 Problem. Through a given point to pass a plane parallel to a given plane. Solution. Draw two intersecting lines in the given plane. Through the given point draw two lines parallel to these lines, thus determining the required plane. PROPOSITION XXXI....  Solid Geometry - Page 281by Wooster Woodruff Beman, David Eugene Smith - 1903Full view - About this book
 | Thomas Grainger Hall - Geometry, Descriptive - 1841 - 214 pages
...projections of their intersection, or of the line required. DESCRIPTIVE GEOMETRY. PROBLEM 14. From a given point to draw a line perpendicular to a given plane, and then to determine its magnitude 28. We shall first show that the projections of the perpendicular... | |
 | George Clinton Whitlock - Mathematics - 1848 - 340 pages
...forward ones — . Fig. 82. PLOTTING. Ans. 10'29 feet elevation. SECTION SECOND. Plotting. PROBLEM I. Through a given point to draw a line perpendicular to a given line. Join the given point, P, and any convenient point, Q, of the given line ; with the middle, O,... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...line of intersection and the given line (Prop. xvin.). This is the angle required. PROPOSITION XXH. Through a given point to draw a line perpendicular to a given line. 1 . Find the traces of the plane through the given point and given line (Prop. xiv.). 2. Find... | |
 | War office - Fortification, Field - 1871 - 286 pages
...lines may be found by observing the coincidence with pickets placed in both lines. 6. PROBLEM III.— Through a given point, to draw a line perpendicular to a given line.—(EUCLID I., 12.) (1.) When the point P is in the given straight line AB, and not near either... | |
 | George E. Webster - 1874 - 136 pages
...the elevation, and d the plan of the point of interaactiou of line and the plane. PROBLEM 26. From a. given point to draw a line perpendicular to a given plane, and to determine its point of intersection with tlie given plane. The line required will be perpendicular... | |
 | Henry Angel - 1880 - 360 pages
...in st but also in line ab. Therefore p is the intersection of a. b with the plane Z. PROBLEM CCLXIX. Through a given point to draw a line perpendicular to a given plane. (Fig. 186.) Let Z be the given plane and Jj3 the given point. As perpendiculars to planes are always... | |
 | Henry Angel - Geometry, Plane - 1880 - 372 pages
...in st but also in line ab. Therefore p is the intersection of ab with the plane Z. PROBLEM CCLXIX. Through a given point to draw a line perpendicular to a given plane. (Fig. 186.) Let Z be the given plane and 6j3 the given point. As perpendiculars to planes are always... | |
 | David Allan Low - 1884 - 178 pages
...in both planes and also in a 6 ; therefore it is the intersection required. F,r,. 141. PROBLEM 109. Through a given point, to draw a line perpendicular to a given plane. The plan of a line which is perpendicular to a plane is at right angles to the horizontal trace of... | |
 | Geometry, Solid - 1887 - 90 pages
...parts. These true forms can, when obtained, be pieced together to form the model solid. PROB. VIII. — Through a given point to draw a line perpendicular to a given plane. A line drawn 'through the plan of the point perpendicular to the horizontals of the plane will be the... | |
 | Isaac Hammond Morris - Geometry, Plane - 1890 - 440 pages
...may be easily followed from the figure. The lettering is the same as in Case 2. PROBLEM 40. — From a given point to draw a line perpendicular to a given plane. The projections of a line which is perpendicular to a plane are perpendicular to the traces of that... | |
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