 | Edward Augustus Kendall - 1811 - 458 pages
...exactly coincided with the triangle ABD in all its parts. The corollaries to this theorem are : (1.) That the line which bisects the vertical angle of an isosceles triangle, bisects the base, and is perpendicular to it. (2.) That every equilateral triangle is likewise equiangular,... | |
 | Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 516 pages
...exactly coincided with the triangle ABD in all its parts. The corollaries to this theorem are : (1.) That the line which bisects the vertical angle of an isosceles triangle, bisects the base, and is perpendicular to it. (3.) That every equilateral triangle is likewise equiangular.... | |
 | William E. Bell - Bridge building - 1857 - 250 pages
...at C and the two adjacent tides equal Hence, angle A= B. (Prop. IX., Cor.) Cor. 1. Every equilateral triangle is also equiangular. Cor. 2. The equality...angles of a triangle are equal, the sides opposite them are also equal, and the triangle is isosceles. Let the angle A=B, then will the sides AC and BC... | |
 | Euclides - 1858 - 248 pages
...CA is equal to CB, CD common, and LA CD equal L BCD; therefore by P. 4, / CAD equals L CBD.: 3. Also that the line which bisects the vertical angle of an isosceles triangle, bisects the base perpendicularly ; for AC equalling BC, DC being common, and / ACD by construction... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...the axis XY when its vertices, taken two and two, are placed symmetrically with respect to that axis. The line which bisects the vertical angle of an isosceles triangle is an axis of symmetry with respect to the two parts of the triangle ; the line which bisects an angle... | |
 | Education - 1923 - 718 pages
...SUMMARY. 128. State five methods of proving lines perpendicular. 129. EXERCISES. 1. The bisector of the vertical angle of an isosceles triangle is perpendicular to the base, etc. The general methods of attack are placed at the beginning in heavy type for emphasis, and particular... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...same reason, (2) A = C: combining (1) and (2) we have (3) A = B Ax. 1. .-. (4) A = B = C. Cor. II.— The line which bisects the vertical angle of an isosceles triangle, is perpendicular to t/ie base at its middle point. Cor. III.—The perpendicular from the vertex of an isosceles triangle... | |
 | Mathematical association - 1884 - 146 pages
...angle of an isosceles triangle is equidistant from the extremities of the base. Ex. 6. The straight line which bisects the vertical angle of an isosceles triangle is perpendicular to the base. Ex. 7. Any point D is taken on the bisector of an angle BAC ; prove that, if AB is equal to AC, then... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...angle of an isosceles triangle is equidistant from the extremities of the base. Ex. 6. The straight line which bisects the vertical angle of an isosceles triangle is perpendicular to the base. Ex. 7. Any point D is taken on the bisector of an angle BAC ; prove that, if AB is equal to AC, then... | |
 | Euclides - 1884 - 214 pages
...The bisector of the vertical angle of an isosceles triangle bisects the base. (96) The bisector of the vertical angle of an isosceles triangle is perpendicular to the base. (97) The opposite angles of a rhombus are equal. (98) A diagonal of a rhombus is a bisector of two... | |
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The straight line which bisects the vertical angle of an isosceles triangle is perpendicular to the base. 
