Mechanical Drawing: Prepared for the Use of the Students of the Massachusetts Institute of ...

Cover Mechanical Drawing: Prepared for the Use of the Students of the Massachusetts Institute of ...
Mechanical Drawing: Prepared for the Use of the Students of the Massachusetts Institute of ...
Linus Faunce
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85 To draw the involute of a circle.
Divide the circumference into any nnra- /" ber of equal parts, as at A, B, C, D, etc., and draw radii to these points. At A, B, C, D, etc. draw tangents. Let the curve start at A. On the tangent at B lay ofif a distance from B to 1 equal to one of the parts into which the circumference is di- vided. On the tangent at C lay off a distance equal to two parts to 2. On the tangent at D three parts to 3 ; from E four parts to 4, etc. The curve through these point
...s, 1, 2, 3, 4, etc., is the involute of the circle.
GEOMETRICAL PROBLEMS.
41 Prob. 86. To draw a spiral c&mposed of semicircles^ the radii being in arithmetical progression.
Draw an indefinite line, BAG. On the line take any two points, A and B, as centres.
With A as a centre and radius AB draw a semicircle. With B as a centre and radius BC draw a semicircle, and so on, using A and B as centres, and taking the radii to the end of the diameter of the last-drawn semicircle.
Prob. 87. To draw a spiral composed of semicircles, whose radii shall he in geometrical progression.


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