 | Bengal council of educ - 1852 - 348 pages
...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 - 470 pages
...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 - 400 pages
...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 - 176 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 - 534 pages
...(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 - 334 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 - 252 pages
...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 - 578 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.... | |
 | Euclid - 1859 - 150 pages
...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 - 380 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,... | |
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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... 
