 | 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... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...parallel to either of them, shall cut the other sides, or these produced, proportionally. And Conversely, If the sides, or the sides produced, be cut proportionally, the straight line which joini the points of section must be parallel to the remaining side of the triangle. Let the sides AB,... | |
 | 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...the other sides or those produced proportionally. Construct a triangle similar to a given triangle, such that each of its sides shall be one-fourth of... | |
 | 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...a triangle, it shall cut the other sides, or those sides produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the... | |
 | Isaac Sharpless - Geometry - 1882 - 286 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,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 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...a triangle, it shall cut the other sides, or those sides produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the... | |
 | 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...a triangle, it shall cut the other sides, or those sides produced, proportionally. Shew that two straight lines drawn from two angular points of a triangle... | |
 | 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... | |
 | Richard Anthony Proctor - Geometry - 1887 - 202 pages
...triangle, it will form with the other sides, produced if necessary, another equilateral triangle. 80. If a straight line be drawn parallel to one of the sides of a triangle, it will form with the other sides, produced if necessary, a triangle equiangular to the first. 81. Two... | |
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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... 
