 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...demonstration proves the angle BAD = DAC, and the angle BDA— ADC. Hence the two last are right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to that base, and bisects the vertical angle. PROPOSITION XIV. THEOREM. In any spherical... | |
 | Thomas Keith - 1839 - 498 pages
...likewise equiangular, and the contrary. (315) COROLLARY III. A line drawn from the vertex of an isosceles triangle to the middle of the base, is perpendicular to the base. For the two sides FB and BC are equal to the two sides FA and AC, and the angle FBC is equal, to the... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...angle BAD = DAC, and the angle BDA — ADC. Consequently the two last are right angles ; therefore, the arc drawn from the vertex of an isosceles spherical...triangle to the middle of the base, is perpendicular to this base, and divides the angle opposite into two equal parts. THEOREM. . 232. 485. In any spherical... | |
 | Nathan Scholfield - 1845 - 894 pages
...demonstration proves the angle BAD =DAC, and the angle BDA=ADC. Hence the two last are ri^rht angles; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle. PROPOSITION XVI. THEOREM. ' In any spherical... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...demonstration proves the angle BAD =DAC, and the angle BDA— ADC. Hence the two last are right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle. PROPOSITION XVI. THEOREM. In any spherical... | |
 | Nathan Scholfield - Conic sections - 1845 - 244 pages
...demonstration proves the angle BAD =DAC, and the angle BDA=ADC. Hence the two last are right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle. PROPOSITION XVI. THEOREM. In any spherical... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
...BAD =DAC, and the angle BDA=ADC. Hence the two last are right angles ; hence the arc drawn from Ike vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle. PROPOSITION XVI. THEOREM. In any spherical... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...that the angle BAD = DAC, and the angle BDA = ADC. Hence the two last are right angles ; consequently the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to that bose, and bisects the opposite angle. X 2 PROPOSITION XXIX. THEOREM. In any... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...and the angle ADB to the angle ADC ; therefore each of the last two angles is a right angle. Hence the arc drawn from the vertex of an isosceles spherical...base, is perpendicular to the base, and bisects the vertical angle. PROPOSITION XVII. THEOREM. In a spherical triangle, the greater side is opposite the... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...that the angle BAD=DAC, and the angle BDA - ADC. Hence the two last are right-angles ; consequently the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right-angles to that base, and bisects the opposite angle. PROPOSITION XXIX. THEOREM. In any spherical... | |
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ADC ; the last two are therefore right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is perpendicular to the base, and bisects the vertical angle. 
