 | David Jennings - 1823 - 654 pàgines
...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 pàgines
...AD : AC::CH : HF tan : R::R : cot. Therefore R3 = 94. Other relations of the sine, tangent, «Szc. 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. 1.) In the right angled triangles CBG, CAD, and CHF,... | |
 | Charles Hutton - 1825 - 608 pàgines
...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 - 1825 - 294 pàgines
...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 - 1825 - 252 pàgines
...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... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 pàgines
...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... | |
 | Ferdinand Rudolph Hassler - 1826 - 212 pàgines
...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 pàgines
...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 pàgines
...the 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 - 1826 - 190 pàgines
...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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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
