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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 N. F. DUPUIS, M.A., F.R.S.C. - 1894

## Elements of geometry, with ... trigonometry

André Darré - 1872
...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...

## A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872
...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...

## A Treatise on Special, Or Elementary Geometry

Edward Olney - Geometry - 1872 - 239 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...

## Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - Geometry - 1883 - 333 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...

## Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Nathan Fellowes Dupuis - Geometry - 1889 - 294 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,...

## Inventional Geometry

Isaac Newton Failor - Geometry - 1904 - 83 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...

## PLANE AND SOLID GEOMETRY

FLETCHER DURELL. PH.D. - 1911
...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...

## Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 206 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...

## Mechanical Drawing: Technique and Working Methods, for Technical Students

Charles Laban Adams - Mechanical drawing - 1905 - 204 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...

## The Elements of Geometry

Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 355 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...