Machinery’s Handbook, 31st Edition
Index
2917
G ears and gearing
( continued )
G eometry
( continued )
working depth 2207 worm gears 2204, 2270–2273 Zerol bevel 2204 zone factor 2252, 2253 G ears, metric thread on inch lead screw 2183 G eneral Accounting Office 395 G eneral purpose Acme threads 2054–2061 data 2056 designation 2055, 2056 form 2054, 2056, 2063 formulas for diameters 2056 limiting dimensions 2055, 2056–2057, 2063 pitch diameter allowances 2056 thread form 2056, 2063 G enerator shaft keys and keyseats 2556 G eneva wheel 178 G eometric symbols for drawings 623, 624 G eometric dimensioning and tolerancing 625 datum feature 627 material removal required or prohibited 816 mean line 810 relation of surface roughness to tolerances 813 G eometry 42–93 analytic geometry 42–59 circle 49–51 additional formulas 49–51 ellipse 51–54 additional formulas 52–54 equation forms of a line 44–48 changing coordinate systems 46–47 cylindrical coordinates 48 distance between a point and a line 46 parallel lines 45 perpendicular lines 46 point-point form 45 point-slope form 44, 45 slope-intercept form 44, 45 spherical coordinates 47 standard form 45 four-arc oval approximating an ellipse 54 hyperbola 58–59 lines and line segments 43–44 constructions 66–70 progression 39, 41 propositions 61–65 symbols 623–626 ASME 623 ISO 624
analytic geometry
internal division of a line segment 43–44 midpoint of a line segment 43 parabola 57–58 rectangular coordinate system 42 slope of a line 42–43 spheres 55–57 approximate method for finding the area of a surface of revolution 72 area of irregular plane figure 72–73 areas enclosed by cycloidal curves 73 contents of cylindrical tanks at different levels 73–74 Pappus-Guldinus rules 71 prismoidal formula 71 forms of a complex number 59–60 exponential form of a complex number 60 operations on complex numbers 59–60 polar form of a complex number 60 standard (rectangular) form of a complex number 59–60 trigonometric form of a complex number 60 imaginary number 59
area and volume 71–74
complex numbers 59–60
dimensions of plane figures 75–87 acute triangle 76 circle 78 circular ring (annulus) 79 cycloid 79
diagonals of squares and hexagons 87 ellipse 81 hyperbola 81 obtuse triangle 76 parabola 80 parallelogram 75 polygons 78, 81–82 rectangle 75
regular hexagon 77 regular octagon 77 regular polygon 78 right triangle 76 sector of circle 78 sector of circular ring 79 segment of circle 79, 83–85 segment of parabola 80 spandrel or fillet 80 square 75
trapezium 77 trapezoid 77 pure geometry 61
distance between two points 43 external division of a line segment 44
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