 | Euclid - Geometry - 1892 - 460 pages
...whether X and Y divide AB, CD internally as in Fig. 1 or externally as in Fig. 2. PBOPOSITION 2. THEOREM. If a straight line be drawn parallel to one side of...other sides, or those sides produced, proportionally : Conversely, if the sides or the sides produced be cut proportionally, the straight line which joins... | |
 | 1894 - 788 pages
...a given angle. Construct a triangle, having given the base, the vertical angle, and the altitude. ' If a straight line be drawn parallel to one side of...sides, or those sides produced, proportionally; and conversely, if the sides or the sides produced be cut proportionally, the straight line which joins... | |
 | 1895 - 800 pages
...of a regular pentagon is trisected by the straight lines which join it to the opposite vertices. 3. If a straight line be drawn parallel to one side of...other sides, or those sides produced, proportionally. If any two straight lines are cut by three parallel straight lines they are cut proportionally. 4.... | |
 | 1896 - 774 pages
...regular pentagon, and AC, BE intersect in F; shew that EF is equal to AB. 3. If a straight line is parallel to one side of a triangle, it shall cut the...sides, or those sides produced proportionally, and conversely, if the sides or sides produced be cut proportionally the straight line which joins the... | |
 | 1898 - 870 pages
...circle. 2. Circumscribe a circle about a given square. All cyclic parallelograms are rectangular. 8. If a straight line be drawn parallel to one side of a triangle it cuts the other sides, or those sides produced proportionally. If any two straight lines are cut by... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...DB, meeting in F, and draw FM perpendicular to AB. Then EM is equal to the radius of the circle. 9. If a straight line be drawn parallel to one side of a triangle, it shall cut the other sides, or these sides produced, proportionally and conversely, if the sides or the sides produced be cut proportionally,... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...in the other direction. Simson gives the three figures and inserts words in the enunciation, reading "it shall cut the other sides, or those sides produced,...sides, or the sides produced, be cut proportionally." Todhunter observes that the second part of the enunciation ought to make it clear which segments in... | |
 | Great Britain. Scottish Education Dept - 1896 - 642 pages
...same circle is equal to the rectangle contained by the radius and the side of the inscribed square. 6. If a straight line be drawn parallel to one side of a triangle, it shall cut the other sides, or these sides produced, proportionally. ABC is a triangle, D is a point in AC such that AD:DC=. 4:3,... | |
 | Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...aequali. Define reciprocal figures. *i '. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those...produced, be cut proportionally, the straight line which joins the points of section, shall be parallel to the remaining side of the triangle'. 8. Describe... | |
 | Euclid - 452 pages
...in the other direction. Simson gives the three figures and inserts words in the enunciation, reading "it shall cut the other sides, or those sides produced,...sides, or the sides produced, be cut proportionally." Todhunter observes that the second part of the enunciation ought to make it clear which segments in... | |
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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 sides produced, proportionally... 
