 | Florian Cajori - Arithmetic - 1915 - 464 pages
...of the numbers of little squares in the first two cases ? In this right triangle 5 2 = 3 2 + 4 2 . The square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides. Note the length of the hypotenuse by h and the lengths of the two... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 402 pages
...the square on the hypotenuse. HISTORICAL NOTE The Pythagorean Theorem. The theorem that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides was discovered by Pythagoras and is usually called the Theorem of... | |
 | Reuben Wesley Burnham - Machine-shop practice - 1915 - 244 pages
...one of most useful rules known in the calculation of distances. The rule states that: " the square on the hypotenuse of a right triangle is equal to the sum of the squares on the vther two sides." If squares are drawn on the three sides of the right triangle... | |
 | Mathematics - 1915 - 830 pages
...gives in Book VI, prop. 31 a generalization of this theorem, to the effect that every figure drawn on the hypotenuse of a right triangle is equal to the sum of the figures drawn on the two sides if the figures are similar and similarly placed. Thus, for example,... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 412 pages
...square on the hypotenuse. HISTORICAL НОТЕ The Pythagorean Theorem. The theorem that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides was discovered by Pythagoras and is usually called the Theorem of... | |
 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...much did the farmer receive for the land ? Ans. $361.57. PLANE GEOMETRY 366. THEOREM. The square on the hypotenuse of a right triangle is equal to the sum of the squares on the legs. F HN FIG. 108. Given the rt. triangle ABC, with C the right angle. To prove... | |
 | Eva F. Buker - 1915 - 436 pages
...sides of the triangle the same as you have found in the other triangle ? 6. The square described on the hypotenuse of a right triangle is equal to the sum of the squares described on the other two sides. 7. The square described upon either the base or the altitude... | |
 | Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...external segment is 10 feet. Find the length of the tangent and secant. FIG. 259 7. Using Fig. 259, prove that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Let ABC be a right triangle having ZC = 90°. Show that BE-BD=~B(?.... | |
 | William Betz - Geometry - 1916 - 536 pages
...of the hypotenuse. The Pythagorean Theorem follows also as a corollary (from 4). 396. COROLLARY 4. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs. From Proposition IX and Corollary 1 follows directly 397. COROLLARY 5. If... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...proportional between a and 3 a. (Construction is to be given by the pupil.) PROPOSITION XIV. THEOREM 291. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs. Hypothesis. In A ABC, /. C is a right angle. Conclusion. c2 = a2 + 62. Proof.... | |
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The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 
