 To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR.  The Element of Geometry - Page 13by John Playfair - 1836 - 114 pagesFull view - About this book
 | Robert Potts - 1865 - 528 pages
...the middle 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.... | |
 | John Playfair - Geometry - 1855 - 350 pages
...; and they are alternate angles ; therefore AB is parallel £J ~"\ B (27. 1.) to CD. \ PROP. XXXI. PROB. To draw a straight line through a given point parallel to a gtven straight line. Let A be the given point, and BC the given straight line, h is required lo draw... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...therefore AB is parallel to CD. [I. 27. Wherefore, straight lines &c. QED PROPOSITION 31. PROBLEM. To draw a straight line through a given point parallel...parallel to the straight line BC. In BC take any point E ... D, and join AD ; at the point A in the straight line AD, make the angle DAE equal to the angle... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...given straight line AB. QKF PROPOSITION 2. PROBLEM. From a given point to draw a straight line equal to a given straight line. Let A be the given point,...BC the given straight line : it is required to draw from the point A a straight line equal to BC. From the point A to B draw the straight line AB ; [Post.... | |
 | Schools inquiry commission - Education - 1868 - 742 pages
...Is the following a correct solution of the problem, from a given point to draw a straight line equal to a given straight line : Let A be the given point and BC the given straight line ; join AB, and on AB describe the equilateral triangle ADB. Produce DA to E; and with centre D at the... | |
 | 1868 - 344 pages
...other sides, aud show that the perimeter of the parallelogram so formed is a constant quantity. 3. Draw a straight line through a given point parallel to a given straight line. SECTION IV. 1. The opposite sides and angles of a parallelogram are equal, and the diagonal bisects... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...then will CD bisect ACS (B. IV. Th. II.). PROBLEM VI. Through a given point to draw a straight line parallel to a given straight line. Let A be the given point and CD the given line. From. A as a centre, with a radius greater than the shortest distance from A to... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...parts, into eight, into sixteen, &c. PROBLEM VII. 302. Through a given point, to draw a straight line parallel to a given straight line. Let A be the given point, and A '-..^ B CD the given straight line. '""--... From A draw a straight line, '"-•-...: AE, to any... | |
 | Robert Potts - 1868 - 434 pages
...was required to be done. PROPOSITION II. PROBLEM. From a given point, to draw a straight line equal to a given straight line. Let A be the given point, and BCthe given straight line. It is required to draw from the point A, a straight line equal to BC. From... | |
 | Isaac Todhunter - Measurement - 1869 - 312 pages
...DF and EF. Then DEF will be the triangle required. 44. Through a given print to draw a straight line parallel to a given straight line. Let A be the given point, and B (/the given straight line. Take any point D in BC. From the centre D, with the radius DA describe... | |
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