 | John Bell - 1790 - 422 halaman
...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,... | |
 | Abel Flint - 1804 - 226 halaman
...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... | |
 | Abel Flint - 1808 - 190 halaman
...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... | |
 | Abel Flint - 1813 - 214 halaman
...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... | |
 | Jeremiah Day - 1815 - 388 halaman
...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 - 172 halaman
...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 - 306 halaman
...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... | |
 | Adrien Marie Legendre - 1819 - 574 halaman
...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... | |
 | William Nicholson - 1821 - 356 halaman
...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... | |
 | 1835 - 564 halaman
...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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The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. 
