 I) is a parallelogram, E and F the middle points of AD and BC respectively ; show that BE and DF will trisect the diagonal A C.  Elements of Geometry - Page 70by George Albert Wentworth - 1879 - 250 pagesFull view - About this book
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...equal angles are reciprocally proportional, and .'* (Eucl. vi. 15.) the triangles ADE, FCD are equal. (11.) . If from any point in the base of an isosceles triangle perpendiculars be drawn to the sides ; these together shall be equal to a perpendicular drawn from... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...base, and the lines joining the intersections of the sides and the angles opposite, will be equal. 11. If from any point in the base of an isosceles triangle perpendiculars be drawn to the sides ; these together shall be equal to a perpendicular drawn from... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...these points be joined in order, two and two, the figure formed will be a square. 6. If from a variable point in the base of an isosceles triangle parallels to the equal sides be drawn, a parallelogram is formed, whose perimeter is equal to the sum of the equal sides of the triangle.... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...and that the portion of it intercepted between the two sides is equal to one half the base. 10. ABC D is a. parallelogram, E and F the middle points of...diagonal A C. 11. If from any point in the base of aii isosceles triangle parallels to the equal sides be drawn, show that a parallelogram is formed whose... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...to one half the base. Ч ! , i 10. ABC Dis a parallelogram, E and F the middle points of AD and B С respectively ; show that BE and DF will trisect the diagonal A C. ¿ 'f '- y J "S7* 11. If from any point in the base of an isosceles triangle parallels to the equal... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...that the portion of it intercepted between the two sides is equal to one half the base. 10. ABС D is a parallelogram, E and F the middle points of AD and B С respectively ; show that BE and DP will trisect the diagonal A С. 11. If from any point in the... | |
 | George Albert Wentworth - 1879 - 196 pages
...ZC^T? = Z. A (ext..int. A). .'.A ^Z>^ = A EFC (§ 107). .'. AE = .EC, and .'. DE bisects Ex. 10. ABCD is a parallelogram, E and F the middle points of AD and BC respectively; show that BE and DF\rill trisect the diagonal A C. Let BE and DF intersect the diagonal AC at the points H and K. The... | |
 | George Albert Wentworth - Geometry - 1882 - 442 pages
...and that the portion of it intercepted between the two sides is equal to one half the base. 10. A BCD is a parallelogram, E and F the middle points of AD...trisect the diagonal A C. 11. If from any point in the hase of an isosceles triangle parallels to the equal sides be drawn, show that a parallelogram is formed... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...right-angled triangle is double the other, the hypothenuse is double the shortest side. 7. If through any point in the base of an isosceles triangle parallels to the equal sides are drawn, a parallelogram is formed whose perimeter equals the sum of the equal sides of the triangle.... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...of the circle. Apply Ex. 11, and prove BH + AN = AB. CN and CH are each equal to radius (?). M 35. If from any point in the base of an isosceles triangle parallels to the sides are drawn, a parallelogram is formed whose perimeter is equal to the sum of the equal sides of... | |
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