 | William Chauvenet - Geometry - 1887 - 346 pages
...the included angle EGF. Hence the triangles are equal, by Proposition VI. EXERCISE. Theorem. — A line drawn from the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base, and bisects the vertical angle. cf PROPOSITION X.—... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...following: I. i. Any side of a triangle is greater than the difference between the two other sides. 2. A straight line drawn from the vertex of an isosceles triangle to the base produced, is longer than either of the equal sides. 3. If the angles at the base of any triangle... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...Propositions are usually stated. For example, almost all editions of Euclid contain this Eider : — " The straight line drawn from the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base." Boys who have learnt Euclid for years will refuse... | |
 | Euclid - Geometry - 1892 - 460 pages
...129. QED The case in which AQ falls outside the triangle presents no difficulty. 9. The square on any straight line drawn from the vertex of an isosceles triangle to the base is less than the square on one of the equal sides by the rectangle contained by the segments of... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...equiangular, and the Sph. /_ at the base are equal, Q. E E. 273. COR. 9. The arc of a great circle drawn from the vertex of an isosceles triangle to the middle of the base, bisects the rertical angle, is perpendicular to the base, and divides the triangle into two symmetrical... | |
 | Seth Thayer Stewart - Geometry - 1893 - 262 pages
...I. i. Any side of a triangle is greater than the difference between the two other sides. (P. xi.) 2. A straight line drawn from the vertex of an isosceles triangle to the base produced, is longer than either of the equal sides. I. Draw a line from the vertex to the middle... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...opposite vertex : prove that each part of the base is less than the adjacent side of the triangle. 3. A straight line drawn from the vertex of an isosceles triangle to any point in the base produced is greater than either of the equal sides. 4. If D be any point in the... | |
 | George Clinton Shutts - Geometry - 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... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...middle point of the base is perpendicular to the base, the triangle is isosceles. Ex. 24. Prove that a line drawn from the vertex of an isosceles triangle to the middle point of the base, (1) bisects the triangle, (2) bisects the vertical angle, (3) is perpendicular to... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...opposite vertex : prove that each part of the base is less than the adjacent side of the triangle. 3. A straight line drawn from the vertex of an isosceles triangle to any point in the base produced is greater than either of the equal sides. 4. If D be any point in the... | |
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Hence a straight line drawn from the vertex of an isosceles triangle, to the middle of the base, is perpendicular to that base, and divides the vertical angle into two equal parts. 
