Descriptive Geometry |
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... Plane REPRESENTATION . Mongean and Cartesian Systems Equations as Loci . . Representation of a Line . Planes of Affinity and Reflection Analysis of a Line . 5 5 14 18 24 28 30 Lines of a Plane Planes of a Line 33 36 Intersecting Lines ...
... Plane REPRESENTATION . Mongean and Cartesian Systems Equations as Loci . . Representation of a Line . Planes of Affinity and Reflection Analysis of a Line . 5 5 14 18 24 28 30 Lines of a Plane Planes of a Line 33 36 Intersecting Lines ...
Page 28
... plane 3x + 4y + 52 Required : The traces of the plane and the coordinates and projections of the point in the plane whose distances from the H , V , and P ... affinity of the plane 28 DESCRIPTIVE GEOMETRY Planes of Affinity and Reflection.
... plane 3x + 4y + 52 Required : The traces of the plane and the coordinates and projections of the point in the plane whose distances from the H , V , and P ... affinity of the plane 28 DESCRIPTIVE GEOMETRY Planes of Affinity and Reflection.
Page 29
William Herman Kirchner, Henry C. T. Eggers. affinity is called the line of affinity of the plane . The H and V projections of any line of a plane figure , when reduced to the plane of the drawing , meet on a straight line or axis which ...
William Herman Kirchner, Henry C. T. Eggers. affinity is called the line of affinity of the plane . The H and V projections of any line of a plane figure , when reduced to the plane of the drawing , meet on a straight line or axis which ...
Page 30
... planes of reference ( H , V , and P ) and on the planes of affinity and reflection . The analysis of a line consists in visualizing or interpreting from its projections or views the relative position of the line in space . Its position ...
... planes of reference ( H , V , and P ) and on the planes of affinity and reflection . The analysis of a line consists in visualizing or interpreting from its projections or views the relative position of the line in space . Its position ...
Page 33
... plane of affinity , that is , the point of affinity of the line . The trace of the line on the plane of reflection , the point R whose projections are symmetrical with respect to the ground vertical line as an axis , may be determined ...
... plane of affinity , that is , the point of affinity of the line . The trace of the line on the plane of reflection , the point R whose projections are symmetrical with respect to the ground vertical line as an axis , may be determined ...
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Common terms and phrases
affinity and reflection Analytic Solution Analytic Solution.-Let Analytic Solution.-Substituting Analytic Solution.-The auxiliary plane auxiliary view axis co-line co-point common line common perpendicular common point cone D₁ Descriptive Geometry dihedral direction cosines drawn Example.-Given expressed analytically geometry given plane given point Graphic Solution Graphic Solution.-The ground line H plane H projection H trace horizontal plane horizontal trace illustrated in Fig incident plane line AC line q line segment normal oblique obtained orthogonal projection parallel lines parallelopiped piercing point plane figure plane of affinity plane of projection plane of reference plane parallel plane perpendicular points common points of affinity problem profile plane projecting planes rebating reference axes reference planes required angle required distance required plane respectively revolved position solved Supplementary Views surface third angle three planes three points trihedral angles true shape vertical plane vertical projection vertical trace x-axis z-axis ΗΣ
Popular passages
Page 77 - ... (c) The distance between reference points is considered to be the length of the hypotenuse of a right triangle, one side of which is the difference in latitude of the reference points and the other side the difference in longitude of the two reference points, and shall be computed by the method set forth in this paragraph.
Page 103 - PROPOSITION XXIV. THEOREM. 567. The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of the plane. Let BA meet the plane...
Page 149 - Y) the coordinates of its projection by a line parallel to the axis of x on a plane of circular section, the axis of Y coinciding with that of y, and the axis of X lying in the plane of circular section.
Page 30 - Since any two points determine a straight line, a line is usually designated by its two extremities if it has a fixed length. Otherwise any two points of the line may be chosen at random for the purpose of locating the entire line in any other view. In general, the line is read from left to right. Lines in a profile plane are read from front to rear, and, if vertical, are read downward.
Page 123 - A general expression for the stresses on a plane of any orientation in three dimensions can be written in terms of the direction cosines of the normal to the plane and the direction of action of the stress (Sines, 1969).
Page 14 - Slope of a line in terms of the coordinates of two of its points 66 50.
Page 124 - The general form of the equation of the plane Ax + By + Cz + D = 0 may be transformed to the normal form by dividing by the quantity \/A2 + B* + С2.
Page 77 - С are obtained in a similar manner. It will be noted that the В1 Fio.
Page 23 - If in the equation of a plane the coefficients of two of the variables are zero, the plane is parallel to the two corresponding axes or parallel to a plane of reference.
Page 24 - A line may be defined either as the join of two points or as the intersection of two planes.