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" Through a given point to draw a line parallel to a given straight line. Let C be the given point, and AB the given line. From C draw a line CD to AB; at C in the line DC make an angle DCE equal to CDA (5); CE is parallel to AB (I. "
An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ... - Page 114
by William Frothingham Bradbury - 1877 - 240 pages
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Elements of Geometry

abbé Rossignol (Jean-Joseph) - Geometry - 1787 - 190 pages
...alternate angles r, s, are therefore equal, and confequently ''the lines BA, DC are parallel. PROP. XXI. Through a given point to draw a line parallel to a given line. Let G be the point through which it is required to draw a line parallel to the given line MF....
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...whence the triangles AGC and BGH are equal (I. 23.), and therefore AG is equal to BG. PROP. III. PROB. Through a given point, to draw a line parallel to a given straight line. Let it be required, by a rectilineal copstruction, to draw through C a parallel to Cr In AB take any two...
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The principles of architecture, Volume 1

Peter Nicholson - 1809 - 426 pages
...given angle into two equal angles . 6 VI. To trisect a right angle into three equal angles . 7 VII. Through a given point, to draw a line parallel to a given line . . . ,7 VIII. To divide a given line into any proposed number of equal parts . . . .8 I'KOB....
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A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Volume 1

Peter Fleming - Surveying - 1815 - 250 pages
...^„,^.,v«v^,.^™..4,,.v from a given point without a straight line, 7 7. To bisect a straight line, - .... ibid. 8. Through a given point, to draw a line parallel to a given straight line, ibid. 9. Upon a straight line to construct a square, - 8 10. ' To divide a straight line into any number...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry - 1817 - 456 pages
...whence the triangles AGC and BGH are equal (I. 20.), and therefore AG is equal to BG. PROP. III. PRQB. Through a given point, to draw a line parallel to a given straight line. Let it be required, by a rectilineal construction, to draw through C a straight line parallel to AB. In...
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The Mechanic's Companion: Or, the Elements and Practice of Carpentry ...

Peter Nicholson - Bricklaying - 1832 - 424 pages
...bisect a given straight line - - • ibid. Prob. 6. To bisect a given angle - - - ibid. PAGE Prob. 8. Through a given point to draw a line parallel to a given right line .... -20 Prob. 9. To draw a line parallel to another at a given distance . - . . . ft. Prob....
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Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - Navigation - 1837 - 342 pages
...two following problems. I. To draw through a given point a line which shall be parallel to a given line. Let C be the given point, and AB the given line. 1 Place the hypothenuse of the triangle . „ against the edge of the ruler, and then place the ruler...
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Annual Report of the Board of Education, Volume 56

Massachusetts. Board of Education - Education - 1893 - 504 pages
...supplements. 20.* When a line crosses two parallel lines, compare the alternate angles. They are equal. 21. Through a given point to draw a line parallel to a given line. 22.* Oblique lines, extending from a point in one of two perpendicular lines to points equally...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...PROBLEM II. From a given point without a straight line, to let fall a perpendicular on the line. 98. Let C be the given point, and AB the given line. From C measure a line, as CA, to any point of the line AB. From A, measure on AB any distance as AF, and at...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...two following problems. I. To draw through a given point a line which shall be paralltl to a given line. Let C be the given point, and AB the given line. - 1 Place the hypothenuse of the triangle ^ ^ against the edge of the ruler, and then place the ruler...
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