 | Elias Loomis - Conic sections - 1858 - 256 pages
...into four equal parts, intc eight, sixteen, &c. PROBLEM VI. Through a given point, to draw a straight line parallel to a given line. Let A be the given point, and BC the B Be given straight line ; it is required to draw 7through the point A, a straight line paral- /'"'... | |
 | Massachusetts - Massachusetts - 1893 - 894 pages
...20.* When a line crosses two parallel lines, compare the alternate angles. They are equal. 21. Through a given point to draw a line parallel to a given line. 22.* Oblique lines, extending from a point in one of two perpendicular lines to points equally distant... | |
 | Euclides - 1858 - 248 pages
...to one another. CONSTRUCTION. — Pst. 2. A st. line may be produced in a st. line. P. 31. Through a given point to draw a line parallel to a given line. Def. A. A parallelogram is a four-sided figure of which the opposite sides are parallel, and the diagonal... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...center, and FGr as a radius, equal to ED, describe an arc, cutting the other arc in G, and draw AG ; GAF will be the angle required. Proof, (Th. 2, B. HI)....point, and BC the given line. Draw AC, making an angle, A CB ; and from the given point, A, in the line AC, draw the angle CAD = ACB, by Problem 5. Since AD... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...To describe a given angle m, on a given straight line ab, at a given point a (fig. 27). 3. Through a given point, to draw a line parallel to a given line. 4. To bisect a given angle (pi. 2, fig. 77). 5. To bisect a given line (fig. 75). 6. To draw a perpendicular... | |
 | Elias Loomis - Conic sections - 1861 - 244 pages
...by the equal arcs AD, DB (Prop. IV., B. III.). PROBLEM vI. Through a given point, to draw a straight line parallel to a given line. Let A be the given point, and BC the ^ , c given straight line ; it is required to draw ~7 through the point A, a straight line parallel... | |
 | Dennis Hart Mahan - 1863 - 268 pages
...given distance, which will be found just to touch the given line. Prob. 11. (PI. II. Fig. 20.) Through a given point to draw a line parallel to a given line. Let A be the given point ; CD the given line. 1st. Place one foot of the dividers at A, and bring the other foot in a position... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...bisected, the original arc or augle will be divided into eight equal parts ; and so on. PEOBLEM VI. Through a given point, to draw a line parallel to a given line. Let A be a given point, and BC a given line. From the point A as a centre, with a radius AE, greater than the... | |
 | William Frothingham Bradbury - Plane trigonometry - 1864 - 324 pages
...degrees marked off and numbered the same as on the rule just described. GEOMETRICAL PROBLEMS. 15. Through a given point, to draw a line parallel to a given line. Let D be the given point, and AB c D the given line. With the dividers • ••• measure the shortest... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...center, and FGr as a radius, equal to ED, describe an arc, cutting the other arc in G, and draw AG; GAF will be the angle required. Proof, (Th. 2, B. HI)....given point, A, in the line AC, draw the angle CAD = ACB, by Problem 5. Since AD and BC make the same angle with AC, they are, therefore, parallel, (B.... | |
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From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line. 
