| 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 - Geometry - 1825 - 276 pages
...Corollary. If three si'.nilar figures be constructed whose homologous sides are equal to the three sides of a right-angled triangle, the figure described...square of the hypothenuse is equal to the sum of the squares of the two other sides ; therefore, &c. Xv THEOREM. 223. The parts of two chords which cut... | |
| Adrien Marie Legendre - 1825 - 570 pages
...222. Corollary. If three similar figures be constructed whose homologous sides arc equal to the three sides of a right-angled triangle, the figure described...of their homologous sides ; now the square of the hypothenusc is equal to the sum of the squares of the two other sides ; therefore, &c. , THEOREM. 223.... | |
| 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... | |
| 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... | |
| 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... | |
| Ferdinand Rudolph Hassler - Astronomy - 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... | |
| 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... | |
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