 | 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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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... 
