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" 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. "
An Introduction to the Theory and Practice of Plane and Spherical ... - Page 136
by Thomas Keith - 1810 - 420 pages
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Elements of Geometry and Trigonometry: With Practical Applications

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...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

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...
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Elements of Geometry and Trigonometry

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...
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Elements of Geometry: With Practical Applications to Mensuration

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...
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Elements of Geometry: With Practical Applications to Mensuration

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...
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Elements of Geometry and Trigonometry

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....
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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....
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

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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