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" ADC ; the 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. "
The Elements of Geometry - Page 334
by Webster Wells - 1886 - 371 pages
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...the diameter of the section of a sphere of diameter. 10 in. made by a plane 3 in. from the center. 4. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the mid-point of the base bisects the vertical angle, is perpendicular to the base, and divides the triangle...
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Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...the vertex and bisects, the vertex angle. § 206 A, ED 2. The line joining the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base and bisects the vertex angle. 3. The bisector of the vertex angle of an isosceles triangle bisects the base and is...
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Solid Geometry

John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...of ZE and /. D, respectively. § 470 8. .-.AC=B&. Supp. of equals EXERCISES 1. The great circle arc from the vertex of an isosceles spherical triangle to the middle point of the base bisects the vertical angle, is perpendicular to the base, and divides the triangle into two triangles...
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...the vertex and bisects the vertex angle. § 206 AED 2. The line joining the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base and bisects the vertex angle. 3. The bisector of the vertex angle of an isosceles triangle bisects the base and is...
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Junior High School Mathematics: First [-third] Course, Book 3

William Ledley Vosburgh, Frederick William Gentleman, Jasper Ole Hassler - Mathematics - 1924 - 312 pages
...the line AB. Would these be right angles? 3. Prove that a line drawn from the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base. HINT. Use Exercises 1 and 2 and Axiom 1. 4. A simple form of level may be constructed in the following...
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Algebra

William Raymond Longley, Harry Brooks Marsh - Algebra - 1926 - 608 pages
...and the vertex is V. Angle VCD = angle VDC. In an isosceles triangle the line drawn from the vertex to the middle point of the base is perpendicular to the base and divides the angle at the vertex into two equal parts. In the figure the middle point of the base is...
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Plane Trigonometry

Nels Johann Lennes, Archibald Shepard Merrill - Logarithms - 1928 - 300 pages
...triangle is equal to the sum of the squares of the sides. (7) The line from the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base. In proving the addition (and subtraction) theorems in trigonometry (see page 64), usa is made of the...
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Geometry in Ancient and Medieval India

T. A. Sarasvati Amma - Geometry - 1999 - 304 pages
...property of the isosceles triangle known and used by the Sulbasutras is that the line joining its vertex to the middle point of the base is perpendicular to the base. The early Jainas had no use for the triangle. Most of the ancient works do not mention the triangle...
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