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" J_ to the given line. .'. the construction gives the perpendicular to a given line at a given point in the line. "
Elementary Synthetic Geometry of the Point, Line and Circle in the Plane - Page 77
by Nathan Fellowes Dupuis - 1894 - 294 pages
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Elements of geometry, with ... trigonometry

André Darré - 1872 - 226 pages
...to this perpendicular will be the perpendicular required (129). III. To draw a plane at right angles to a given line at a given point in the line. Let P be the given point in the given Fis. m. line AC (Fig. 114). Draw two planes AD * and AE, so as to...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 562 pages
...lines in Fig. 10 are oblique to each other. ELEMENTARY GEOMETRY. A Flo. 23. 44:, I* rob. — To erect a perpendicular to a given line at a given point in the line. SOLUTION.— Suppose I want to erect a perpendicular to the line XY, at the point A. With the dividers...
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A Treatise on Special Or Elementary Geometry

Edward Olney - Geometry - 1872 - 472 pages
...such as are not perpendicular to euch other. ELEMENTARY GEOMETRY. A Pш. 23. 44. Prob, — To erect a perpendicular to a given line at a given point in the line. SOLUTION.— Suppose I want to erect a perpendicular to the line XY, at the point A. With the dividers...
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Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - Geometry - 1883 - 344 pages
...the perpendicular at the middle point of the line. QB n. PROPOSITION VIII. 99. Problem.—To erect a perpendicular to a given line at a given point in the line. SOLUTION. Let XY be the given line, and A the given point. We are to erect a perpendicular to XY, at...
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Nathan Fellowes Dupuis - Geometry - 1889 - 370 pages
...point of AB. Cor. 2. If C be a given point on a line, and we take A and B on the line so that CA = CB, then the right bisector of the segment AB passes through...radius describe a circle. If PA is not J_ to L, the Q wil1 cut L in two points A and D. Then PD is the J_ required. Proof. — PDA is the angle in a semicircle,...
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Inventional Geometry

Isaac Newton Failor - Geometry - 1904 - 100 pages
...bisector of the line" (111). 118. Draw a perpendicular to a given line at its middle point. 119. Draw a perpendicular to a given line at a given point in the line. (Let AB be the given line and P the given point in AB (Fig. 47). From P as a center, and with any convenient...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...Ex. 7. Of all lines passing through a given point and parallel to a given plane. Ex. 8. Of all lines perpendicular to a given line at a given point in the line. Ex. 9. Of all points in a given plane equidistant from a given point outside the plane. Ex. 10. Of...
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Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...Ex. 7. Of all lines passing through a given point and parallel to a given plane. Ex. 8. Of all liues perpendicular to a given line at a given point in the line. Ex. 9. Of all points in a given plane equidistant from a given point outside the plane. Ex. 10. Of...
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Mechanical Drawing: Technique and Working Methods, for Technical Students

Charles Laban Adams - Mechanical drawing - 1905 - 222 pages
...intersecting AB and AE' B in E and E' ', the required middle points. Problem 2.— To dra-uj a line perpendicular to a given line at a given point in the line. Let AB be the given line, and C the given point. With any radius, C as center, draw arcs intersecting AB...
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The Elements of Geometry

Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...Bisect a given line-segment. (6) Erect a mid-perpendicular to a given line-segment. PROB. V. Erect a perpendicular to a given line at a given poin.t in the line. PROB. VI. Draw a perpendicular to a given line from a given point without the line. Find the points...
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