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" ... the square of the hypothenuse is equal to the sum of the squares of the other two sides. "
Elements of Surveying: With a Description of the Instruments and the ... - Page 57
by Charles Davies - 1840
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Bell's New Pantheon: Or, Historical Dictionary of the Gods, Demi-gods ...

John Bell - Classical dictionaries - 1790 - 422 pages
...demonstration of the 47th proposition of the first book of Euclid, viz. that in n right angled triangle the square of the hypothenuse is equal to the sum of the squares of the two other sides. Julius Capito/ linus relates, that when an Hecatomb was to be sacrificed,...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - Surveying - 1804 - 226 pages
...without finding the Angles ; according to the following PROPOSITION : In every Right Angled Triangle, the Square of the Hypothenuse is equal to the Sum of the Squares of the two Legs. Hence, The Square of the given Leg being subtracted from the Square of the...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - Surveying - 1808 - 190 pages
...without Finding the Angles ; according to the following PROPOSITION : In every Right Angled Triangle, the Square of the Hypothenuse is equal to the Sum of the Squares of the two Legs. Hence, The Square of the given Leg being subtracted from the Square of the...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - Mathematics - 1811 - 406 pages
...to the rectangle under their sum and difference, o.. ED THEOREM XXXIV. IN any Right-angled Triangle, the Square of the Hypothenuse, is equal to the Sum of the Squares of the other two Sides. Let ABC be a right-angled triangle, having the right angle c ; then...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 388 pages
...are referred to. 94. Other relations of the sine, tangent, &c. may be derived from the proposition, that the square of the hypothenuse is equal to the sum of the squares of the perpendicular sides. (Euc. 47. 1.) > that is' RZ =co . 3. "CF2 = And, extracting the...
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A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - Logarithms - 1815 - 172 pages
...given, the third side may be found, without the aid of the trigonometrical tables, by the proposition, that the square of the hypothenuse is equal to the sum of the squares of the two perpendicular sides. (Euc. 47. 1.) the hypothenuse, and the angles.* If the legs...
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The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 306 pages
...4. An angle IAD in a semi'circle is a right angle (EUCLID 31 ./III.) 5. In a right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides, (EuctiD 47 «/"!.) see also Problem VI. 6. If a perpendicular be drawn...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 12

William Nicholson - Natural history - 1821 - 356 pages
...triangles, which are similar to the first triangle, and to one another. In every right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides; and, in general, any figure described on the hypothenuse is equal to...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 12

William Nicholson - Natural history - 1821 - 356 pages
...triangles, which are similar to the first triangle, and to one another. In every right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides; and, in general, any figure described on the hypothenuse is equal to...
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A Search of Truth in the Science of the Human Mind, Part First, Volume 1

Frederick Beasley - Philosophy - 1822 - 584 pages
...parallelograms be added together they will be equal to the smaller squares added together, or in other words, the square of the hypothenuse, is equal to the sum of the squares of the other sides. It will here be distinctly perceived, that the progress of the understanding...
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