : hence we have (AB+BC) x (AB — BC) = AB2 — BC*. LFGI E JJ 57 PROPOSITION XI. THEOREM. The square described on the hypotenuse of a right-angled...equivalent to the sum of the squares described on the two sides. Let the triangle ABC be rightangled at A. Having formed squares on the three sides, let... | |
 | James Hayward - 1829 - 218 sider
...multiplying both sides by a, we have a2 = 62 -f- c8, that is — The square described upon the hypothenuse of a right-angled triangle, is equivalent to the sum of the squares described upon the other two sides. 173. We may demonstrate this truth from the areas immediately, without referring... | |
 | John Playfair - 1829 - 210 sider
...Prop. 47. 1. In any right angled triangle the square described on the hypothenuse is equal to both the squares described on the other two sides. Let ABC be a right angled triangle, having the right angle ACB, and let the squares AE, FC, Cl be described on the... | |
 | Adrien Marie Legendre - 1830 - 344 sider
...proposition is equivalent .to the algebraical formula, (a + V) (a — 6)=«2 — 62. v THEOREM. 186. The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of tJie squares described on the two sides. Let the triangle ABC be right-angled at A. Having formed squares... | |
 | Thomas Perronet Thompson - 1833 - 168 sider
...PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides of a triangle, be equal to the sum of the squares described on the other two sides of it; the angle made by those two sides is a right angle. Let ABC be a triangle, which is such that... | |
 | Adrien Marie Legendre - 1838 - 382 sider
...LCBI 78 GEOMETRY, PROPOSITION XI. THEOREM. 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 the triangle ABC be right angled at A. Having described squares on the three sides, let fall from A,... | |
 | Charles Davies - 1840 - 262 sider
...4=90 degrees. 10. 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 triangle, right angled at C, then will the square D described on AB... | |
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