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" From a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw, from the point A, a straight line equal to BC. "
The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text, Based ... - Page 5
by Euclides - 1853
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...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,...BC the given straight line ; it is required to draw a straight line through the J] point A, parallel to the straight line BC. In BC take any point £ jj...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...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,...BC the given straight line ; it is required to draw a straight line through the point A, parallel to the EAF straight line BC. "" In BC take any point...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...Prop. I. Prob. To describe un equilateral triangle upon a given finite straight line. Prop. II. Prob. From a given point to draw a straight line equal to a given straight line. Prop. III. Prob. From tl.e greater of Mi) giren straight lines to cut off a part equal to the less....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 558 pages
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...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,...BC the 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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...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 t$ ** . .— — the straight...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

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

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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...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,...
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A Supplement to the Elements of Euclid

Daniel Cresswell - Euclid's Elements - 1825 - 582 pages
...given finite straight line. Let ABCD be the given equilateral parallelogram, and E the given finite straight line : It is required to draw, from A, a straight line cutting BC, and CD produced, so that the part of it, between these two lines, shall be equal to E....
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