| Euclides - 1874
...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** these produced, proportionally ; and conversely, if the sides, or the sides produced, be cut proportionally,... | |
| Robert Potts - 1876 - 403 sider
...square. 12. If a straight line be parallel to the 'base of a triangle it will cut the sides, or the sides **produced, proportionally, and if the sides, or the...joins the points of section shall be parallel to the** base. 13, To find a mean proportional between two given straight lines. JUNIOB AND SENIOB MATBICULATION,... | |
| University of Madras - 1876
...straight lines. III. Explain the terms " homologous sides," " duplicate ratio," and "ex equali." IV. (a) **If a straight line be drawn parallel to one of the sides of a triangle, it shall** Rut the other sides proportionally, (b) ABCD is a parallelogram, a point E is taken in BD the diagonal,... | |
| Euclides, James Hamblin SMITH - 1876 - 349 sider
...into which the parallelogram is then divided, must be equal, two and two. PROPOSITION II. THEOREM. **If a straight line be drawn parallel to one of the sides of a triangle,** il must cut the other side*, or those sides produced, proportionally. Let DE be drawn || to BC, a side... | |
| J. G - 1878 - 372 sider
...648=2-81157501, log. 864=2'93651374, find log. 108. GEOMETRY, TRIGONOMETRY, CONICS. Afternoon Paper, 1. **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,... | |
| Āryabhaṭa - 1878
...ABC to ACD and CD to DL as ACD to ADL • But BC to DL as ABC to ADL. TROP. xvii. THEOREM. (E. 6. 2). **If- a straight line be drawn parallel to one of the sides of a triangle, it** cuts the other two sides, or these sides produced proportionally, so that the segments between the... | |
| University of Oxford - 1879
...Describe an isosceles triangle, having each of the angles at the base double of the third angle. 6. **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... | |
| 1879
...produced, proportionally; PAT-KIT am* ^ tne s'^es> or tne sides produced, be cut proportionately, OFFICE **the straight line which joins the points of section...be parallel to the remaining side of the triangle.** 10. If from the three angles of a triangle lines be drawn to the points of bisection of the opposite... | |
| Great Britain. Parliament. House of Commons - 1879
...proportionally ; r^Tira8' an(^ ^ t'ie s'^es> or the sides produced, be cut proportionately, OFFICE **the straight line which joins the points of section...be parallel to the remaining side of the triangle.** 10. If from the three angles of a triangle lines be drawn to the points of bisection of the opposite... | |
| Isaac Sharpless - 1879 - 266 sider
...Corollary 2.—Triangles of equal altitude are proportional to their bases. 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, or... | |
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