 | Charles Davies - 1850 - عدد الصفحات: 238
...the number in the two small squares. 94 Of Triangle Sides cut Pr opor t ion a 1 1 y . THEOBEM XIII. If a line be drawn parallel to the base of a triangle, it will divide the other two sides proportionally. Let ABC be any triangle, and DE a straight line... | |
 | Euclides - 1860 - عدد الصفحات: 288
...lines be drawn bisecting the opposite sides, they will divide each otherin the ratio- of 2 to 1. 17. If a line be drawn parallel to the base of a triangle to meet the sides, and the alternate extremities of this line and of the base be joined, the line drawn... | |
 | Isaac Sharpless - 1879 - عدد الصفحات: 282
...the triangle (V. 1, Cor. 2). 2. Two squares are to each other as the squares of their diagonals. 3. If a line be drawn parallel to the base of a triangle, all lines from the vertex to the base will be cut proportionally; and the segments of the base and... | |
 | University of Madras - 1879 - عدد الصفحات: 674
...angles opposite to the equal sides equal and the areas equal, they shall be equal in all respects. IX. If a line be drawn parallel to the base of a triangle, it cuts the sides proportionally. P, Q are points in the sides CB, CA of a triangle such that BP is... | |
 | New York (State). Department of Public Instruction - 1887 - عدد الصفحات: 268
...isosceles triangle the angles opposite the equal sides are «qual." 6. Demonstrate the theorem : — " If a line be drawn parallel to the base of a triangle, it will divide the .other two sides proportionally." 7. Demonstrate the theorem : — " An angle at... | |
 | George Irving Hopkins - 1891 - عدد الصفحات: 204
...a series of parallel transversals, the parts thus intercepted by the latter form a proportion. 320. If a line be drawn parallel to the base of a triangle, and another from vertex to base, the parts of both the base and its parallel will form a proportion.... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - 1894 - عدد الصفحات: 522
...170.) Therefore Note. — Compare this demonstration with that of Prop. XIX, Chap. II. 227. COROLLARY. If a line be drawn parallel to the base of a triangle, one side is to either of its segments as the other side is to its corresponding segment. SUG. Take... | |
 | Frank Castle - 1899 - عدد الصفحات: 424
...equal to one another. Prove this by joining points DA, and AC to different points on the circumference. If a line be drawn parallel to the base of a triangle, cutting the side or sides produced, the segments of the sides are proportional. Draw a triangle ABC,... | |
 | De Volson Wood - 1903 - عدد الصفحات: 404
...uniform weight ; and hence, the centre of gravity will be at the middle point of the line. EXAMPLES. 1. If a line be drawn parallel to the base of a triangle, dividing it into equal areas, will it pass through the centre of gravity of the triangle ? 2. If a... | |
 | Webster Wells, Walter Wilson Hart - 1915 - عدد الصفحات: 330
...Ex. 51. In the figure for Ex. 50, if AD intersects CE at 0, prove A AEO is similar to A CDO. Ex. 52. If a line be drawn parallel to the base of a triangle intersecting the other two sides, the triangle formed is similar to the given triangle. 278. Homologous... | |
| |
If a line be drawn parallel to the base of a triangle, it will divide, the. 
