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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. "
Plane Geometry - Page 166
by Webster Wells, Walter Wilson Hart - 1915 - 309 pages
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...the tangent is the mean proportional between the whole secant and its external segment, prove that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two legs. GEOMETRY (A), JUNE, 1906 (Time allowed, one hour.) 1. Prove that two right...
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A Grammar School Arithmetic

L. V. Arnold - Arithmetic - 1911 - 186 pages
...root, cube root. What practical use may be made of square root? Prove the principle: "The square on the hypotenuse of a right triangle is equal to the sum of the squares on the base and altitude." Prove that a triangle having sides 9 in. x 12 in. x 15 in. is...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 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...
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...of the hi/potenuse. 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...
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First Course in Algebra

William Benjamin Fite - Algebra - 1913 - 368 pages
...of one side. 2. The area of a triangle is equal to one half the product of its base and altitude. 3. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the two sides. Ve 30 V5 + V3 4 -УЗ :„ 2 V7-5 4. The area of a circle is equal to...
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Milne's New York State Arithmetic, Book 2

William James Milne - Arithmetic - 1914 - 524 pages
...a triangular sail whose base is 18 ft. and whose altitude is 27 ft. ? The principle (page 295) that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides, may be stated : & = (?+&, (1) in which H stands for the hypotenuse...
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Grammar School Book

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...
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Farm Shop Work: Practical Manual Training

George Marshall Brace, Dexter Dwight Mayne - Farm shops - 1915 - 312 pages
...braced, the brace will be 50.92" long. The length 177 1 78 of the brace can also be obtained by geometry. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In Bmcf Measure. Oclbgen Jca/e. FIG. 152. — STEEL SQUARE. this...
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Public Speaking, Principles and Practice

James Albert Winans - Elocution - 1915 - 504 pages
...preceding chapter, the major premise of such an argument is the expression of an emotion. If we argue that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides, we have pure reasoning, free from emotion ; hut when we take up...
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Public Speaking, Principles and Practice

James Albert Winans - Elocution - 1915 - 538 pages
...preceding chapter, the major premise of such an argument is the expression of an emotion. If we argue that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides, we have pure reasoning, free from emotion; but when we take up...
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