 | Euclides - 1865 - 80 pages
...the side AC is equal to DF. PROPOSITION XXXIII. PROB. Through a given point to draw a straight line 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 through the point A, parallel... | |
 | John Playfair - Geometry - 1855 - 350 pages
...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 - 426 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...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 through the point A parallel... | |
 | Isaac Todhunter - Mechanics - 1867 - 368 pages
...Art. 29, the rest on Art. 30. Required the straight line of quickest descent: (1) From a given point to a given straight line. Let A be the given point, BC the given straight line, All a horizontal straight line through A. Draw a circle touching AB at A and also touching BC; let... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | James Maurice Wilson - 1869 - 260 pages
...the construction u tho same as before. COR. 3. Hence through any point a straight line can be drawn parallel to a given straight line. Let A be the given point, JSCthe given line. Draw any line AD to meet BC, and make the angle DAE equal to the alternate angle... | |
 | Euclides - 1871 - 136 pages
...other straight lines, each to each, the first pair make the same angles with one another as the second. To draw a straight line through a given point parallel . to a given straight line. Let A be the given pt. and BC the given st. line. It is required to draw through A a st. line II to. BC. In BC take any... | |
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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 through the point A, parallel to the straight hue BC. 
