| 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,... | |
| Abel Flint - Geometry - 1804 - 216 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... | |
| Abel Flint - Geometry - 1808 - 168 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... | |
| Jeremiah Day - Measurement - 1815 - 388 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,... | |
| 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... | |
| Thomas Keith - 1817 - 304 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... | |
| Adrien Marie Legendre - Geometry - 1819 - 208 pages
...consequents FGH+FHI+F1K, or the polygon FGHIK, as one antecedent ABC is to its consequent FGH, or as . .'// **is to FG (219). Therefore the surfaces of similar...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... | |
| William Nicholson - Natural history - 1821
...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... | |
| English literature - 1835 - 564 pages
...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... | |
| 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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