 | Michel Chasles - Cone - 1837 - 564 pages
...relation exists, which we shall now exhibit. 79. The length of the projection of a limited line upon a plane, is equal to the length of the line multiplied by the cosine of the acute angle which it forms with the plane. Let CD (fig. 25.) be the line produced to meet GdK, the... | |
 | John Hymers - Geometry, Analytic - 1848 - 368 pages
...relation exists, which we shall now exhibit. 79. The length of the projection of a limited line upon a plane, is equal to the length of the line multiplied by the cosine of the acute angle which it forms with the plane. Let CD (fig. 25) be the line produced to meet GdK, the plane... | |
 | Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...extremities, and joining these projections bv a straight line. The length of the projection of a straight line is equal to the length of the line multiplied by the cosine of its inclination to the primitive : plane. If the inclination is 0, the line is parallel to the primitive... | |
 | John Mulcahy - Geometry - 1862 - 252 pages
...two right lines, which are also parallel." 2°. " The length of the projection of a finite right line is equal to the length of the line multiplied by the cosine of the angle made by the given line with its projection." A line is evidently equal to its projection when they... | |
 | G. R. Smalley - Mathematics - 1862 - 190 pages
...lines is the line perpendicular to both. 20. The length of the projection of a limited lino upon a plane, is equal to the length of the line multiplied by the cosine of its inclination to the plane. 21 The length of the projection of a limited line upon any other line,... | |
 | William Steadman Aldis - Geometry, Analytic - 1873 - 240 pages
...of xy. Hence we derive the theorem: The projection of a straight line of limited length on a given plane is equal to the length of the line multiplied by the cosine of the angle between the line and plane. 10. If again from P and Q we draw perpendiculars on some fixed line, the... | |
 | Percival Frost - Geometry, Analytic - 1875 - 458 pages
...extremities of the limited line upon the plane. 29. The orthogonal projection of a line upon a plane is the length of the line multiplied by the cosine of the angle of inclination of the line to the, plane. Let PQ be the given line, AB the plane, PM, QN perpendiculars... | |
 | Frederick Anderegg, Edward Drake Roe - Trigonometry - 1896 - 136 pages
...line upon the axis, to that from the term. It will be proved that such projection of a straight line is equal to the length of the line multiplied by the cosine of the angle between the positive directions of the axis and the line. For convenience, projection will be considered... | |
 | William Galt Raymond - Logarithms - 1896 - 518 pages
...bearing of the line, *° BD= CA = l cos a CB = I sin a .East F1o. 63. Therefore the latitude difference is equal to the length of the line multiplied by the cosine of the bearing ; and the longitude difference equals the length of the line multiplied by the sine of the... | |
 | Charles Hamilton Ashton - Geometry, Analytic - 1900 - 290 pages
...a. In the right triangle ABC, 4 AC _ Hence FIG. 4. [5] That is, the projection of a line on an axis is equal to the length of the line multiplied by the...cosine of the angle which the line makes with the axis. The projection, A'B', of a directed line, AB, is evidently a directed line. If a broken line... | |
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The length of the projection of a limited line upon a plane, is equal to the length of the line multiplied by the cosine of the acute angle which it forms with the plane. 
