 | Āryabhaṭa - 1878 - 100 pages
...ABC to ACD and CD to DL as ACD to ADL • But BC to DL as ABC to ADL. TROP. xvii. THEOREM. (E. 6. 2). If- a straight line be drawn parallel to one of the sides of a triangle, it cuts the other two sides, or these sides produced proportionally, so that the segments between the... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...Corollary 2.—Triangles of equal altitude are proportional to their bases. Proposition 2. Theorem.—If a straight line be drawn parallel to one of the sides of a triangle, it will cut the other sides, or those sides produced proportionally; and if the sides of a triangle, or the sides produced, be ad proportionally,... | |
 | University of Oxford - Greek language - 1879 - 412 pages
...Describe an isosceles triangle, having each of the angles at the base double of the third angle. 6. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally; and if the sides, or the sides... | |
 | Euclides - 1879 - 146 pages
...the triangle will bisect that angle. 8. Find a point in the diagonal of a square produced, from which if a straight line be drawn parallel to one of the sides, and meeting another side produced, it will form with the produced diagonal and produced side a triangle... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...square, prove 3AD3 = 2AB2. 5. Inscribe a circle in a given equilateral and equiangular pentagon. 6. 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. Construct a triangle similar to a given... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION 2. THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally; and if the sides, or the sides... | |
 | Isaac Sharpless - Geometry - 1882 - 292 pages
...of equal altitude are proportional to their bases. GEOMETRY— BOOK V. Proposition 2. Theorem. — If a straight line be drawn parallel to one of the...sides of a triangle, it will cut the other sides, or those sides produced proportionally ; and if the sides of a triangle, or the sides produced, be cut... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION 2. THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally; and if the sides, or the sides... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...given circle. Shew that any equilateral figure inscribed in a circle must also be equiangular. 10. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally. Shew that two straight lines drawn... | |
 | Science - 1884 - 536 pages
...В Q are drawn ; PQ meets the circumferences again at P and S show that AR is parallel to B S. 79. If a straight line be drawn parallel to one of the sides of an equilateral triangle, it will form with the other sides, produced ii necessary, another equilateral... | |
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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... 
