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" Through a given point, to draw a straight line parallel to a given straight line. See Fig. 36; also 4 of Plate I. CONSTRUCTION. — Let P be the given point, and AB the given straight line 3| "
Elementary geometrical drawing - Page 4
by Samuel H. Winter - 1859 - 32 pages
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An Epitome of Navigation and Nautical Astronomy with the Improved Lunar Tables

Janet Taylor - Nautical astronomy - 1842 - 592 pages
...one of its angles obtuse, as the angle A, in the triangle ABC. PROBLEMS. PROBLEM l. Through a given point to draw a straight line parallel to a given straight line. Let D be the given point, and AB the .. ..^ given straight line. D Take the nearest distanee from D to...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - Geometry, Plane - 1844 - 108 pages
...equal radii and equal chords, are equal (B. II. Prop. 4, Cor. 1). PROP. V. PROBLEM. Through a given point to draw a straight line parallel to a given straight line. Let A be the given point, DC the given line. From A as a centre, with any radius longer than the shortest...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...therefore (1. 27) AB is parallel to CD. Wherefore, Straight lines %c. QED PROP. XXXI. PHOB. 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...
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An elementary course of mathematics, Volume 2

Samuel Hunter Christie - 1847 - 172 pages
...to b's and a'r, the straight line AB will coincide and be equal to gf. PKOBLEM VII. Through a given point, to draw a straight line parallel to a given straight line; that is, having given the projections of a point and of a straight line, to find those of a parallel...
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The Millwright and Engineer's Pocket Companion

William Templeton (engineer.) - 1852 - 284 pages
...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 Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...... 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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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...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 to a given straight line. Let A be the given point, and A -^ B CD the given straight line. ""•••..... From A draw a straight...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...be divided into four equal parts, into eight, into sixteen, <fec. PROBLEM VII. 302. Tlirough a given point, to draw a straight line parallel to a given straight line. Let A be the given point, and A — • — B CD the given straight line. "•••-... From A draw a...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...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 to a given straight line. Let A be the given point, and A ^ B CD the given straight line. '"--.... From A draw a straight line, ""--...„...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...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 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...
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