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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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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - 1894 - 412 pages
...point of the base is perpendicular to the base, the triangle is isosceles. Ex. 29. Prove that a Une drawn from the vertex of an isosceles triangle to the middle of the base, (/) bisects the triangle, (2) bisects the vertical angle, (j) is perpendicular to the base. PROPOSITION...
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A Manual for Teachers: Including Definitions, Principles, and Rules and ...

John Henry Walsh - 1895 - 402 pages
...necessary to draw the chord. Permit them to do so at first. 15. The pupils have already learned that a line drawn from the vertex of an isosceles triangle to the center of the base, is perpendicular to the base. The method employed in bisecting a line is practically...
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Mathematics for Common Schools: A Manual for Teachers, Including Definitions ...

John Henry Walsh - 1896 - 282 pages
...necessary to draw the chord. Permit them to do so at first. 16. The pupils have already learned that a line drawn from the vertex of an isosceles triangle to the center of the base, is perpendicular to the base. The method employed in bisecting a line is practically...
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Elements of Geometry

George Washington Hull - 1897 - 408 pages
...they are mutually equiangular. § 603 Therefore Z A = /. B. QED 608. COR.—The arc of a great circle drawn from the vertex of an isosceles triangle to the middle of the base bisects the vertical angle and is perpendicular to the base. EXERCISES. 499. The greater the distance...
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Plane and Solid Geometry

James Howard Gore - 1898 - 232 pages
...equal sides are equal. 509. Tlie arc of a great circle 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. 510. If with the vertices of a spherical triangle as poles arcs of...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - 1904 - 112 pages
...middle point of the base is perpendicular to the base, the triangle is isosceles. Ex. 29. Prove that a line drawn from the vertex of an isosceles triangle to the middle of the base, (i) bisects the triangle, (2) bisects the vertical angle, (j) is perpendicular to the base. 93. Theorem....
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Graded Lessons in Arithmetic, Book 8

Wilbur Fisk Nichols - 1905 - 208 pages
...the base. Prove that BD J- AC, and bisects AC. 3. Using the same figure, prove that the line joining the vertex of an isosceles triangle to the middle of the base is perpendicular to the base, and bisects the angle at the vertex. Prove BD -L AC, and that BD bisects Z B. By conditions, what parts...
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Rational Grammar School Arithmetic

George William Myers - 1906 - 440 pages
...triangle? FIGURE .&, 20. One side of a regular hexagon is 36'. Find the area of the hexagon? 30. A straight line drawn from the vertex of an isosceles triangle to the middle of the _ base is perpendicular to the\ FIGURE 226 base. Find the area of a regular pentagon whose sides are...
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Plane and Solid Geometry

Isaac Newton Failor - 1906 - 440 pages
...three sides of the other." § 172 " being homologous A of equal A." QED 174 COROLLARY 1. The straight line drawn from the vertex of an isosceles triangle to the middle point of the base bisects the vertical angle and is perpendicular to the base. 175 COROLLARY 2. An...
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Plane and Solid Geometry

Isaac Newton Failor - 1906 - 431 pages
...three sides of the other." § 172 " being homologous A of equal A." QED 174 COROLLARY 1. The straight line drawn from the vertex of an isosceles triangle to the middle point of the base bisects the vertical angle and is perpendicular to the base. 175 COROLLARY 2. An...
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