 | Euclid, Dionysius Lardner - 1828 - 542 Seiten
...is also a right angle. This proposition may be extended thus : The vertical angle of a triangle is less than, equal to, or greater than a right angle, according as the square of the base is less than, equal to, or greater than the sum of the squares of the sides. For... | |
 | Edward Harri Mathews - 1879 - 94 Seiten
...parallelogram if the diagonals bisect each other. j. Prove that the angle at the vertex of a triangle is less than, equal to, or greater than a right angle, according as the line joining the vertex to the middle point of the base is greater than, equal to, or less than half... | |
 | Marianne Nops - 1882 - 278 Seiten
...straight lines. How many such lines may be drawn ? 72. Prove that the angle at the vertex of a triangle is less than, equal to, or greater than a right angle according as the line joining the vertex to the middle point of the base is greater than, equal to, or less than half... | |
 | James McMahon - 1903 - 380 Seiten
...to, or greater than, a right angle. Let ACB be an angle in the segment ABC. D To prove that ACB is less than, equal to, or greater than, a right angle, according as the arc ACB is greater than, equal to, or less than, a semicircle. Take the center O, and draw OA, OB.... | |
 | Jacob William Albert Young - 1911 - 434 Seiten
...point D will fall at B', B, or B" according as KD is less than, equal to, L FIG. 18. B'B B" AB FIG. 19. or greater than LB. In these three cases 2^D is greater...however, the following theorem : In the Lobachevskian and Riemannian geometries, a summitangle of an isosceles birectangular quadrilateral cannot equal a right... | |
 | Horatio Scott Carslaw - 1916 - 193 Seiten
...the proof concisely : 1. In any triangle ABC in which the angle C is a right angle, the angle A is less than, equal to, or greater than a right angle, according as the segment BC is less than, equal to, or greater than JJ. Let P be the pole of the side AC. FIG. 90. Then... | |
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B', B, or B" according as KD is less than, equal to, L FIG. 18. B'B B" AB FIG. 19. or greater than LB. In these three cases 2^D is greater than, equal to, or less than, 2±B respectively. Hence: Each summit angle of an isosceles birectangular quadrilateral... 