| Henry Martyn Taylor - 1893 - 486 pages
...lines, it must intersect the other. 6—2 PROPOSITION 31. To draw through a given point 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 through A a straight line parallel ioBC. CONSTRUCTION.... | |
| William Chauvenet - 1893 - 340 pages
...consequently also the angles O and A. PROPOSITION XXIV.—PROBLEM. 83. 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 A/ '•• x straight line BAD through A. At... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...lines, it must intersect the other. 6— 2 PROPOSITION 31. To draw through a given point a straight line **parallel to a given straight line. Let A be the given point, and** RC the given straight line: it is required to draw through A a straight line parallel to5C'. CONSTRUCTION.... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...parallel (ie, MN and M'N1 are parallel). 123. Exercise. — Show how to use the parallel ruler for drawing **a straight line through a given point parallel to a given straight line,** and prove the method correct. Extend the method so as to apply even when the point is at a great distance... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...whether the ruler be closed or opened. 123. Exercise.—Show how to use the parallel ruler for drawing **a straight line through a given point parallel to a given straight line,** and prove the method correct. Extend the method so as to apply even when the point is at a great distance... | |
| Seymour Eaton - 1899 - 362 pages
...they are alternate angles; therefore AB is parallel to CD (Proposition 27). PROPOSITION 31. PROBLEM **To draw a straight line through a given point parallel...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... | |
| William Taylor Campbell - Geometry - 1899 - 272 pages
...area as the other two together. What is the length of a fence which will enclose his new land ? 6. **To draw a straight line through a given point parallel to a given straight line.** Using a Ruler and Squaxe. (a) With the aid of a ruler and square. Suppose you wish to draw through... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...is impossible. Therefore AB and CD never meet ; that is, they are parallel. PROPOSITION 31. PROBLEM. **To draw a straight line through a given point parallel...given straight line. Let A be the given point, and BC** the given straight line. It is required to draw through A a straight line parallel to BC. Construction.... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...may be readily deduced from Playfair-s Axiom, of which it is the converse. PROPOSITION 31. PROBLEM. **To draw a straight line through a given point parallel...given straight line. Let A be the given point, and BC** the given straight line. It is required to draw through A a straight line parallel to BC. Construction.... | |
| Euclid - Mathematics, Greek - 1908 - 550 pages
...DEF is supplementary to the angle ABC. PROPOSITION 31. 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 ; thus it is required to draw through the point A a straight line parallel... | |
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