The object of the papers is to consider two modes of representing points and lines on a spherical surface by points and lines on a plane: one method being by orthogonal projection, and the other by stereographic projection. The authors consider that students of spherical trigonometry ought to ...
Projecting a right angle If one of the sides of a right angle is parallel to one of the projection planes, the (orthogonal) projection of the angle on that plane is also a right angle. It is possible to prove this theorem by considering the scalar products of the vectors BA→ and BC...
orthogonal projection n. The two-dimensional graphic representation of an object formed by the perpendicular intersections of lines drawn from points on the object to a plane of projection. Also calledorthographic projection. American Heritage® Dictionary of the English Language, Fifth Edition. Copyrig...
译文示例:‘Surface of the loading aperture’ means the greatest surface of the orthogonal projection on a vertical plane, perpendicular to the centreline of the vehicle, of the maximum aperture permitted when the rear door(s) or tailgate is (are) wide open; ↔ Ciallaíonn “dromchla na ...
The object of the papers is to consider two modes of representing points and lines on a spherical surface by points and lines on a plane: one method being by orthogonal projection, and the other by stereographic projection. The authors consider that students of spherical trigonometry ought to be...
Editor’s Choice articles are based on recommendations by the scientific editors of MDPI journals from around the world. Editors select a small number of articles recently published in the journal that they believe will be particularly interesting to readers, or important in the respective research ...
Let L:R3→R3 be the orthogonal projection onto the plane x + y − z = 0. Use eigenvalues and eigenvectors to find the matrix representation of L with respect to the standard basis. ⋆10. Let L:R3→R3 be the orthogonal reflection through the plane 2x − 3y + z = 0. Use eigen...
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The optimal projection space is the eigenvector corresponding to the largest eigenvalue of the overall image distribution matrix G, where the vector in the optimal projection space X here is a normalized normal orthogonal vector, which makes tr([S.sub.x]) maximize. Image Recognition Based on Tw...
Thus the vector a ∙ (b ∧ c) may be thought of as a kind of projection of a into the subspace determined by the vectors b and c. However, it is not an orthogonal projection. To further examine this notion of projection, let unit vectors eˆ1 and eˆ2 be orthogonal. Thus ...