| Euclid, John Keill - Geometry - 1723 - 442 pages
...are to each other a* -their Bafes; which was to be demonftrated. PROPOSITION II. THEOREM. If it Right **Line be drawn parallel to one of the Sides of a "Triangle, it** frail cut the Sides of the Triangle * proportionally ; and if the Sides of the Triangle be cut proportionally,... | |
| John Keill - Geometry - 1772 - 399 pages
...fameBafe, J are between the fame Parallels; therefoie DE is parallel to B C. Wherefore, if c Right Lint **be drawn parallel to one of the Sides of a Triangle, it** jhall cut the Si Jo of the Triangle proportionally ; and if the Sines cf the Triangle be cut proportionally,... | |
| John Bonnycastle - Trigonometry - 1806 - 419 pages
...semicircle, or that which stands upon half the circumference, is a right angle, or 90°. 8. If a right **line be drawn parallel to one of the sides of a triangle, it will cut the other sides** proportionally. It may also be remarked, that some of the simplest cases of heights and distances may... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...another: then, if the same construction be made as in the proposition, the demonstration will be the same. **PROP. II. THEOR. IF a straight line be drawn parallel to one of the** See N. sides of a triangle, it shall cut the other sides, or those produced, proportionally: and if... | |
| John Mason Good - 1813
...I. Tin or. Triangles and parallelograms of the same altitude are one to another as their, basesProp. **II. Theor. If a straight line be drawn parallel to one of the sides of a triangle, it** shall cat the other sides, or those produced, proportionally: and if the sides, or the sides produced,... | |
| John Playfair - 1819 - 317 pages
...another. Then, i aame construction be made as in the proposition, the demonstratiofi will be the same. **PROP. II. THEOR. If a straight line be drawn parallel to one of the sides of a triangle, it will** tut the otlter sides, or the other sides produced, proportionally : And if the sides, or the sides... | |
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...drawn through P parallel to AB or DC, it may be shewn that APE, DPC together are half of ABCD. (8.) **If a straight line be drawn parallel to one of the sides of a** parallelogram, and one extremity of this line be joined to the opposite one of the parallel side, by... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...parallelogram to the extremities of two opposite sides, are together half of the parallelogram. 8. **If a straight line be drawn parallel to one of the sides of a** parallelogram, and one extremity of this line be joined to the opposite one of the parallel side, by... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...construction be made as in the proposition, the demonstration will be the same. PROP. II. THEOR. x **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,... | |
| Euclid - 1826 - 180 pages
...lines be proportional, their squares shall also be proportional. PROPOSITION II. THEOREM. If a, right **line be drawn parallel to one of the sides of a triangle, it** shall cut the sides of the triangle proportionally ; and if the sides of a triangle be cut proportionally,... | |
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