 | Robert Simson - 1806 - 546 σελίδες
...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 Playfair - 1806 - 320 σελίδες
...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.... | |
 | Euclides - 1814 - 560 σελίδες
...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 - 1817 - 454 σελίδες
...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 - 1819 - 350 σελίδες
...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 σελίδες
...•*' 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 - 1819 - 446 σελίδες
...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 - 1819 - 444 σελίδες
...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 - 1819 - 442 σελίδες
...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 - 1825 - 1046 σελίδες
...they are alternate angles j therefore AB is parallel (27. 1.) to CD. Wherefore straight lines, &c. QED Proposition XXXI. Problem. To draw a straight line...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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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... 
