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" The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. "
A System of Geometry and Trigonometry: With a Treatise on Surveying; in ... - Page 30
by Abel Flint - 1838 - 334 pages
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Bell's New Pantheon; Or, Historical Dictionary of the Gods, Demi-gods ...

John Bell - Classical dictionaries - 1790
...having discovered the 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 - Geometry - 1804 - 168 pages
...By a Table of Logarithmic Sines, &c. calculated for every Minute, the Angle will be found the same. By the Square Root. In this CASE the required Leg...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 - Geometry - 1808 - 168 pages
...By a Table of Logarithmic Sines, &c. calculated for every Minute, the Angle will be found the same. By the Square Root. In this CASE the required Leg...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 - Geometry - 1813 - 168 pages
...every Minute, the Angle will be found the same. By the Square Hoot. In this CASE the required Leg maybe found by the Square Root without Finding the Angles;...Square of the Hypothenuse is equal to the Sum of the Squares ofthe tivo Legs. Hence, The Square ofthe given Leg being subtracted from the Square of the...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 96 pages
...referred to. 94. Other relations of the sine, tangent, Sic. 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. I.) In the right angled triangles CBG, CAD, and CHF,...
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A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - Logarithms - 1815 - 126 pages
...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.) If the legs be given, extracting the square root...
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The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817
...arc AD B. 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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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...others ; for the three figures will be proportional to the squares of their homologous sides ; now the square of the hypothenuse is equal to the sum of the squares of the two other sides ; therefore, &c. THEOREM. 223. The parts of two chards which cut each...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 12

William Nicholson - Natural history - 1821
...right-angled 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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The New Monthly Magazine and Literary Journal, Volume 45

English literature - 1835
...that the three angles of a triangle are equal to two right angles ; and also, that in any right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides. In like manner did this ingenious gentleman demonstrate, that it was...
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