 | Euclides - 1846 - 292 sider
...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 - 128 sider
...^± 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 - 128 sider
...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... | |
 | Euclid, John Playfair - 1846 - 334 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 - 166 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 - 52 sider
...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 - 332 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 - 790 sider
...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 - 674 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 - 478 sider
...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... | |
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IF a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section... 
