 | Education - 1852 - 478 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 sides of a triangle, it shall cut the other sides or those produced proportionally, and if the sides or the sides 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,... | |
 | 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,... | |
 | 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,...the other sides produced, proportionally: And if the fides, or the sides produced, be cut proportionally, the straight line which joms the points of section... | |
 | 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... | |
 | 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 sides of a triangle, it shall cut the other sides, or those produced, proportionally. 3. Equiangular parallelograms are to... | |
 | 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... | |
 | Euclides - 1860 - 288 pages
...and triangles, having equal bases, are to one another as their altitudes. PROPOSITION II. THEOBEM. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or the other sides produced ^proportionally ; and if the sides, or the sides... | |
 | 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... | |
 | John Playfair - Geometry - 1860 - 334 pages
...anil parallelograms that have equal altitudes, are to one another as their bases. PROP. II. THEOR. lj a straight line be drawn parallel to one of the sides of a triangle, it mil cut the other sides, or the other sides produced, proportionally: And if the sides, or the sides... | |
| |
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... 
