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" The square of the base, or of the perpendicular, of a right-angled triangle is equal to the square of the hypothenuse diminished by the square of the other side. "
The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ... - Page 425
by Horatio Nelson Robinson - 1875 - 456 pages
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The New Normal Written Arithmetic: Designed for Common Schools, Normal ...

Edward Brooks - Arithmetic - 1877 - 438 pages
...hypothenuse equals the sum of the squares of the other two sides. 2. Hence, the square of either side equals the square of the hypothenuse, diminished by the square of the other side. NOTE. — The smallest integers which cau excess the relation of the three sides of a right-angled...
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The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - Arithmetic - 1877 - 528 pages
...hypothenuse equals the sum of the squares of the other two sides. 2. Hence, the square of either side equals the square of the hypothenuse diminished by the square of the other side. Base. NOTE. — The smallest integers Vhich can express the relation of the three sides of a right-angled...
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The Normal Union Arithmetic: Graded Course, Part 3

Edward Brooks - Arithmetic - 1877 - 232 pages
...hypothenuse equals the sum of the squares of the other two sides. 2. Hence, the square of either side equals the square of the hypothenuse, diminished by the square of the other side. NOTE. — The smallest integers which can express the relation of the three sides of a right^augled...
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Bradbury's Eaton's Practical Arithmetic ...

William Frothingham Bradbury - 1882 - 416 pages
...described on the other two sides. Hence, the square of either of the two sides which form the right angle is equal to the square of the hypothenuse diminished by the square of the other side. This will be seen by counting the small squares in the square on the hypothenuse and those in the squares...
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The Complete Arithmetic: Oral and Written, Volume 1

Daniel W. Fish - Arithmetic - 1881 - 542 pages
...hypothemtse of a right-angled triangle is equal to the sum of the squares of the other two tides. 2. Tlie square of the base, or of the perpendicular, of a right-angled triangle it equal to the square of the hypothenuse diminished by the square of the vther side. 886. To find...
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Fish's Arithmetic Number One[-two]: Oral and Written ..., Volume 2

Daniel W. Fish - Arithmetic - 1883 - 348 pages
...hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. II. The square of the base, or of the perpendicular, of...hypothenuse diminished by the square of the other side. FORMULAS : 1. ^/Base* + perpendicular* = hypothenuse. 2. V 'Hypothenuse* — base1 = perpendicular....
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Fish's Arithmetic Number Two: Oral and Written, Upon the Inductive ..., Book 2

Daniel W. Fish - Arithmetic - 1883 - 364 pages
...hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. II. Tlie square of the base, or of the perpendicular, of a...hypothenuse diminished by the square of the other side. 1. vBase* + perpendicular2 = hypothenuse. FORMULAS : -j 2. V Hypothenuse2 — base2 = perpendicular....
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Fish's Arithmetic Number Two: Oral and Written, Upon the Inductive ..., Book 2

Daniel W. Fish - Arithmetic - 1883 - 360 pages
...right-angled triangle is equal to the. sum o/ the squares o/ the other two sides. II. The square o/ the base, or of the perpendicular, of a right-angled...hypothenuse diminished by the square of the other side. FORMULAS : tri• 1. V'Base* + perpendicular 2 = hypothenuse. 2. V'Ifypothenuse* — base* •=. perpendicular....
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A New Complete Arithmetic: Uniting Oral and Written Exercises

Emerson Elbridge White - Arithmetic - 1883 - 370 pages
...other two sides. This principle is illustrated by the annexed diagram. 2. The square of the base or the perpendicular of a right-angled triangle is equal to the square of the hypotenuse, less the square of the other side. WRITTEN PROBLEMS. 1. The base of a right-angled triangle...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...BC2 — AB* + AC* ; which was to be proved. Cor. 1. The square of either side about the right angle is equal to the square of the hypothenuse diminished by the square of the other side : thus, AB2 = BC* - AC3 ; or, AC* = BC* - AB2. Cor. 2. If from the vertex of the right angle, a perpendicular...
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