| War office - 1861 - 260 pages
...two straight lines shall be parallel. 8. Draw a tangent to a circle from a given point without it. 9. **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. How must a line be drawn parallel to the... | |
| Euclides - 1861 - 464 pages
...3, I. 2 C. D. 1 H. 2 C. 1,&26,L 3 Ax. 2, I, C. & 1, VI. Ax. 1, I. 4 5 PROP. 2. — THEOR. If a st. **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 the sides, or sides... | |
| Euclides - 1864 - 448 pages
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION n. THEOREM. **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 the sides, or the... | |
| Architecture - 1865 - 276 pages
...triangle having each of the angles at the base double of the third angle. Book VI. 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 these produced proportionally ; and conversely, if the sides, or the... | |
| Euclides - 1865 - 402 pages
...construction be made as in the proposition, the demonstration will be the same. PROP. H.— THEOREM. **If a straight line be drawn parallel to one of the sides of a triangle, it** shall out the other sides, on these produced, proportionally; and conversely, if the sides, or the... | |
| J F H. De Rheims - Geometrical drawing - 1865 - 338 pages
...segment less than a semicircle is greater than a right angle. EUCLID, BOOK VI. Prop. 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 produced proportionally, and if the side or the sides produced be... | |
| Robert Potts - 1865 - 528 pages
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION II. THEOREM. lf **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 the sides, or the... | |
| James Robert Christie - Mathematics - 1866 - 426 pages
...angle in a semicircle is a right angle; but the angle in a segment greater than a semicircle is &c. 4. **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 the sides &c. 5.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 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... | |
| Edinburgh univ - 1868 - 334 pages
...lines drawn from the angles of a triangle to the bisections of the opposite sides meet in a point. 9. **If a straight line be drawn parallel to one of the sides of a triangle, it will cut the other** sideSi or the other sides produced, proportionally ; and if the sides, or the sides produced, be cut... | |
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