 | 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 - 294 pages
...FHI + FIK, or the polygon FGHIK, as one antecedent ABC is to its consequent FGH, or as AB is to — 2 FG (219). Therefore the surfaces of similar polygons...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... | |
 | Adrien Marie Legendre - Geometry - 1825 - 276 pages
...to each other, as the squares of their homologous sides. --,'• 222. Corollary. If three si'.nilar figures be constructed whose homologous sides are...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, John Farrar - Geometry - 1825 - 280 pages
...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 pages
...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 - 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... | |
 | 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... | |
 | 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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The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. 
