 | 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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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
