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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. "
New Elementary Geometry: With Practical Applications : a Shorter Course Upon ... - Page 62
by Benjamin Greenleaf - 1874 - 176 pages
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...equal (12) to DEF, their areas are equal, and the side AC is equal to DF. PROPOSITION XXXIII. PROB. Through a given point to draw a straight line parallel...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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...perpendicular to a given straight line of unlimited length, from a given point in the same . . I. 12. 6. Through a given point to draw a straight line parallel to a given straight line . . . . . . I. 31. B. Relating to Rectilineal Angles. 1. At a given point in a given straight line,...
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A Rudimentary Treatise on Land and Engineering Surveying, with all the ...

Thomas Baker (Civil engineer) - 1865 - 232 pages
...divide astraight line into two equal parts, 4 ; to draw two straight lines parallel to each other, 4; through a given point to draw a straight line parallel to a given ditto, 4 ; from a point in a straight line to erect a perpendicular, 4. Surface defined, 1. Surface...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...which are parallel, &c. QED PROPOSITION XXXI. PROBLEM. To draw a straight line throt4gh 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, through the point A, a straight line parallel to...
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Rudimentary treatise on mensuration and measuring

Thomas Baker (C.E.) - 1865 - 172 pages
...to divide a given, into two parts, 4; to draw a, at a given distance, parallel to a given line, 4; through a given point to draw a straight line parallel to a given si might line, 4; from a given point in a straight line to erect a perpendicular, Subfraction, symbol...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...Wherefore, straight lines &c. QED PROPOSITION 31. 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 the point A parallel to...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 338 pages
...or a given arc may be divided into four equal parts, into eight, into sixteen, &c. PROBLEM VII. 302. Through a given point, to draw a straight line parallel...straight line. '""--... From A draw a straight line, '"-•-...: AE, to any point, B, in CD. E cangle AEC (Prob. V.) ; and AB is parallel to CD. For the...
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 294 pages
...arc by the line CD, as in the previous case; then will CD bisect ACS (B. IV. Th. II.). PROBLEM VI. Through a given point to draw a straight line parallel...given straight line. Let A be the given point and CD the given line. From. A as a centre, with a radius greater than the shortest distance from A to...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1868 - 261 pages
...along it, so as to draw a series of perpendiculars to the ruler. All these lines will be parallel. F' Through a given point to draw a straight line parallel to a given straight line. 95. Let AB be the given straight line, and C the given point (fig. 81); from the point C drop the perpendicular...
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Modern Methods in Elementary Geometry

E. M. Reynolds - Geometry - 1868 - 112 pages
...CF were joined the three sides of the triangle EAD would be equal to those of FBC, each to each. 5. Through a given point to draw a straight line parallel to a given straight line. 6. Through a given point to draw a straight line making a given angle with a given straight line. 7....
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