 | Adrien Marie Legendre - 1819 - 574 pàgines
...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 lo this base, and divides the angle opposite into two equal parts. THEOREM.... | |
 | Adrien Marie Legendre - 1822 - 394 pàgines
...proves the angle BAD=DAC, and the angle BDA=ADC. Hence the two 172 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 opposite angle. PROPOSITION XVI. THEOREM.... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 294 pàgines
...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. I... | |
 | 1834 - 578 pàgines
...the anele between the body's real place, and the direction of the earth's motion : * and, secondly, that if an arc of a great circle be drawn from the star to the point of the celestial ecliptic, 90° before the earth's place, this arc will measure the... | |
 | 1834 - 574 pàgines
...the angle between the body's real place, and the direction of the earth's motion : * and, secondly, that if an arc of a great circle be drawn from the star to the point of the celestial ecliptic, 90° before the earth's place, this arc will measure the... | |
 | Adrien Marie Legendre - 1836 - 394 pàgines
...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.... | |
 | Benjamin Peirce - 1837 - 216 pàgines
...the angle ADB = ADC, and, therefore, each is a right angle ; and also DAB = 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. 454. Corollary. An... | |
 | Adrien Marie Legendre - 1841 - 288 pàgines
...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.... | |
 | 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.... | |
 | Nathan Scholfield - 1845 - 542 pàgines
...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.... | |
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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. 
