A New Century of Inventions Being Designs Descriptions of One Hundred Machine
A New Century of Inventions Being Designs Descriptions of One Hundred Machine
James White
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8 . , = 1/4. 4 plate required. (2) vr, or 1 inch : 11 inches (rad. Of plate rim) : : 26. 8 : ~i = 294. 8 2d. Plate required. But it is plain that the conical face, b C, (common to both wheels) is broader than the supposed cylindrical ones b e and b d : and therefore that the above plates must be made longer (to furnish the said obliquity) in the following proportions, namely : for the wheel O in the ratio of b e to b C ; and for the wheel s in that of b d to b C : that is, these plates should b...e 168 lengthened as the tabular cosines of the angles B A C and D A C to radius (for b e : b C : A : A C; and b d : b C : A D : A CJ Thus then, (1) Cos. 63 27' : radius : : 147-4 (present plate) : required plate a?, ; = e^6^7 7 5 an d (2) Cos. 2633' : radius : : 294. 8 (present plate) : required 1 4- 294. 8 r plate y, - - c Now, by the tables, cosine 2633 / 894, and cosine 63 27 (it's complement) 447, when radius is 1000 : whence di- viding the two equations by r, and substituting these values of cosines 6327 and 2633 we shall find the two quantities x and y, equal.
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