 | Frederick Beasley - 1822 - 584 σελίδες
...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 - 1823 - 654 σελίδες
...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 - 1824 - 440 σελίδες
...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 σελίδες
...222. Corollary. If three similar figures be constructed whose homologous sides are equal to the fhree 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. THEOREM. 223. The parts of two chords which cut each... | |
 | Adrien Marie Legendre - 1825 - 570 σελίδες
...homologous sides. 222. Corollary. If three similar figures be constructed whose homologous sides arc equal to the three sides of a right-angled triangle,...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.... | |
 | Abel Flint - 1825 - 252 σελίδες
...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... | |
 | Charles Hutton - 1825 - 608 σελίδες
...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... | |
 | Enoch Lewis - 1826 - 180 σελίδες
...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 - 1826 - 640 σελίδες
...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 - 1826 - 208 σελίδες
...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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The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. 
