| John Playfair - Mathematics - 1806 - 320 pages
...Which was required to be done. PROP. II. PROB. • FROM a given point to draw a straight line equal to a given straight line. Let A be the given point,...BC the given straight line ; it is required to draw from the point A a straight line equal to BC. Book I. d 3. Pott, e U. Def. f 19. Def. g 3. Ax. hi.... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...AB. Which was required to be done. PROP. II. PROB. FROM a given point to draw a straight line equal to a given straight line. Let A be the given point,...BC the given straight line ; it is required to draw from the point A a straight line equal to BC. From the point A to B draw a the straight line AB; and... | |
| Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...three properties of parallel lines are also the criteria for distinguishing parallels. PROP. XXVI. PROB. Through a given point, to draw a straight line parallel to a given straight line. To draw, through the point C,a straight line parallel to AB. at the point C make (I. 4.) an angle ^x.... | |
| Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...properties of parallel lines are also the criteria for distinguishing parallels. PROP. XXVI. PROS. Through a given point, to draw a straight line parallel to a given straight line. To draw, through the point C,a straight line parallel to AB. . In AB take any point D, join CD, and... | |
| Euclides - 1814 - 560 pages
...XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. Let Abe the given point, and BC the given straight line; it is required to draw a straight ^ A r. line through the point A, paral- ~ lei to the straight line BC. In BC take any point D, and... | |
| Euclides - 1816 - 588 pages
...CD. Wherefore straight lines, &c. QED PROP. XXXI. PROS. To draw a straight line through a given point parallel to a given straight line. Let A be the given...given straight line; it is required to draw a straight l/ A ' IT line through the point A, parallei to the straight line BC. In BC take any point D, and join... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...Where- \ fore straight lines, &c. QED PROP. XXXI. PROB. To druw 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 ret quired to draw a straight line . through the point A, parallel t« "^*" - — ' — the straight... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...triangle. GEOMETRICAL PROBLEMS. SECT. I. (1.) FROM a given point, to draw the shortest line possible to a given straight line. Let A be the given point, and BD the given line. From A let fall the perpendicular AC; this will be less than any other line AD drawn... | |
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...PROBLEMS. . •' <.' ''/:•' . SECT. I. (1.) FROM a given point, to draw the shortest line possible to a given straight line. Let A be the given point, and BD the given line. From A let fall the perpendicular AC; this will be less than any other line AD drawn... | |
| Sir John Leslie - Geometry, Plane - 1820 - 482 pages
...properties of parallel lines are so many criteria for the distinguishing of parallels, PROP. XXIU. PROB. I Through a given point, to draw a straight line parallel to a given straight line. To draw, through the point C, a straight line parallel to AB. In AB take any point D, join CD, and... | |
| |