| 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 - 548 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... | |
| Euclides - 1814 - 560 pages
...Wherefore straight lines, &c. Q, ED therefore also AGK is equal to GKD; and they are alterPROP. 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... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...another, the figure is a parallelogram. . COR. 1. Hence may be deduced a practical method of drawing **a straight line, through a given point, parallel to a given straight line.** COR. 2. A rhombus is a parallelogram. PROP. XXIX. (xvH.) • i Every parallelogram which has one angle... | |
| John Playfair - Circle-squaring - 1819 - 348 pages
...AB ~ \ D is parallel (27.1.) to CD. Where- \ fore straight lines, &c. QED PROP. XXXI. PROB. To druw **a straight line through a given point parallel to...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... | |
| John Playfair - 1819 - 354 pages
...•*' isparalief(27.1.)toCD. Where- X fore straight lines, &c. Q, ED PROP. XXXI. PROB. To draw a^raight **line through a given point parallel to a given " straight...given point, and BC the given straight line ; it is** re* Quired to tJraw a straight line » through the point A, parallel t$ ** . .— — the straight... | |
| Daniel Cresswell - Geometry - 1819 - 446 pages
...DC ; *'. e. the figure ABCD is a O. 27. COR. 1. Hence may be deduced a practical method of drawing **a straight line, through a given point, parallel to a given straight line.** For, let it be required to draw through the given point B, a straight line parallel to AD : From any... | |
| 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... | |
| 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... | |
| Peter Nicholson - Mathematics - 1825 - 1058 pages
...alternate angles j therefore AB is parallel (27. 1.) to CD. Wherefore straight lines, &c. QED Proposition **XXXI. Problem. To draw a straight line through a given...given straight line. Let A be the given point, and BC** E л г the given straight line ; it is required .to draw a straight line through the ./^ point A,... | |
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