The New Practical Builder And Workmans Companion Containing a Full Display An
The New Practical Builder And Workmans Companion Containing a Full Display An
John B John Blair Deaver
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The same data being given, to find the original of one representation only. Produce I, II, to its vanishing point V ; and draw VO. In the vanishing line take V3 equal to VO. Join 31, 311, which produce to the intersecting points, 1, 2. Then will 1, 2 be the length required of the original I, II. PROBLEM 11. Given the vanishing line, its centre, and distance, with the representation of a line. To find the representation of another line, so that the originals of the two lines shall contain a give...n angle. Let Gl be the vanishing line, O the point of sight, and ab the representation given. Produce ab to its vanishing point, G. Join GO, and make the angle GO1 equal to the given angle, and draw lea, which will be the line required. DEMONSTRATION. This is evident from Def. 14, and from Theor. Ill ; for the radials of two original lines which form an angle, make an angle equal to that of the originals. Then bac is the representation of that angle. PERSPECTIVE. 531 PROBLEM 12. Given the vanishing line, its centre, and distance, with the representation of one side of a triangle, whose species is given.
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