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" In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. "
Practical Mechanics - Page 168
by John Perry - 1883 - 271 pages
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...ADB PEOPOSITION X.— THEOREM. 28. The square of the length of the hypotenuse of a right triangle is the sum of the squares of the lengths of the other two sides, the three lengths being expressed in terms of the same unit Let ABC be right angled at C ; then For,...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 342 pages
...segments of the diameter. PROPOSITION X. The square of the length of the hypotenuse of a right triangle is the sum of the squares of the lengths of the other two sides, the three lengths being expressed in terms of the same unit. PROPOSITION XI. If two chords intersect...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...segments of the diameter. PROPOSITION X. The square of the length of the hypotenuse of a right triangle is the sum of the squares of the lengths of the other two sides, the three lengths being expressed in terms of the same unit. PROPOSITION XI. If two chords intersect...
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An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - Arithmetic - 1893 - 390 pages
...other two sides. Note. This means that, if the sides are all ex- jr pressed in terms of the same unit, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. It follows from the above that In a right triangle,...
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Applied Mechanics: A Treatise for the Use of Students who Have Time to Work ...

John Perry - Mechanical engineering - 1897 - 724 pages
...no matter what scale of measurement you use, the square of the length of the hypothenuse is equal to the sum of the squares of the lengths of the other...sides. Area of a triangle. — Any side multiplied iks perpendicular distance from the opposite corner and divided by two. The centre of gravity, or,...
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Machinists' and Draftsmen's Handbook: Containing Tables, Rules, and Formulas ...

Peder Lobben - Mechanical engineering - 1899 - 460 pages
...sides are called the base and perpendicular. The square of the length of the hypothenuse is equal to the sum of the squares of the lengths of the other two sides. ( See Fig. 5). a2 + b2 = c2 From this law the third side of a right-angled triangle can always be found,...
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Applied Mechanics ...

John Perry - Mechanics, Applied - 1905 - 700 pages
...no matter what scale of measurement you use, the square of the length of the hypothenuse is equal to the sum of the squares of the lengths of the other...multiplied by its perpendicular distance from the opposite corner and divided by two. The centre of gravity, or, rather, the centre Fig. i. of area, of a triangle...
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Treatise on Elementary Geometry

William Chauvenet - 1905 - 336 pages
...ADB PROPOSITION X.— THEOREM. 28. The square of the length of the hypotenuse of a right triangle is the sum of the squares of the lengths of the other two sides, the three lengths being expressed in terms of the same unit. Let ABC be right angled at C; then For,...
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Exercises in Geometry

Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...segments of the diameter. 2. The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 3. In a right triangle the square of either leg is equal to the square of the hypotenuse minus the...
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Printers' Arithmetic

Charles Lingle Woodfield - Arithmetic - 1917 - 154 pages
...triangles and is the hypotenuse of each of the triangles. The square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. Subtracting the square of the length of one side from the square of the length of the hypotenuse gives...
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