| Bengal council of educ - 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... | |
| Charles Astor Bristed - 1852
...a right angle : and the angle in a segment less than a semicircle is greater than a right angle. 6. **If a straight line be drawn parallel to one of the sides of a triangle, it** will cut the other sides, or these produced, proportionally ; and if the sides, or these produced,... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION II. TIIEOR. **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 if the sides, or the sides produced, be cut proportionally, the... | |
| Euclides - Geometry - 1853 - 147 pages
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION II. — THEOREM. **If a straight line be drawn parallel to one of the sides of a triangle, it** shaU cut tlie other sides, or these produced, proportionally ; and if the sides, or the sides produced,... | |
| William Somerville Orr - Science - 1854
...(DE) be drawn parallel to one of the sides (BC) of a triangle, it shall cut the other sides, or these **produced, proportionally ; and if the sides, or the...produced, be cut proportionally, the straight line which** ioins the noints of section shall be parallel to the remaining side of the triangle. For draw BE, CD.... | |
| John Playfair - Geometry - 1855 - 318 pages
...that have equal altitudes, are to one another as their bases. PROP. II. THEOR. 0 I] a straight lme **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 fides, or the sides... | |
| Cambridge univ, exam. papers - 1856
...a given circle into segments, one of which shall contain an angle double of that in the other. 12. **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. MECHANICS AND HYDROSTATICS. FRIDAY, January 16, 1857. 9 to 12. FIRST... | |
| War office - 1858 - 12 pages
...the circle whose centre is the vertex of the isosceles triangle and radius one of its equal sides, 2. **If a straight line be drawn parallel to one of the...the other sides, or those produced, proportionally.** 3. Equiangular parallelograms are to each other in the ratio compounded of the ratio of their sides.... | |
| Euclides - 1859
...ÎiTI ràç ro/iàç Iiriííuyfíívi/ íuoíía irapà rrjv \onri}v tarai rov Tfiyiâvov ir\tvpáv. **If a straight line be drawn parallel to one of the sides of a triangle, it** cuts t fie other two sides proportionally ; and if the two sides be cut proportionally, the straight... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION 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,... | |
| |