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Llibres Llibres 1 - 10 de 48 sobre In any spherical triangle, the greater side is opposite the greater angle ; and conversely,....
" In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side. "
New Plane and Spherical Trigonometry - Pągina 95
per Webster Wells - 1896 - 126 pągines
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Elements of Geometry

Adrien Marie Legendre - 1819 - 208 pągines
...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....
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 367 pągines
...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....
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre - 1825 - 224 pągines
...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...
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Library of Useful Knowledge: Natural philosophy, Volum 3

Society for the Diffusion of Useful Knowledge (Great Britain) - 1834
...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...
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Library of Useful Knowledge: Natural Philosophy...

1834
...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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 pągines
...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....
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1837 - 159 pągines
...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...
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Elements of geometry

Adrien Marie Legendre - 1841 - 235 pągines
...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....
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - 1845
...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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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - 1845 - 232 pągines
...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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