This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1871 Excerpt: ...I. For the easier description of these teeth, Professor Willis has invented the odontograph, a simple instrument of graduated card or wood, by which the position of the centres and radii of the arcs of the teeth can very easily be found. This instrument is of the form shown in fig. 101, of half its proper lineal ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1871 Excerpt: ...I. For the easier description of these teeth, Professor Willis has invented the odontograph, a simple instrument of graduated card or wood, by which the position of the centres and radii of the arcs of the teeth can very easily be found. This instrument is of the form shown in fig. 101, of half its proper lineal dimensions. It has the bottom edge bevelled off at an angle of 75. The point where this would cut the right-hand edge is the zero of the scales. These scales are graduated to twentieths of an inch, to avoid fractional parts in the tables, and depart in each direction from the zero, the upper being that employed in finding the centres of the flanks of the teeth or parts within the pitch circle, and the lower for finding the centres of the faces of the teeth or parts without the pitch circle. Tables are given on the odontograph for finding the graduation on the scale corresponding to any given pitch and number of teeth. For intermediate pitches, not given in the table, or for wheels of greater size, the corresponding numbers can be found by simple proportion. For wheels of only twelve teeth the flanks are straight/and form parts of radii of the pitch circle. In fig. 102, let A be the centre of a wheel, K dh the pitch line. Set off K L equal to the pitch, and Professor Willis's Odontograph may be obtained of Messrs. Holtzapfel of London. bisect it in d. Draw radii A K, A L. Place the odontograph with its bevelled edge on the radius A K, and zero of the scale on the pitch line. Then look out in the table of centres for the flanks of teeth, the number corresponding to the pitch, and required number of teeth, and mark off this point A, Fig. 102. from the scale of centres for the flanks of teeth. Then remove the odontograph, and similarly place it on the r...
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