| Euclides, James Hamblin Smith - Euclid's Elements - 1879 - 349 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
...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
...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 - 400 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 - 266 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 - 400 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
...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
...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 - 180 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... | |
| E. J. Brooksmith - Mathematics - 1889
...equiangular pentagon include between them a pentagon which is itself equilateral and equiangular. 9. **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 two sides, or these produced, be cut proportionally,... | |
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