 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.  Observational Geometry - Page 49by William Taylor Campbell - 1899 - 240 pagesFull view - About this book
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...left. SECTION IX. GEOMETRICAL DRAWING. (CONTINUED.) PARALLELS AND PARALLELOGRAMS. Proposition 31. 147. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, BC the given straight line ; it is required to draw through A a straight... | |
 | 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... | |
 | 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... | |
 | 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 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... | |
 | Euclid, 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 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... | |
 | 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 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... | |
 | Newfoundland Council of Higher Education - 1916 - 254 pages
...AC respectively. Prove that the angle AED is equal to the angle AFD. (10) 5. Show, with proof, how to draw a straight line, through a given point, parallel to a given straight line. AB, BC, CD, DE, are four consecutive sides of an irregular hexagon, and the exterior angles formed... | |
 | Charles Smith - Conic sections - 1916 - 466 pages
...equations, we have the required condition, viz. I, m, n =0. V, m', n' a, b, c 258. To find the equation of a straight line through a given point parallel to a given straight line. Let the equation of the given line be la + mft + ny = 0. The required line meets this where The equation... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...and 12 be true if the phrase in the same plane were omitted? CONSTRUCTION OF PARALLELS 64. PROBLEM 6. To draw a straight line through a given point parallel to a given straight line. Show that the problem may be solved by using Th. 9, Th. 10, or Th. 12. Make the construction by each... | |
 | John Adams - Education - 1918 - 448 pages
...describe in full, and with chapter and verse for every statement, how according to Euclid it was possible to draw a straight line through a given point parallel to a given straight line ; but he had never worked such a problem in practice, he was probably unacquainted with the use of... | |
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