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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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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...parallel lines are also the criteria for distinguishing parallels. PROP. XXVI. PROB. Through a given point, to draw a straight line parallel to a given straight line. To draw, through the point C,a straight line parallel to AB. at the point C make (I. 4.) an angle ^x....
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A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - Mathematics - 1822 - 680 pages
...parallel through Q' instead, of &", and using the distance P"Q" instead ' PROBLEM VI. Through a given point to draw a straight line parallel to a given straight line. Let AB be the ground line, pqf and p"$" the horizontal and vertical projections of the given line, and...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 156 pages
...from AB can be parallel to CD, and AB itself must be parallel to C D. 37. PROBLEM. — Through a given point to draw a straight line parallel to a given straight line. Let F 22 AB be the given line and C the given point (fig. 22). SOL. — With C as a centre and any convenient...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - Mathematics - 1831 - 662 pages
...through o.' instead of a", and using the distance p'V instead of r'q,'. PROBLEM VI. Through a given point to draw a straight line parallel to a given straight line. Let AB be the ground line, r'd' and p"o." the horizontal and vertical projections of the given line, and...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - Mathematics - 1831 - 656 pages
...through Q.' instead of a'', and using the distance p"d" instead of p'a'. PROBLEM VI. Through a given point to draw a straight line parallel to a given straight line. A Let AB be the ground line, r'o/ and P"Q." the horizontal and vertical projections of the given line,...
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Operative Masonry: Or, A Theoretical and Practical Treatise of Building ...

Edward Shaw - Architecture - 1832 - 244 pages
...and through k draw the straight line LD, and FLD is the angle required. PROBLEM, V. Through a given point /to draw a straight line parallel to a given straight line AB. Fig. 5. Let /be the given point, and AB the given straight line. Draw any straight line/e. meeting...
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A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834 - 370 pages
...bisect a given straight line, that is, to divide it into two equal parts, . . . .7 II. Through a given point to draw a straight line parallel to a given straight line, . . .8 HI. To draw a straight line parallel to, and at a given distance from, a given line, . . .8...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - Geometry - 1837 - 254 pages
...given point without it. 7. To draw a straight line parallel to a given straight line. 8. From a given point, to draw a straight line parallel to a given straight line. It is required, II.—ANGLES. 1. To make a right angle. 2. To make an obtuse angle. 8. To make an acute...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 pages
...parallel to the same straight line, are parallel to one another. A c/ B ci/ PROP. XXXI. PROB. From a given point to draw a straight line parallel to a given straight line. PROP. XXXII. THEOR. If a side of any triangle is produced, the external angle is equal to the two internal...
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Recreations in mathematics and natural philosophy, recomposed by m. Montucla ...

Jacques Ozanam - 1840 - 850 pages
...excluding the use of a cord, with which the arc of a circle may be described. 1st. Through a given point to draw a straight line, parallel to a given straight line. к 4 Let А в (Fig. 4.) be the straight line, and с the point through which it is required to draw...
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