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" 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. "
Elements of plane geometry, book i, containing nearly the same propositions ... - Seite 57
von Euclides - 1865
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 Seiten
...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....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...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...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 Seiten
...three properties of parallel lines are also the criteria for distinguishing parallels. PROP. XXVI. PROB. 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. at the point C make (I. 4.) an angle ^x....
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry ...

Sir John Leslie - 1809 - 524 Seiten
...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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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 through the point A, paral- ~ lei to the straight line BC. In BC take any point D, and...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 Seiten
...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...given straight line; it is required to draw a straight l/ A ' IT line through the point A, parallei to the straight line BC. In BC take any point D, and join...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 Seiten
...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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 Seiten
...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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 Seiten
...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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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - 1820 - 465 Seiten
...properties of parallel lines are so many criteria for the distinguishing of parallels, PROP. XXIU. PROB. I 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...
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