Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC. Euclid - Page 63by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
| John Playfair - Euclid's Elements - 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 - 518 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... | |
| 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... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 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... | |
| Charles Hutton - Mathematics - 1822 - 680 pages
...by drawing the parallel through Q' instead, of &", and using the distance P"Q" instead ' PROBLEM VI. **Through a given point to draw a straight line parallel to a given straight line. Let** AB be the ground line, pqf and p"$" the horizontal and vertical projections of the given line, and... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...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 line through the ./^ point A,... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...straight lines. &e, QED PROP. XXXI. PROB. To draw a straight line through a given point parallel td **a given straight line. Let A be the given point, and BC the given straight line, it is required** tit draw a straight line thrbugh thfe point A, parallel to the straight line BC. In BC take any point... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...be done. 1 1 Po»t. • 1st A*1mii. 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* the straight line AB; •... | |
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