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" The bisector of the vertex angle of an isosceles triangle is perpendicular to the base. "
Modern Junior Mathematics - Page 224
by Marie Gugle - 1920
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School Science and Mathematics, Volume 21

Education - 1921 - 970 pages
...translates into English: (1) The bisector of the vertex angle of an isosceles triangle bisects the base. (2) The ' bisector of the vertex angle of an isosceles triangle is perpendicular to the base. (3) The base angles of an isosceles triangle are equal. Here all the discoveries are worth remembering...
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The Elements of Geometry

Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...Definitions and Axioms, therefore, must be carefully studied and thoroughly understood. For example, to prove that the Bisector of the Vertex Angle of an Isosceles Triangle is identical with the Altitude (Group IV, 1 6), we must know the definitions of the following words :...
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First-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Mathematics - 1909 - 402 pages
...with the corresponding point of the other. 2. Draw the axis of symmetry of an isosceles triangle. 3. Show that the bisector of the vertex angle of an isosceles triangle is the axis of symmetry. Show how some of the properties of an isosceles triangle stated in § 293 follow...
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Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...a right angle we usually demonstrate that it is equal to its supplementary adjacent angle. Ex. 169. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base. Ex. 170. The median to the base of an isosceles triangle is perpendicular to the base. Ex. 171. If...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...a right angle we usually demonstrate that it is equal to its supplementary adjacent angle. Ex. 169. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base. Ex. 170. The median to the base of an isosceles triangle is perpendicular to the base. Ex. 171. If...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...a right angle we usually demonstrate that it is equal to its supplementary adjacent angle. Ex. 169. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base. Ex. 170. The median to the base of an isosceles triangle is perpendicular to the base. Ex. 171. If...
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Plane Geometry: Experiment, Classification, Discovery, Application ...

Clarence Addison Willis - Geometry, Modern - 1922 - 320 pages
...Postulate 16; and therefore two homologous sides of these triangles are equal. 123. Theorem VI. — The bisector of the vertex angle of an isosceles triangle is perpendicular to the base (104). Helps. — Use the method of 121 and 122. Certain angles of the two triangles are therefore...
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Plane Geometry: Experiment, Classification, Discovery, Application ...

Clarence Addison Willis - Geometry, Modern - 1922 - 318 pages
...Postulate 16; and therefore two homologous sides of these triangles are equal. 123. Theorem VI.—The bisector of the vertex angle of an isosceles triangle is perpendicular to the base (104). Helps.—Use the method of 121 and 122. Certain angles of the two triangles are therefore equal....
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...a right angle we usually demonstrate that it is equal to its supplementary adjacent angle. Ex. 169. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base. Ex. 170. The median to the base of an isosceles triangle is perpendicular to the base. Ex. 171. If...
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A Geometry Reader

Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
..."construction" of lines not given. On this account, we shall meet the isosceles triangle again. 21. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base, and bisects the base. 22. A straight line, perpendicular to a radius at its outer extremity, is tangent...
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