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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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...Wherefore str. lines, &c. PROP. XXX. PROB. 31. 1 Ku. To draw a straiglit line through a givmpoint, parallel to a given straight line. Let A be the given point, BC the given str. line. To draw a str. line through A || BC. In BC take any pt. D, join AD, make L...
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An elementary course of mathematics, Volume 2

Samuel Hunter Christie - 1847 - 172 pages
...projection, except in the case in which these angles are together equal to a right angle. PROBLEM XX. Through a given point, to draw a straight line parallel to a given plane, and making, with the horizontal plane, a given angle, not greater than the inclination of the...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...AB. Which was required to be done. PROP. II. PROS. From a given point to dram 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 B draw (Post. 1.) the straight line...
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Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - Measurement - 1849 - 156 pages
...raised and let fall by a square, or other suitable instrument. 11. 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 the point A, as a centre, with a radius greater than the shortest distance from A to BC,...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...line CD will divide the angle ACB into two equal parts. PROBLEM VI. 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 the point A as a centre, with a radius greater than the shortest distance from A to BC,...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...bisections, an arc or angle may be divided into four equal parts, into eight, sixteen, &c. PROBLEM VI. Through a given point, to draw a straight line parallel to a given line. given straight line; it is required to draw -? * Let A be the given pdint, and BC the D DC through...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - Nautical astronomy - 1851 - 674 pages
...therefore the circumferences of circles will be in proportion to their radii. PROBLEMS. Problem I. Through a given point to draw a straight line parallel to a ffive> straight line. Let D be the given point, and AB the _^ |___ given straight line. •••'"'...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...solids, and is called a tetrahedron."] PEOP. II. PROB. 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. BOOK L From the point A to B draw a the straight line...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...four equal parts, into eight, into sixteen, and so on. PEOBLEM VI. 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 the point A as a centre, | with a radius greater than the shortest distance from A to .5(7,...
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The millwright & engineer's pocket companion

William Templeton (engineer.) - 1852 - 284 pages
...angle into two equal parts 29 3. From any given point in a right line to erect a perpendicular .. 29 4. Through a given point to draw a straight line parallel to a given straight line 30 5. To divide a right line into any number of equal parts 31 6. To divide a triangle into two equal...
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