 The angle between a line and a plane is the angle between the line and its projection on the plane; therefore, project the given line on the given plane, pass a plane F1G.  Descriptive Geometry - Page 78by Lawrence Edminster Cutter - 1923 - 244 pagesFull view - About this book
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...them by a straight line. The point where the line pierces the plane is one point of the projection. 6. The angle between a line and a plane is the angle between the line and its projection on the plane. \ 7. The angle between two planes is the angle between two lines, drawn from the same point in their... | |
 | Henry Angel - Geometry, Plane - 1880 - 372 pages
...a line and a plane. (1) When the line is horizontal ; (2) when inclined to both co-ordinate planes. The angle between a line and a plane is the angle between the line and its orthographic projection on that plane, and as such projection is obtained by projectors perpendicular... | |
 | Henry Angel - 1880 - 360 pages
...a line and a plane. (1) When the line is horizontal ; (2) when inclined to both co-ordinate planes. The angle between a line and a plane is the angle between the line and. its orthographic projection on that plane, and as such projection is obtained by projectors perpendicular... | |
 | Joseph Payne (of the Charterhouse.) - Geometry, Solid - 1881 - 234 pages
...divergence between their true dimensions and their geometric projections: The inclination of a line to a plane is the angle between the line and its projection on that plane. o A' Bi Fio. 19. — Inclinations, Traces, and True Length of Line. Traces. — It has... | |
 | David Allan Low - 1884 - 178 pages
...be a right angle and QR will be the projection of PQ on the plane. Bat the inclination of a line to a plane is the angle between the line and its projection on the plane. Therefore the angle PQR is the angle between the given line and plane, and the angle PRQ is a right... | |
 | David Allan Low - Geometry, Descriptive - 1884 - 142 pages
...3. Joining these, the elevation of the triangle is determined. Sale * The inclination of a line to a plane is the angle between the line and its projection on that plane. The traces of a line are the points in which the line, or line produced, meets the co-ordinate... | |
 | Isaac Hammond Morris - Geometry, Plane - 1890 - 440 pages
...find its true length, and its inclinations to the planes of projection. The inclination of a line to a plane is the angle between the line and its projection on that plane. Notes. — 1. In Fig. 2 the angle AB a is the inclination of AB to the HP, because it is... | |
 | John Humphrey Spanton - Geometrical drawing - 1895 - 608 pages
...Join kb'. ak is the HT and Kb' the VT of the plane required. CHAPTER XXVI LINES INCLINED TO PLANES THE angle between a line and a plane is the angle between the line and its projection on the plane. Referring to Fig. 83, let AB represent the line and aB its horizontal projection. ABa will represent... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...in a draw the normal PD, and on b lay off FG = FD. Draw PG. Prove angle ab > aj by §79.] 422. DEF. The angle between a line and a plane is the angle between the line and its projection on the plane. PROPOSITION F. PROBLEM. 423. To draw a common perpendicular to two non-coplanar lines. [Puss a plane... | |
 | Frank Castle - Mathematics - 1899 - 424 pages
...point from the vP ; the distance of the elevation from xy is the distance of the point from the HP Angle between a Line and a Plane is the angle between the line and its projection on the plane. Traces of a Line. — The intersection of a line with the HP is called the horizontal trace of the... | |
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