Mechanical Drawing And Practical Drafting

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SI'Z BT 86 PLATE 60. THE CYCLOID.
If a mark was made upon the circumference of a circle at the exact point of contact with a plane, the mark, as the circle revolved along the plane, would follow a curve called the cycloid.
To generate this curve, draw any circle, as D E F, and divide its circumference into any number of equal parts (in this case use twelve). Draw a straight line tangent to the circle at F, and on it lay off six divisions, each equal to a division of the circle. From a, b, c, d,
... e, and f draw perpendiculars cutting the center line of the circle. Taking these points as centers, swing arcs. On these arcs lay a-6 equals one division of the circle; b-7 equals two divisions; and so on until point 11 is obtained. Connect the points to obtain the curve. Draw the circle DEF two inches in diameter.
THE ARCHIMEDEAN SPIRAL The spiral is a curve which makes one or more revolutions round a fixed point, but does not return to itself.
To construct the Archimedean Spiral, draw any circle and divide it into any number of equal parts.


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