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" At a given point in a straight line to erect a perpendicular to that line. Let AB be the straight line, and let c D be a given point in it. "
The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ... - Page 100
by Edward Brooks - 1868 - 275 pages
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 444 pages
...rectangle shall be equal to a given rectangle, and which shall cut off" equal segments from the given line. Let AB be the given line, and C the given point. Bisect AB in D, and from D draw DO at right angles to AB, and let fall the perpendicular CE. With the...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 442 pages
...rectangle shall be equal to a given rectangle, and which shall cut off equal segments from the given line. Let AB be the given line, and C the given point. Bisect AB in D, and from D draw DO at right angles to AB, and let fall the perpendicular CE. With the...
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The new practical gager

Matthew Iley - 1820 - 512 pages
...DRAWING AND DIVIDING LINES. PROBLEM I. To erect a perpendicular from a given point in a given straight line. Let AB be the given line, and C the given point ia it, from which a perpendicular is to be erected. F. TO From C as a centre, with any convenient opening...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...triangle. PROB. III. To trace on the ground a line perpendicularly to a given line, from a given point in that line. Let AB be the given line, and c the given point in it. If the required perpendicular is to be but a few feet in length, a triangle may be formed thus....
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...AD and BD. Then, in the two triangles ACD, CBD, we have AC=CB, AD=BD BOOK II. Problems. PROBLEM VI. At a given point in a straight line to erect a perpendicular to the line. Let A be the given point, and BC the given line. From A lay off any two distances, AB and...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...E. For, draw the radii AD and BD. Then, in the two triangles ACD, CBD, we have Problems. PROBLEM VI. At a given point in a straight line to erect a perpendicular to the line. Let A be the given point, and BC the given line. From A lay off any two distances, AB and...
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A Treatise on Surveying and Navigation: Uniting the Theoretical, Practical ...

Horatio Nelson Robinson - History - 1853 - 334 pages
...will bisect the given angle. INTRODUCTION. 13 PROBLEM 3. From a given point, in a given line, to draw a perpendicular to that line. Let AB be the given line, and C tlie given point. Take n and m equal distances on opposite sides of 0; and from the points m and n,...
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Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...the given angle. 79 PROBLEM 3. From a given point, in a given line, to draw a perpendicular to thai line. Let AB be the given line, and C the given point. Take n and m equal distances on opposite sides of C; and from the points m and «, as centers, with...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1855 - 340 pages
...to BCD, it follows that the arc AE, which measures the former, is equal to 56 ProblemsPROBLEM VIAt a given point in a straight line to erect a perpendicular to tht l1neLet A be the given point, and BC the given lineFrom A lay off any two distances, AB and AC,...
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A course of practical geometry for mechanics

William Pease - 1856 - 108 pages
...perpendicular. If the operations are correct, these perpendiculars will meet in one point. PROBLEM IX. At a given point in a straight line, to erect a perpendicular, when that point is near the middle of the line. Let AB be the given line, and C the given point. 1....
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