 | John Bell - 1790 - Страниц: 422
...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 - Страниц: 226
...Square Root, 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 - Страниц: 190
...Square Root, 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 - Страниц: 172
...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... | |
 | Jeremiah Day - 1815 - Страниц: 388
...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,... | |
 | Thomas Keith - 1817 - Страниц: 306
...124-i-3=41'33jlength of the 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... | |
 | 1818 - Страниц: 594
...Japanese knew how to demonstrate geometrical truths, I asked whether they were perfectly convinced that in a rightangled triangle the square of the hypothenuse is equal to the squares of the other two sides ? He answered in the affirmative. I then asked how they were certain... | |
 | Adrien Marie Legendre - 1819 - Страниц: 574
...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 - Страниц: 356
...other 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... | |
 | William Nicholson - 1821 - Страниц: 356
...other 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 square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. 
