Two Projections of the line

* Straight line [i]p = KL[/i] is orthogonally projected on to the horizontal plane ABCD and vertical plane CBGH. Determine the necessary condition for adjancent views [math]p_1,p_2[/math].

Move "Orbit" point for rotating model.

Let base line [math]x_{12}[/math] is parallel to both projection planes [math]\pi=ABCD[/math] and [math]\nu=CBGH[/math] . If a line [i]p = KL[/i] is parallel to a projection vertical plane [math]=CBGH[/math] than

[math]p_1=K_1L_1\parallel p_2=K_2L_2[/math] [math]p_2=K_2L_2[/math] is horizontal (parallel to [math]x_{12}[/math]) [math]p_1=K_1L_1[/math] is horizontal (parallel to [math]x_{12}[/math]) [math]p_1=K_1L_1[/math] is vertical (perpendicular to [math]x_{12}[/math])

Let base line [math]x_{12}[/math] is parallel to both projection planes [math]\pi=ABCD[/math] and [math]\nu=CBGH[/math] . If a line [i]p = KL[/i] is parallel to a projection horizontal plane [math]\pi=ABCD[/math] than

[math]p_2=K_2L_2[/math] is horizontal (parallel to [math]x_{12}[/math]) [math]p_1=K_1L_1[/math] is horizontal (parallel to [math]x_{12}[/math]) [math]p_1=K_1L_1[/math] is vertical (perpendicular to [math]x_{12}[/math]) [math]p_1=K_1L_1\parallel p_2=K_2L_2[/math]

Construction 1

A line p is given by adjacent views [i]p2[/i] and [i]p1[/i]. Determine tracing points [i]N[/i], [i]P [/i](intersections with projection planes).

Construction 2

A point [i]A[/i] is given by adjacent views [i]A2[/i] and [i]A1[/i]. Construct horizontal line [i]h[/i] and frontal line [i]f [/i]passing through a point [i]A[/i]. Determine tracing points [i]N[/i], [i]P [/i](intersections with projection planes) of lines [i]h[/i] and [i]f[/i].

Two Projections of the line

Construction 1

Construction 2

Information: Two Projections of the line