 | Braithwaite Arnett - 1874 - 130 sider
...of the square inscribed in any circle is half that of the square described about the same circle. 6. 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. 7. Equal parallelograms, which have one angle of the one equal to one... | |
 | Euclides - 1874 - 342 sider
...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 - 446 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 - 580 sider
...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 - 382 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 - 408 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 - 100 sider
...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 - 414 sider
...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 - 636 sider
...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 - 632 sider
...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... | |
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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... 
