 | Jeremiah Day - 1815 - 172 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... | |
 | Jeremiah Day - 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,... | |
 | Adrien Marie Legendre - 1819 - 574 pages
...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 pages
...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,...the hypothenuse is equal to the sum of two similar 6gures described upon the two sides. In an isosceles triangle, that is, a triangle having two of its... | |
 | Frederick Beasley - 1822 - 584 pages
...parallelograms be added together they will be equal to the smaller squares added together, or in other words, the square of the hypothenuse, is equal to the sum of the squares of the other sides. It will here be distinctly perceived, that the progress of the understanding... | |
 | Jeremiah Day - 1824 - 440 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. I.) If the legs be given, extracting the square root... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 pages
...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 chords which cut each... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 294 pages
...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. V 223. The parts of two chords which cut each other... | |
 | Ferdinand Rudolph Hassler - 1826 - 640 pages
...three sides; to find the Surface of the triangle. By the theorem of geometry, so often employed : that the square of the hypothenuse is equal to the sum of the squares of the two sides, and expressing the parts by trigonometry, as in section 56, we find : BD... | |
 | Enoch Lewis - 1826 - 180 pages
...compound, it is called an adfected quadratic equation. * To solve this problem, it must be recollected that the square of the hypothenuse is equal to the sum of the squares of the other two sides, and that the area is half the product of those sides. RULE 1. Arrange... | |
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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
