図学研究

平行投象の軸測軸に関する研究^*

竹山和彦

1983 年 17 巻 1 号 p. 1-6
発行日: 1983年
公開日: 2010/08/25

DOIhttps://doi.org/10.5989/jsgs.17.1

ジャーナルフリー

抄録を表示する抄録を非表示にする

Parallel projection is classified into orthogonal projection and oblique projection. Therefore, the orthogonal projection and oblique projection must be considered as a whole. In this paper, the author shows a general formula in which the distortion factors belonging to axonometric axes and the angles between any two axonometric axes in an oblique projection are expressed by the direction cosines of the perpendicular of the image plane and the direction cosines of the projecting line. This formula is applicable to the well-known formula in the orthogonal projection as a particular case.
Transformation of an image in parallel projections should be considered as a rotation of the image plane around one of the axes of axonometry. The author also shows a general formula of the axonometric axes which are projected onto any one of the planes holding an axis in common with the original plane. In order to clarify the distortion of an oblique projection from the orthogonal projection, the above-mentioned direction cosines, distortion factors and angles, expressed as the function of the rotation angle of the image plane, are described through the medium of the example on the isometric projection.

抄録全体を表示

PDF形式でダウンロード (404K)
透視図製図機械の研究―両手操作型

太田英一, 南和一郎

1983 年 17 巻 1 号 p. 7-10
発行日: 1983年
公開日: 2010/08/25

DOIhttps://doi.org/10.5989/jsgs.17.7

ジャーナルフリー

抄録を表示する抄録を非表示にする

To draw a perspective, we have to draw many straight lines passing through a vanishing point. If the vanishing point exist outside of the drawing board, it is difficult to draw them without instrument. We devised a drafter useful in such a case. This drafter has two sliding guide ways by both sides of the drawing board. A slider A moves along the right guide way. Two sliders B and C move along the left guide way. The positions of slider A and B are determined by a straight bar which turns round a fixed point inside of the drawing board. The displacements of A and B are in the opposite direction and the ratio of these is constant. The sliders B and C are connected by pulleys and a belt, so their displacements are equal in length and opposite in direction. Then, the displacements of A and C are in the same direction and the ratio of these is constant. The elongation of the straight line connecting the sliders A and C passes through a fixed point outside of the darwing board. Therefore, we can draw many straight lines passing through a vanishing point outside of the drawing board.

抄録全体を表示

PDF形式でダウンロード (2086K)
空間曲線の接触球の中心の投影

池内正幸

1983 年 17 巻 1 号 p. 11-16
発行日: 1983年
公開日: 2010/08/25

DOIhttps://doi.org/10.5989/jsgs.17.11

ジャーナルフリー

抄録を表示する抄録を非表示にする

The purpose of this note is to find an adequate conception of properties of space curve by straightedge and compass methods. The horizontal trace of the osculating plane coincides with the tangent line of the locus which is drawn by the horizontal trace of the tangent line moving along the space curve. The radius of curvature, torsion, and the osculating sphere can be found using the projection of the osculating plane. The projection of the center of the osculating sphere can also be drawn using the projection of the osculating plane.

抄録全体を表示

PDF形式でダウンロード (415K)
射線交会法による正軸測投影図の実用作図法

近藤誠造

1983 年 17 巻 1 号 p. 17-22
発行日: 1983年
公開日: 2010/08/25

DOIhttps://doi.org/10.5989/jsgs.17.17

ジャーナルフリー

PDF形式でダウンロード (380K)
斜軸測図の偏差率と実長

小高司郎

1983 年 17 巻 1 号 p. 23-24
発行日: 1983年
公開日: 2010/08/25

DOIhttps://doi.org/10.5989/jsgs.17.23

ジャーナルフリー

PDF形式でダウンロード (142K)
文献調査報告 (VI)

文献調査委員会

1983 年 17 巻 1 号 p. 25-32
発行日: 1983年
公開日: 2010/08/25

DOIhttps://doi.org/10.5989/jsgs.17.25

ジャーナルフリー

PDF形式でダウンロード (484K)

J-STAGEへの登録はこちら（無料）