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. In BC take any point... A Supplement to the Elements of Euclid - Page 5by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
| John Playfair - Mathematics - 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 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... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...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 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... | |
| Euclides - 1816 - 588 pages
...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 to a given straight line.** Let A be the given point, and BC the given straight line; it is required to draw a straight l/ A '... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...another, and the two remaining sides be also equal to one another, the figure is a parallelogram. . **COR. 1. Hence may be deduced a practical method of...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 - 350 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 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... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...AB is parallel (27. 1.) to CD. Wherefore straight lines, &c. QED Proposition XXXI. Problem. To draw **a straight line through a given point parallel to a 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... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...therefore AB is parallel * to CD. * n. 1. Wherefore, straight lines, &c. QED PROP. XXXI. PROB. 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... | |
| John Playfair - Geometry - 1829 - 210 pages
...CD (Prop. 27). C " " ~~\ D Wherefore straight lines &c. \ QED X PROPOSITION XXXI. PROBLEM. 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... | |
| Euclid - 1835 - 540 pages
...AB is parallel b to CD. Where- b 27. 1. fore, " straight lines," &c. QED PROP. XXXI. PROB. 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 . _-,... | |
| John Playfair - Geometry - 1836 - 148 pages
...lines that are parallel to the same straight line, are parallel to one another. PROP. IV. PROB. 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... | |
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