 | Euclides - 1860 - 288 sider
...and triangles, having equal bases, are to one another as their altitudes. PROPOSITION II. THEOBEM. If a straight line be drawn parallel to one of the...sides of a triangle, it shall cut the other sides, or the other sides produced ^proportionally ; and if the sides, or the sides produced, be cut proportionally,... | |
 | War office - 1861 - 260 sider
...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...the other sides or those produced proportionally. How must a line be drawn parallel to the base of a triangle, so as to be equal to half the base. 10.... | |
 | War office - 1861 - 714 sider
...angle. VOLUNTARY PORTION. 1. Inscribe an equiangular and equilateral pentagon in a given circle. 2. 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 if the sides or the sides produced be cut proportionally, the straight... | |
 | Euclides - 1861 - 464 sider
...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 produced, be cut proportionally,... | |
 | Woolwich roy. military acad - 1861 - 572 sider
...circle be respectively parallel to their opposite sides, the remaining sides are parallel to each other. straight line which joins the points of section shall...be parallel to the remaining side of the triangle. If two triangles be on equal bases and between the same parallels, shew that the sides of the triangles... | |
 | Euclides - 1864 - 448 sider
...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 sides produced, be cut proportionally,... | |
 | J. F. H. de Rheims - 1865 - 336 sider
...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 or those produced proportionally, and if the side or the sides produced be cut proportionally, the straight line which joins the points of section... | |
 | 1865 - 276 sider
...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 sides produced, be cut proportionally,... | |
 | Robert Potts - 1865 - 528 sider
...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 sides produced, be cut proportionally,... | |
 | Euclides - 1865 - 402 sider
...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 sides... | |
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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... 
