| Robert Simson - Trigonometry - 1806 - 518 pages
...angles ; b 27. 1. therefore AB is parallel b to CD. Wherefore, straight lines, &c. QED PROP. XXXI. PROB. **TO draw a straight line through a given point parallel...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... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...therefore b 27. 1. AB is parallel to CD. Wherefore, straight lines, &c. QED % • PROP. XXXI. PROB. **TO draw a straight line through a given point parallel...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 J] point A, parallel to... | |
| Euclides - 1814 - 558 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... | |
| Euclides - 1816 - 528 pages
...nate angles; therefore AB is parallel b to CD. Wherefore straight lines, &c. QED PROP. XXXI. PROS. **To draw a straight line through a given point parallel...given straight line. Let A be the given point, and BC** the given straight line; it is required to draw a straight l/ A ' IT line through the point A, parallei... | |
| 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... | |
| Euclid, 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 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... | |
| John Playfair - 1819 - 317 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 line. Let A be the given point, and BC** the given straight line ; it is re* Quired to tJraw a straight line » through the point A, parallel... | |
| Daniel Cresswell - Geometry - 1819 - 410 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 - 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... | |
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