 | Alfred Wrigley - 1862 - 330 páginas
...show that all its roots are real. GEOMETRY. MISCELLANEOUS THEOREMS AND PROBLEMS. 1. The straight line which bisects the vertical angle of an isosceles triangle, bisects the base, and is perpendicular to it. 2. The straight line, which joins the vertex of an isosceles triangle and... | |
 | C. Davies - 1867 - 342 páginas
...two triangles are equal (Th- iv); and hence, the angle A is equal to the angle BCor 1 Hence, the line which bisects the vertical angle of an isosceles triangle, bisects the base- It is also perpendicular to the base, since the angle CD A is equal to the angle CDBOf TrianglesTHEOREM... | |
 | Gerardus Beekman Docharty - 1867 - 474 páginas
...respects (th. 1) ; and, consequently, th% angle C equal to the angle BQ £. D. Corol. 1. Hence the line which bisects the vertical angle of an isosceles triangle bisects the base, and is also perpen^licular to it. Corol. 2. Hence, too, it appears that every equilateral triangle... | |
 | William Chauvenet - 1871 - 380 páginas
...triangle is perpendicular to the base and bisects the vertical angle. Hence, also, the straight line which bisects the vertical angle of an isosceles triangle bisects the base at right angles. 88. Corollary II. Every equilateral triangle is also equiangular ; and by (68), each... | |
 | William Chauvenet - 1872 - 382 páginas
...triangle is perpendicular to the base and bisects the vertical angle. Hence, also, the straight line which bisects the vertical angle of an isosceles triangle bisects the base at right angles. 88. Corollary II. Every equilateral triangle is also equiangular; and by (68), each... | |
 | Franklin Ibach - 1882 - 208 páginas
...triangle bisects the vertical angle and is perpendicular to the base. 96. COR. 2. — The straight line which bisects the vertical angle of an isosceles triangle bisects the base at right angles. ELEMENTS OF PLANE GEOMETRY. THEOREM XXXII. 98. CONVERSELY. — If two angles of a... | |
 | Euclides - 1883 - 176 páginas
...prove that the angles below the base formed by producing the equal aides are also equal. 5. The line which bisects the vertical angle of an isosceles triangle bisects the base, and is at right angles to the base. 6. Every equilateral triangle is also equiangular. 7. If two isosceles... | |
 | Mathematical association - 1884 - 146 páginas
...EF, the angle ACB to the angle DFE, and the angle ABC to the angle DEF. QED Ex. 4. The straight line which bisects the vertical angle of an isosceles triangle bisects the base. Ex. 5. Any point on the bisector of the vertical angle of an isosceles triangle is equidistant from... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 páginas
...EF, the angle ACB to the angle DFE, and the angle ABC to the angle DEF. QED Ex. 4. The straight line which bisects the vertical angle of an isosceles triangle bisects the base. Ex. 5. Any point on the bisector of the vertical angle of an isosceles triangle is equidistant from... | |
 | James Andrew Blaikie, William Thomson - 1891 - 160 páginas
...BAP=^ CAP; ... A BAPsACAP; ... BP = CP. [Hypothesis. [Hypothesis. [Euc. I. 4. 2. The straight line which bisects the vertical angle of an isosceles triangle bisects the base, and is at right angles to the base. A Show, as in above proof, that ABAD= A CAD, and hence (1) BD =... | |
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Cor. 1. Hence, the line which bisects the vertical angle of an isosceles triangle, bisects the base. 
