 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...four equal parts, into eight, into sixteen, and so on. PEOBLEM VI. 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 the point A as a centre, | with a radius greater than the shortest distance from A to .5(7,... | |
 | Euclides - 1853 - 146 pages
...therefore (I. 27.) 4. AB is parallel to CD. Wherefore straight lines, &c. QED PROP. XXXI. PROBLEM. To draw a straight line through a given point parallel...BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC. In BC take any point D, and join... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...therefore AB is parallel (27. i.) to CD. Wherefore, straight lines, etc. QED PROPOSITION XXXI. PROS. To draw a straight line through a given point parallel...BC the given straight line; it is required to draw a straight line through the point A, parallel to the straight line BC. "7 In BC take any point D, and... | |
 | Euclides - Geometry - 1853 - 176 pages
...therefore ab is parallel (i. 27) to Сd; / Wherefore, straight lines, &c. QED PROPOSITION XXXI.— PROBLEM. To draw a straight line through a given point parallel...given straight line. LET a be the given point, and b С the given straight line ; it is required to draw a straight liae through the point a, parallel... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...described upon the given straight line AB. PROP. II. PROB. From a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight iine ; it is required to draw, from the point A, a straight line equal to BC. From the point A to B... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...equal parts, into eight, into sixteen, and so on. PROBLEM VI. Through a given point, to draw a line parallel to a given straight line. Let A be the given point, and BO the given line. From the point A as a centre, F .g with a radius AE, greater than the shortest distance... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...direction. The shortest distance is always found in the direction perpendicular to the parallels. To irme л straight line through a given point parallel to a given straight line. Let A be the given point, and В ~, _.--\ С ПС the given i ,.---'' line. From the \ ^,--'' point A. as а Л centre, with a radius... | |
 | Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...perpendicular to the parallels. 416 CYCLOPEDIA OF MATHEMATICAL SCIENCE. 417 To draw a straight lute through a given point parallel to a given straight line. Let A be the given point, and B~ ~-\ С В С the given une. From the point A, as а centre, with a radius greater than the shortest... | |
 | Euclides - 1855 - 270 pages
...each of its sides double the base. PROP. II. PROBLEM. From a given point to draw a straight line equal to a given straight line. Let A be the given point, and B С the given straight line. It is required to draw from the point A a straight line equal to B С.... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 pages
...terms, viz. : — A jriom, Postulate, Problem, Theorem ; also the terms Lin<>, Angle, and Surface. 2. To draw a straight line through a given point parallel to a given straight line. — Euclid I., 31. 3. The interior angles of a polygon are equal to twice as many right angles, diminished... | |
| |
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... 
