 | Robert Potts - 1865 - 528 pages
...points of all straight lines which have one extremity in a given point and the other in a given straight line. Let A be the given point, and BC the given line, and let any line AD be drawn from A to meet the line BC in any point D, and be bisected in P. It is... | |
 | Auguste Frédéric Lendy - 1869 - 284 pages
...to Trace a Perpendicular to a given Line — To produce a Direction beyond an Obstacle — Through a given Point to draw a Line parallel to a given Line — To find the distance between two Points, one of which is inaccessible — Ditto, both Points are... | |
 | Charles Davies - Geometry - 1870 - 392 pages
...equal to the angle К (Bk. I. Th. viii). PROBLEM IX. Through a given point to draw a line that shall be parallel to a given line. Let A be the given point and В С the given line. With A as a centre, and any radius greater than the shortest distance from A... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...(10). PROPOSITION XXX.— PROBLEM. 75. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From any point B in BC draw the straight D line BAD through A. At the point A, by ,{ the preceding... | |
 | Benjamin Hallowell - Geometry - 1872 - 286 pages
...BAE, then proceed to find AB, BE, and BC, as above; when AC = \/AB2 + BCZ. PROBLEM XIY. — Through a given point to draw a line parallel to a given line. F *\ / _.. f the point P, and \ / Given •{ . *:. A n B ( the line AB. E Analysis. — Suppose IPL... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...their intersection C. Hence FH coincides with and is equal to EC. QED EXERCISES. 1. Prob. — Through a given point to draw a line parallel to a given line, by the principle contained in PROP. I. of this section. Sue's. — Draw a straight line on the blackboard.... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...(10). \ PROPOSITION XXX.— PROBLEM. 75. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From any point B in UCdraw the straight -f line BAD through A. At the point A, by / the preceding problem,... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...student will be required to do the work on the blackboard, gveaging at nothing.] 3. Prob. — Through a given point to draw a line parallel to a given line, upon the principle that the alternate angles made by a secant line are equal ( 132). 4. A bevel is... | |
 | Robert Griffith Hatfield - Architecture - 1874 - 452 pages
...therefore, is equal to § of a quadrant ; and this is equal to a right angle. rig. :i';79. — Through a given point, to draw a line parallel to a given line. Let a, (Fig. 36,) be the given point, and bc the given line. Upon any point, as d, in the line, 6 c, with... | |
 | Woolwich roy. military acad - 1877 - 390 pages
...and describe a semicircle on it, cutting AB in E. PE will be the perpendicular required. 10. Through a given point to draw a line parallel to a given line. Let AB (Fig. 6) be the given line and P the given point. From P draw PO perpendicular to AB. Take any point... | |
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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. 
