| Euclides - 1821 - 294 pages
...side is the same.. For it is the O 2 of the perpendicular. ,. • PROP. 48. TIIEOR. Jf the square of one side of a triangle be equal to the sum of the squares of the other troo sides, the angle opposite to that side is a right angle. From the vertex of this... | |
| Olinthus Gregory - Architecture - 1825 - 438 pages
...square of the hypothenuse is equal to the sum of the squares of the two sides. 17. If the square of one side of a triangle be equal to the sum of the squares of the other two sides ; then the angle comprehended by them is a right angle. 18. If an angle A, of... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...to the turn of the squares of the sides which contain that angle : and conversely, if the square of one side of a triangle be equal to the sum of the squares of the other two sides, the angle contained by these two sides shall be a right angle. Let AB С be... | |
| Pierce Morton - 1830 - 300 pages
...to the sum of the squares of the sides which contain that angle : and conversely, if the square of one side of a triangle be equal to the sum of the squares of the other two sides, the angle contained by those two sides shall be a right angle. Upon B С, BA,... | |
| John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...geometric series, and apply it to f + | + ad inf. 8. If the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. 9. One circumference... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...g. tConstr. JINTERc. 1 PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides of a triangle, be equal to the sum of the squares described on the other two sides of it; the angle made by those two sides is a right angle. Let ABC be a triangle, which is such that... | |
| Euclides - 1833 - 304 pages
...third side, is the same. For, it is the D 2 of the perpendicular. PROP. 48. THEOR. If the square of one side of a triangle be equal to the sum of the squares of the other two sides, the angle opposite to that side is a right angle. From the vertex of this angle,... | |
| John Martin Frederick Wright - Astronomy - 1833 - 332 pages
...trlangl§ are together equal to two right angles. 8. If the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it; the angle contained by these two sides is a right angle. 9. One circumference... | |
| Olinthus Gregory - Mathematics - 1834 - 484 pages
...square of the hypothenuse is equal to the sum of the squares of the two sides. 17. If the square of one side of a triangle be equal to the sum of the squares of the other two sides ; then the angle comprehended by them is a right angle. 18. If an angle A, of... | |
| Olinthus Gregory - Mathematics - 1834 - 472 pages
...square of the hypothenuse is equal to the sum of the squares of the two sides. 17. If the square of one side of a triangle be equal to the sum of the squares of the other two sides ; then the angle comprehended by them is a right angle. 18. If an angle A, of... | |
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