 | George Darley - 1828 - 190 σελίδες
...depend on the principles of Geometry and Trigonometry. AHT. 132. " If the square described upon one side of a triangle be equal to the squares described on the other sides of the triangle, taken together, the angle opposite to thejirstmentioned side is a right angle,"... | |
 | Thomas Perronet Thompson - 1833 - 168 σελίδες
...And by parity of reasoning, the like may be proved in every other instance. Wherefore, universally, if the square described on one of the sides of a triangle, &c. Which was to be demonstrated. END OF THE FIRST BOOK. NOTES, FAMILIAR AND GEOMETRICAL. NOMENCLATURE... | |
 | Euclid - 1835 - 540 σελίδες
...Therefore, " in any right angled triangle," &c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. f*. l. g... | |
 | 1836 - 488 σελίδες
...squares described upon the sides which contain the right angle. XLVIII. If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. BOOK п.... | |
 | John Playfair - 1836 - 148 σελίδες
...which contain the right angle. Which was to be proved. PROP. XVIIL THEOR. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. If the square... | |
 | George Darley - 1836 - 172 σελίδες
...parallelograms about the diagonal are equal to each other, 101. ART. 132. If the square described upon one side of a triangle be equal to the squares described on the other sides of the triangle, taken together, the angle opposite to the first-mentioned side is a right angle,... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...remaining square ofI)F. and therefore AC is less than DF. PROP. XLVIII. THEOR. IF the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides, the angle contained by those two sides is a right angle. If the square described... | |
 | Andrew Bell - 1837 - 290 σελίδες
...Therefore H2 — B2 = P^ ; and II2 — P2 = B2. PROPOSITION XLVIII. THEOREM. If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. triangle ABC,... | |
 | Euclides - 1841 - 378 σελίδες
...Therefore, in any right-angled triangle, &c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. Let the square... | |
 | John Playfair - 1842 - 332 σελίδες
...also be equal, and the triangles will be identical. PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. If the square... | |
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If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. 
