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" 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. "
Chauvenet's Treatise on Elementary Geometry - Page 119
by William Chauvenet, William Elwood Byerly - 1887 - 322 pages
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Practical Mechanics

John Perry - Machinery, Kinematics of - 1883 - 486 pages
...no matter what scale of measurement you use, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Area of a triangle. — Any side multiplied by its perpendicular distance from the opposite angle and...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...diameter, the perpendicular is a mean proportional between the segments of the diameter. PROPOSITION X. The square of the length of the hypotenuse of a right...lengths being expressed in terms of the same unit. PROPOSITION XI. If two chords intersect within a circle, their segments are reciprocally proportional....
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...diameter, the perpendicular is a mean proportional between the segments of the diameter. PROPOSITION X. The square of the length of the hypotenuse of a right...lengths being expressed in terms of the same unit. PROPOSITION XI. If two chords intersect within a circle, their segments are reciprocally proportional....
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An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - Arithmetic - 1893 - 390 pages
...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, the square of either side about the right angle...
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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 two sides. Area of a triangle. — Any side multiplied iks perpendicular distance from the opposite corner and...
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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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Treatise on Elementary Geometry

William Chauvenet - 1905 - 336 pages
...diameter, the perpendicular is a mean proportional between the segments of the diameter. PROPOSITION X. The square of the length of the hypotenuse of a right...lengths being expressed in terms of the same unit. PROPOSITION XI. If two chords intersect within a circle, their segments are reciprocally proportional....
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Exercises in Geometry

Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...upon a diameter, the perpendicular is a mean proportional between the 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...
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The Teaching of High School Mathematics

George William Evans - Mathematics - 1911 - 116 pages
...be my excuse for introducing here one of the many modifications of Euclid's proof that the square on the hypotenuse of a right triangle is the sum of the squares on the other two sides. The proof of the Pythagorean theorem can be based on similar triangles or on...
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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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