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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 ; it is required to draw a straight line through the point A, parallel to the straight hue BC. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 106
by Euclides - 1871
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - Euclid's Elements - 1817 - 436 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

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...
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A Supplement to the Elements of Euclid

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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

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

Miles Bland - Euclid's Elements - 1819 - 377 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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