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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 Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 384 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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 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 A through the point A, parallel...
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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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Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - Measurement - 1849 - 144 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...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - Nautical astronomy - 1851 - 702 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 Millwright and Engineer's Pocket Companion

William Templeton - 1852
...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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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...straight lines, &c. QED ,F D BOOK I. 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 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...
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 136 pages
...straight Lines. 12 ... From a given point to draw a straight line equal to a given finite straight line. Through a given point to draw a straight line parallel to a given straight line. From the greater of two given straight lines to cut off a part equal to the less. To bisect a given...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...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 b С the given straight line ; it is required to draw a straight liae through the point a, parallel...
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