Practical geometry for the architect, engineer, surveyor and mechanic |
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Page xv
... fixed axis . • 175. To draw the tangent at various points of the foregoing spiral . 176. To find points on the spiral whose distance from the pole is proportional to the square of the angle made by the radius- vector with the fixed axis ...
... fixed axis . • 175. To draw the tangent at various points of the foregoing spiral . 176. To find points on the spiral whose distance from the pole is proportional to the square of the angle made by the radius- vector with the fixed axis ...
Page 23
... fixed . Next , from E as a centre , with EC as radius , describe a circle ; and from B as a centre , with B C as radius , draw an arc cutting the last circle in C : join BC . From C as a centre , with CD as radius , describe a circle ...
... fixed . Next , from E as a centre , with EC as radius , describe a circle ; and from B as a centre , with B C as radius , draw an arc cutting the last circle in C : join BC . From C as a centre , with CD as radius , describe a circle ...
Page 29
... fixed point from which it is always at the same distance the fixed point about which the motion takes place is called the centre of the circle , and the curved line thus produced is called the circumference . If a straight line or rod ...
... fixed point from which it is always at the same distance the fixed point about which the motion takes place is called the centre of the circle , and the curved line thus produced is called the circumference . If a straight line or rod ...
Page 34
... fixed at A and B ; then a pencil fixed at its vertex A will mark out the arc AFB as the triangle moves from right to left . So also by making the triangle move from left to right we can trace the arc A C. This method is based on the ...
... fixed at A and B ; then a pencil fixed at its vertex A will mark out the arc AFB as the triangle moves from right to left . So also by making the triangle move from left to right we can trace the arc A C. This method is based on the ...
Page 67
... fixed length . Also in two given circles of different radii , if AT is taken the same length in each , then PT will be proportional to the length of the radii of the circles . On account of this property that by varying the diameter of ...
... fixed length . Also in two given circles of different radii , if AT is taken the same length in each , then PT will be proportional to the length of the radii of the circles . On account of this property that by varying the diameter of ...
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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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