Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 297
endicular to the y-Sixis, afact which is also seen by observing that the point lies in thexz plane. Ex 3. The direction cosines of a point are proportional to 3, 4, and 5.What are they ? .345 Ans. V50 VSO V50 Observe that these results may be simplified. Note. — The projection of a given line on… … : M N P Fig. 154. of the parts of that line. — Let the broken line be ACDB,and XX the line on which it is to be projected. Let 6^, 0,, e, be the angles made by AC, CD, DB with XX. Then LP = LM + MN + NP, or, AB cos (9 = AC cos 6^ + CD cos 6., + DB cos 0^. .*., etc. THE POINT 281
Geometry, Analytic
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