 | Nathan Scholfield - 1845 - 894 pàgines
...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.... | |
 | George Roberts Perkins - 1847 - 326 pàgines
...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.... | |
 | Benjamin Peirce - 1847 - 204 pàgines
...and, Isosceles Triangle. therefore, each is a right angle ; and also DAIi = DAC, that is, 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 angle at the vertex. 455. Corollary. An... | |
 | Elias Loomis - 1849 - 252 pàgines
...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 triangle, to the middle of the base, is perpendicular to the base, and bisects the vertical angle. PROPOSITION XVII. THEOREM.... | |
 | George Roberts Perkins - 1850 - 332 pàgines
...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.... | |
 | Adrien Marie Legendre - 1852 - 436 pàgines
...10), the angle BAD=DAC, and BDA— ADC: consequently, ADB and ADC, 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 XII. THEOEEM.... | |
 | Charles Davies - 1854 - 436 pàgines
...10), the angle BAD=DAC, and BDA — ADC: consequently, ADB and ADC, 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. BOOK IX. 237 PROPOSITION... | |
 | George Roberts Perkins - 1856 - 460 pàgines
...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. THEOREM XIv. In any spherical... | |
 | Elias Loomis - 1858 - 256 pàgines
...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 triangle, to the middle of the base, is perpendicular to the base, and bisects the vertical angle. In a spherical triangle,... | |
 | Benjamin Greenleaf - 1862 - 518 pàgines
...to DAC, and the angle BDA is equal to 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. PROPOSITION XVI. — THEOREM.... | |
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In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side. 
