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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.
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)...