Practical Treatise on Gearing |
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Common terms and phrases
12 teeth 24 teeth 30 teeth addenda addendum circle angle increment angle of edge angle of face angle of spiral angular velocity annular gear axes base circle called center angle Chapter circular pitch circumference cone-pitch line continued fraction cosine CURVE GEAR cutting angle cylinder depth of teeth diameter of gear diameter of pitch diametral pitch distance double-curve gears draw lines epicycloidal equal fillet gear cutters gear-cutters grooves inch internal gears involute gears largest pitch diameter line A B line of pressure line of rack Milling Machine multiplied normal pitch number of teeth obtain perpendicular pinion pitch circle pitch line pitch of spiral pitch surface quotient rack teeth radius of pitch right angles screw gear secant shafts side adjacent sine SINGLE-CURVE GEARS small end spiral gears spur gears TABLE OF TOOTH tangent templet thickness of tooth thread tooth faces wheel WHOLE DEPTH whole diameter width worm worm-thread worm-wheel
Popular passages
Page 104 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 111 - VITL, it was stated that the space of an internal gear is the same as the tooth of a spur gear. This applies to involute or single-curve gears as well as to double-curve gears. The sides of teeth in involute internal gears will be hollowing. It, however, has been customary to cut internal gears with spur gear-cutters, a No. 1 cutter generally being used. This makes the teeth sides convex. Special cutters should be made for coarse Special Cut. pitch double-curve gears. In designing internal gears,...
Page 70 - ... circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Page 80 - In Trigonometry, the terms tangent and secant have a more limited meaning, than in Geometry. In both, indeed, the tangent touches the circle, and the secant cuts it.
Page 4 - ... other without slipping. On two fixed centers there can turn only two circles, one circle on each center, in a given relative angular -velocity and touch each other without slipping. Fig. 4 Space. The groove between two teeth is called a space. In cut gears the width of space at pitch line and thickness of tooth at pitch line are equal. The distance between the center of one tooth and the center of the Circular Pitch, next tooth, measured along the pitch line, is the circular pitch ; that is,...
Page 105 - That is, dividing the last divisor by the last remainder, as in finding the greatest Common divisor, the quotients become the denominators of the continued fraction, with unity for numerators. The denominators 25. 2, and so on, are called incomplete quotients, since they are only the entire parts of each quotient. The first expression in the continued fraction is »Ц or 0-04 — a little larger than »•03937.
Page 17 - The reciprocal of a number is 1, divided by that number. Thus the reciprocal of J is 4, because £ goes into 1 four times.
Page 70 - The tangent of an arc is the line which touches it at one extremity, and is terminated by a line drawn from the center through the other extremity. Thus AI is the tangent of the arc AF, or of the angle ACF.
Page 107 - If the leading screw of the lathe isEiampie. 1 to one inch, the change gears will have the ratio of 5 to 127; if 8 to one inch, the ratio will be 8 times as large, or 40 to 127; so that with leading screw 8 to inch, and change gears 40 and 127, we can cut millimeter threads near enough for practical purposes.
Page 18 - P, then, is the diametral pitch corresponding to -J- circular pitch. This means that in a gear of ^ inch circular pitch there are six and twenty-eight one hundredths teeth to every inch in the diameter of the pitch circle. In the table of tooth parts the diametral pitches corresponding to circular pitches are carried out to four places of decimals...