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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 Geometry: With Practical Applications to Mensuration - Page 123
by Benjamin Greenleaf - 1868 - 320 pages
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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, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 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, and BC the given straight line ; it is required to draw a straight line through the J] point A, parallel...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...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 - 1816 - 528 pages
...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 ' IT line through the point A, parallei...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...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...
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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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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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A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - Mathematics - 1822 - 680 pages
...by drawing the parallel through Q' instead, of &", and using the distance P"Q" instead ' PROBLEM VI. Through a given point to draw a straight line parallel to a given straight line. Let AB be the ground line, pqf and p"$" the horizontal and vertical projections of the given line, and...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...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 line through the ./^ point...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 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, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to...
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