| John Bell - 1790
...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 - 1804 - 168 páginas
...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 - 1808 - 168 páginas
...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 - 1815 - 96 páginas
...are 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 - 1815 - 126 páginas
...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.) In the right angled triangles CBG, CAD, and CHF,... | |
| Olinthus Gregory - 1816 - 244 páginas
...the rule to the respective case under which any specified example falls : and it will then be found, **since a right angle is always one of the data, that...rule usually becomes simplified in its application;** as appeared in the solution of the second example to case 2. 2. When two of the sides are given, the... | |
| Thomas Keith - 1817
...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 - 1819 - 208 páginas
...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... | |
| 1835
...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 - 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... | |
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