| Frederick Beasley - Philosophy - 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... | |
| David Jennings - Bible - 1823 - 654 pages
...upon bis discovering what is called the Pythagoric theorem, namely, that in a right-angled triangle, **the square of the hypothenuse is equal to the sum of the** squares of the sides ? As for the Essenes it is not easy to reconcile their not using animal sacrifices... | |
| Jeremiah Day - Geometry - 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 - Geometry - 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... | |
| Charles Hutton - Mathematics - 1825 - 608 pages
...to the rectangle under their sum and difference. «. ED THEOREM XXXIV. IN any Right-angled Triangle, **the square of the Hypothenuse, is equal to the Sum of the** Squares of the other two Sides. Let ABC be a right-angled triangle, having the right angle o ; then... | |
| Adrien Marie Legendre, John Farrar - Geometry - 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... | |
| Abel Flint - Surveying - 1825 - 252 pages
...without finding the Angles ; according to the following PROPOSITION ; G 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... | |
| Silvestre François Lacroix - Geometry, Analytic - 1826 - 190 pages
...that similar triangles have their homologous sides proportional, and that in a right-angled triangle **the square of the hypothenuse is equal to the sum of the** squares of the two other sides, are the basis of the application of algebra to geometry. But there... | |
| Enoch Lewis - Algebra - 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... | |
| Ferdinand Rudolph Hassler - Trigonometry - 1826 - 208 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... | |
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