Books Books 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. Elements of geometry, containing the first two (third and fourth) books of ... - Page 106
by Euclides - 1871 ## Notes on Descriptive Geometry

James David Phillips, Adam Vause Millar - Geometry, Descriptive - 1908 - 116 pages
...line makes with the planes of projection. 57. Through a given point, to pass a plane perpendicular to a given straight line. Let A be the given point and BC the given line, Fig. 42. Analysis. The directions of the traces of the required plane are known; the... ## Essentials of Descriptive Geometry

James David Phillips, Adam Vause Millar - Geometry, Descriptive - 1909 - 122 pages
...Can a line make 45° with H and 60° with V? 58. Through a given point, to pass a plane perpendicular to a given straight line. Let A be the given point and BC the given line, Fig. 42. Analysis. The directions of the traces of the required plane are known; the... ## Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1916 - 252 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... ## An Elementary Treatise on Conic Sections by the Methods of Co-ordinate Geometry

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... ## Plane Geometry

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... ## The New Teaching

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... ## Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...cannot however be proved by experiment to be true. It is conceivable that there might be more than one straight line through a given point parallel to a given straight line. Through a point O we can certainly draw more than one line which does not meet AB if produced to the... ## The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - Geometry, Non-Euclidean - 1993 - 320 pages
...his logical edifice. Proposition 2. To place at a given point (as an extremity) a straight line equal to a given straight line. Let A be the given point and BCthe given straight line (Fig. 1.2). Thus it is required to place at the point A (as an extremity)... ## A Mathematics Sampler: Topics for the Liberal Arts

William P. Berlinghoff, Kerry E. Grant, Dale Skrien - Mathematics - 2001 - 672 pages
...Proposition 27 to construct a line parallel to the given line, as follows: Proposition 31: (Construction) How to draw a straight line through a given point parallel to a given line. B DC Figure 3.11 Constructing a line parallel to a given line Proof: (See Figure 3.11.) Let A... 