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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. In BC take any point... "
A Supplement to the Elements of Euclid - Page 5
by Daniel Cresswell - 1819 - 410 pages
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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 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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 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 '...
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

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

John Playfair - Euclid's Elements - 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 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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 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...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 186 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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 . _-,...
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The Element of Geometry

John Playfair - Geometry - 1836 - 114 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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