1982•Journal of Graphic Science of JapanOpen access

Device on a Drafter for Perspective Projection

Eiichi Ohta, Kazuichiro Minami, Tadanori Kanamaru

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Abstract

It is a well-known fact that an object can be projected on two different planes, which are symmetric with respect to one of the straight lines of projection, as mutually congruent images projected by a oblique parallel projection. However, we can not find yet the proof of this fact from a viewpoint of the axonometric projection. The author gives a geometric proof of the above fact, also shows new formulas related to the image plane, the line of projection and the axonometric axes and, moreover, a few of their applications.

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It is a well-known fact that an object can be projected on two different planes, which are symmetric with respect to one of the straight lines of projection, as mutually congruent images projected by a oblique parallel projection. However, we can not find yet the proof of this fact from a viewpoint of the axonometric projection. The author gives a geometric proof of the above fact, also shows new formulas related to the image plane, the line of projection and the axonometric axes and, moreover, a few of their applications.

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Available abstract

It is a well-known fact that an object can be projected on two different planes, which are symmetric with respect to one of the straight lines of projection, as mutually congruent images projected by a oblique parallel projection. However, we can not find yet the proof of this fact from a viewpoint of the axonometric projection. The author gives a geometric proof of the above fact, also shows new formulas related to the image plane, the line of projection and the axonometric axes and, moreover, a few of their applications.

Key concepts: Oblique projection, Graphical projection, Parallel projection, Projection (relational algebra), Projection plane, Oblique case, Geometry, Plane (geometry)

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