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" To draw a straight line at right angles to a given straight line, from a given point in the same. "
The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose - Page 16
by Euclides - 1853
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...line AB is divided into two equal parts in the point D. Which was to be done. PROP. XI. — PROBLEM. To draw a straight line at right angles to a given...straight line, from a given point in the same. Let AB be a given straight line, and C a point given in it; it is required to draw a straight line from the point...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...line AB is divided into two equal parts in the point D. Which was to be done. PROPOSITION XI. PROB. To draw a straight line at right angles to a given...straight line, from a given point in the same. Let AB be a given straight line, and C a point given in it; it is required to draw a straight line from the point...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...is divided into two equal parts in the point d. Which was to be done. PROPOSITION XI. — PROBLEM. To draw a straight line at right angles to a given straight line, Jrom a given point in the same. LET ab be a given straight line, and ca point given in it ; it is required...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 520 pages
...and be at right angles to each other. Within what limits only is this possible ? (24) Apply Prop. vi. to draw a straight line at right angles to a given straight line from one extremity of it, when the given line cannot be produced'. (25) Construct a square, when the diagonal...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...AB is divided into two equal parts in the point D. Which was to be done. PROPOSITION XI.— PBOBLEM. To draw a straight line at right angles to a given straight line (AB), from a given point (C) in it. Take any point D in AC, and make С E = С D. Upon DE describo...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...he divided into any number of equal parts denoted by the series 2, 4, 8, 16, &c. PROP. XI. PROBLEM. To draw a straight line at right angles to a given straight line, from a gicen point in the same. Let AB be a given straight Jiiie, and C a given point in it. It is required...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...(4. 1.) DB, and the straight line AC is divided into two equal parts in the point D. PROP. XI. PROB. To draw a straight line at right angles to a given straight line, from a give* point in that line. Let AB be a given straight line, and C a point given in it; it is required...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...have the same ratio which the other sides of the triangle have to one another. SECOND DIVISION (B.) 1. To draw a straight line at right angles to a given straight line, from a given point in the same. If two straight lines bisect each other at right angles, every point in either of them is equidistant...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...of the base equal to one another, and likewise those which are terminated in the other extremity. 2. Draw a straight line at right angles to a given straight line, from a given point in the same. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior...
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The Popular Educator, Volume 1

1856 - 422 pages
...than those which are usually given. SOLUTIONS OF PROBLEMS AND QUERIES. (From No. 7, paye 111.) 1 . Draw a straight line at right angles to a given straight line from one of its extremities, without producing it ; and give a demonstration with as few propositions from...
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