| Euclides - 1846
...THEOB. If a straight line be parallel to the base of a triangle, it shall cut the sides, or the sides **produced, proportionally : and if the sides, or the...joins the points of section shall be parallel to the** base. Let DE be parallel to BC, the base of the triangle ABC : BD shall be to DA as CE to EA. Join... | |
| Great Britain. Admiralty - 1846
...^± ABC : I £Z7 m ABCE : i — 7 Prop. 70. : : ( ACDF. Therefore triangles, &c. PROP. LXXII. THEOR. **If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides** proportionally: and if the sides be cut proportionally, the straight line which joins the points of... | |
| Great Britain. Admiralty - 1846
...CD:: ^\ ABC : I d7 m ABCE : /—7 Prop. TO. :: ( ACDF. Therefore triangles, &c. PROP. LXXII. THEOR. **If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides** proportionally: and if the sides be cut proportionally, the straight line which joins the points of... | |
| John Playfair - 1846 - 317 sider
...and parallelograms that have equal altitudes, are to one another as their bases. 123 PROP. II. THEOR. **If a straight line be drawn parallel to one of the sides of a triangle, it** will cut the other sides, or the other sides produced, proportionally : And if the sides, or the sides... | |
| Dennis M'Curdy - 1846 - 138 sider
...straight line be drawn parallel to one side of a triangle, it shall cut the other sides, or those sides **produced proportionally : and if the sides, or the...produced, be cut proportionally, the straight line** joining the sectional points, shall be parallel to the third side of the triangle. Given the triangle... | |
| Euclides - 1848
...and parallelograms that have equal altitudes, are one to another as their bases. PROP. II. THEOREM* **If a straight line be drawn parallel to one of the...sides of a triangle, it shall cut the other sides, or** these produced, proportionally: and conversely, if the sides, or the sides produced, be cut proportionally,... | |
| John Playfair - 1849 - 317 sider
...will cut the other sides, or the other sides produced, proportionally : And if the sides, or the fides **produced, be cut proportionally, the straight line which joins the points of section** will be parallel to the remaining side of the triangle. Let DE be drawn parallel to BC, one of the... | |
| Great Britain. Committee on Education - 1850
...contained by the segments of the other. Section 3. 1. To describe a circle about a given triangle. 2. **If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other** two sides of the triangle proportionally ; and conversely if two sides of a triangle be cut proportionally,... | |
| Janet Taylor - 1851 - 621 sider
...proportional, viz : [Eu. vi. 4.] CA : AD : : CD : DE AC : CB : : DC : CB CB : BA : : CE : ED Hence **if a straight line be drawn parallel to one of the sides of a** plane triangle, it will cut the other two sides proportionally, [Eu. vi. 2.] or Theorem D, page 26.... | |
| 1852
...quadrilateral figure which can be inscribed in a circle are together equal to two right angles. 4. **If a straight line be drawn parallel to one of the...proportionally, the straight line which joins the** point of section shall be parallel to the remaining sides of the triangle. Hence shew how a line may... | |
| |