Practical geometry for the architect, engineer, surveyor and mechanic |
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Page 125
... convolutions about a fixed point called the pole , so that its distance therefrom is continually varying , the curve which ... convolution . The simplest form of spiral is that which is obtained when a thread is unwound from a circular ...
... convolutions about a fixed point called the pole , so that its distance therefrom is continually varying , the curve which ... convolution . The simplest form of spiral is that which is obtained when a thread is unwound from a circular ...
Page 126
... ending , as it consists of an endless series of convolutions , all of which are exactly similar in the same curve , and only differing in actual size or scale . 236 THE INVOLUTE OF THE CIRCLE . 172. To draw 126 PRACTICAL GEOMETRY .
... ending , as it consists of an endless series of convolutions , all of which are exactly similar in the same curve , and only differing in actual size or scale . 236 THE INVOLUTE OF THE CIRCLE . 172. To draw 126 PRACTICAL GEOMETRY .
Page 128
... convolution , we must find the diameter A F of the gene- rating circle or cylinder by taking A F to A C in the ratio ... convolution from A to C. To find points on the second convolution , produce the above- named tangents indefinitely ...
... convolution , we must find the diameter A F of the gene- rating circle or cylinder by taking A F to A C in the ratio ... convolution from A to C. To find points on the second convolution , produce the above- named tangents indefinitely ...
Page 129
... convolution ; bisect each of the 16 angles into which the circle was divided above , and draw the tangents at the ... convolution we have only to proceed as before , by adding 314 to the length of each normal to the first convo- lution ...
... convolution ; bisect each of the 16 angles into which the circle was divided above , and draw the tangents at the ... convolution we have only to proceed as before , by adding 314 to the length of each normal to the first convo- lution ...
Page 130
... . The distance apart , D H , of any two convolutions of this spiral , as measured along the radius - vector , is everywhere the same , being equal to the length S D. 175. To draw the tangent at various points of the. 130 PRACTICAL GEOMETRY ...
... . The distance apart , D H , of any two convolutions of this spiral , as measured along the radius - vector , is everywhere the same , being equal to the length S D. 175. To draw the tangent at various points of the. 130 PRACTICAL GEOMETRY ...
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Common terms and phrases
A B fig arc cutting arch architectural arcs of circles asymptotes axis Bisect the angle circle cutting circle drawn circumference circumscribed common logarithm CONIC SECTIONS Construction contour convolution cube cuts the axis cutting the circle cycloid describe a circle diameter divide draw an arc draw tangents Draw the chords draw the tangent Edition ellipse engineering entasis figure find points fixed axis flexure foci focus given circle given line given point given.-Let inscribed circles intersecting join lemniscate length line A B LUDGATE HILL mean-proportional measure number of equal number of points ovolo parabola perpendicular Plates point of contrary-flexure pole produce PUBLISHED BY LOCKWOOD radii radius of curvature radius-vector Railway ratio required curve right angles right-line scale Scott Burn sides spiral square Tables touch the given trapezium triangle vertex vertical voussoirs
Popular passages
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