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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. "
Euclid - Page 63
by Euclid, Rupert Deakin - 1903 - 164 pages
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...also the angles O and A (10). I;' PROPOSITION XXX.— PROBLEM. 75. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From any point B in BC draw the straight D line BAD through A. At the point A, by /' the preceding...
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The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...without it is the straight line bisecting at right angles the perpendicular from the given point upon the given straight line. Let A be the given point and BC the given straight line; From A draw AD perpendicular to BC and let AE be any straight line not perpendicular to BC and meeting...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...be the 31st Proposition of Euclid-s First Book. Ex. 1. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC be the given straight line. Suppose the problem to be effected, and EF to be the straight line required....
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...consequently also the angles 0 and A (10). PROPOSITION XXX.—PROBLEM. 75. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From any point B in BC draw the straight * line BAD through A. At the point A, by ,{ the preceding...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...this proposition we must be able : — 1. On a given straight line to describe a square. (I. 46.) 2. Through a given point to draw a straight line parallel to a given straight line. (I. 31.) Let AB be a right line divided into two parts at the point C. We have to show that the Q on...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...bisected, the original arc or angle will be divided into eight equal parts ; and so on. PROBLEM VI. Through a given point, to draw a straight line parallel to a given straight line. shortest distance from A to BC, \ ^"^ \ Let A be a given point, and BC a given line. From the point...
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Elementary geometrical drawing

Samuel H. Winter - 1872 - 226 pages
...I. To find the projections of a straight line passing through two given points ' . . . . . .19 II. Through a given point to draw a straight line parallel to a given straight line . . . . . .19 III. Given the projections of a straight line, to find its traces . . 20 IV. To find...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...tlie 31st Proposition of Euclid's First Book. Ex. 1. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC be the given straight line. Suppose the problem to be effected, and EF to be the straight line required....
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...straight line AB. QEF r W PROPOSITION 2. PROBLEM. From a given point to draw a straight line equal to a given straight line. Let A be the given point,...BC the given straight line : it is required to draw from the point A a straight line equal to BC. From the point A to J?draw the straight line AB ; [Post....
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...triangle, described upon AB. QEF B PROP. II. PROBLEM. From a given point to draw a straight line equal to a given straight line. Let A be the given point,...BC the given straight line. It is required to draw from A a straight line equal to BO. CONSTRUCTION. — 1. From A to B draw the straight line AB (post....
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