| Benjamin Greenleaf - 1862 - 518 pages
...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. • 553. In a spherical triangle, the... | |
| Benjamin Greenleaf - 1862 - 532 pages
...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. 553. In a spherical triangle, the greater... | |
| Adrien Marie Legendre - 1863 - 464 pages
...The angle BAD is equal to DAC, and BDA to CDA : hence, the last two are right angles. Consequently, a line drawn from the vertex of an isosceles triangle to the middle of the base, bisects the vertical angle, and is perpendicular to the base. PROPOSITION XII. THEOREM. If two angles... | |
| Benjamin Greenleaf - 1863 - 504 pages
...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. 553. In a spherical triangle, the greater... | |
| Benjamin Greenleaf - 1868 - 340 pages
...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. 553. In a spherical triangle, the greater... | |
| Adrien Marie Legendre - 1871 - 490 pages
...BAD is equal to DAC, and BDA to CDA : hence, the last two are right angles. Consequently, a stra1ght line drawn from the vertex of an isosceles triangle to the middle of the lase, lisects the angle at the vertex, and is perpendicular to the base. PROPOSITION XII. THEOREM.... | |
| William Chauvenet - 1871 - 380 pages
...equal to the adjacent angle ADC; therefore, the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base is perpendicular to the base and also bisects the vertical angle. 80. Scholium. This proposition and its corollary may also be proved... | |
| Charles Davies - 1872 - 464 pages
...BAD is equal to DAC, and BDA to CDA : hence, the last two are right angles. Consequently, a stra1ght line drawn from the vertex of an isosceles triangle to the middle of t?1e base, bisects the angle at the vertex, and is perpendicular to the base. PROPOSITION XII. THEOREM.... | |
| William Chauvenet - 1872 - 382 pages
...equal to the adjacent angle ADC; therefore, the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base is perpendicular to the base and also bisects the vertical angle. 80. Scholium. This proposition and its corollary may also be proved... | |
| Adrien Marie Legendre - 1874 - 500 pages
...BAD is equal to DAC, and BDA to CD A : hence, the last two are right angles. Consequently, a stra1ght line drawn from the vertex of an isosceles triangle to the middle of the base, bisects the angle at the vertex, and is perpendicular to the base. PROPOSITION XII. THEOREM. If two... | |
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