 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...than the sum of the sides of any other triangle on the same base and between the same parallels. 9. If from one of the equal angles of an isosceles triangle, a perpendicular be drawn to the opposite side ; the part of it intercepted by a perpendicular from the vertex will have... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...they are together less than any other two lines AD, DB> drawn from the same points to that line. (9.) If from one of the equal angles of an isosceles triangle a perpendicular be drawn to the opposite side ; the part of it intercepted by a perpendicular from the vertex will have... | |
 | Euclides - 1845 - 546 pages
...than the square of a side of the triangle by the rectangle contained by the segments of the base. 28. If from one of the equal angles of an isosceles triangle a perpendicular be drawn to the opposite side, the rectangle contained by that side and the segment of it intercepted... | |
 | Euclides - 1846 - 292 pages
...contained by these parts together with four times the square of the line between the points of section. 22. If from one of the equal angles of an isosceles triangle a perpendicular b& dropped on the opposite side, the rectangle of that side and the segment of it between the perpendicular... | |
 | Euclides - 1847 - 128 pages
...making DE — CD, and join CE ; then the L ACD = 2 / BCE. E (From Prop. XXXII.) PROP. E. THEOR. — If from one of the equal angles of an isosceles triangle a line, equal to one of the equal sides, be drawn to the opposite side, produced if necessary, the angle... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...a side of the triangle by the rectangle contained by the segments of the base : and conversely. 38. If from one of the equal angles of an isosceles triangle a perpendicular be drawn to the opposite side, the rectangle contained by that side and the segment of it intercepted... | |
 | Euclides - 1860 - 288 pages
...prove that the sum of the squares on the alternate segments of the sides are equal to one another. 14. If from one of the equal angles of an isosceles triangle a perpendicular be drawn to the opposite side, twice the rectangle contained by that side and the segment of it, between... | |
 | Euclides - 1864 - 262 pages
...a side of the triangle by the rectangle contained by the segments of the base : and conversely. 38. If from one of the equal angles of an isosceles triangle a perpendicular be drawn to the opposite side, the rectangle contained by that side and the segment of it intercepted... | |
 | Euclides - 1864 - 448 pages
...a side of the triangle by the rectangle contained by the segments of the base : and conversely. 38. If from one of the equal angles of an isosceles triangle a perpendicular be drawn to the opposite side, the rectangle contained by that side and the segment of it intercepted... | |
 | Robert Potts - 1865 - 528 pages
...side of the triangle, by the rectangle contained by the segments of the base : and conversely. 44. If from one of the equal angles of an isosceles triangle a perpendicular be drawn to the opposite side, the rectangle contained by that side and the segment of it intercepted... | |
| |
If from one of the equal angles of an isosceles triangle a perpendicular be drawn to the opposite side, the rectangle contained by that side and the segment of it intercepted between the perpendicular and base, is equal to the half of the square described... 
