Practical Geometry and Graphics |
From inside the book
Results 1-5 of 70
Page 12
... touches the curve , then draw the tangent . This method would not be recognized by the mathematician , but as a practical method it is as good as any other , and much simpler . The exact point of contact must be obtained by some other ...
... touches the curve , then draw the tangent . This method would not be recognized by the mathematician , but as a practical method it is as good as any other , and much simpler . The exact point of contact must be obtained by some other ...
Page 13
... touches is the envelope of the moving curve . Fig . 29 shows the en- velope of a circle which moves so that its centre traces the curve ABC . The evolute of a curve is also the envelope of the normal to the curve . Cusp . If two ...
... touches is the envelope of the moving curve . Fig . 29 shows the en- velope of a circle which moves so that its centre traces the curve ABC . The evolute of a curve is also the envelope of the normal to the curve . Cusp . If two ...
Page 17
... touches the circle , then the tangent may be drawn . The point of contact must , however , be obtained by dropping a perpendicular from the centre of the circle to the tangent . S R The following construction is recommended when the one ...
... touches the circle , then the tangent may be drawn . The point of contact must , however , be obtained by dropping a perpendicular from the centre of the circle to the tangent . S R The following construction is recommended when the one ...
Page 20
... touches each of the three sides . An escribed circle touches one side and the other two sides produced . There are three escribed circles to a triangle . The con- structions for drawing the inscribed and escribed circles are based on ...
... touches each of the three sides . An escribed circle touches one side and the other two sides produced . There are three escribed circles to a triangle . The con- structions for drawing the inscribed and escribed circles are based on ...
Page 21
... touch one another the straight line which joins their centres or that line produced passes through the point of contact . ( 2 ) When two circles touch one another the distance between their centres is equal to either the sum or ...
... touch one another the straight line which joins their centres or that line produced passes through the point of contact . ( 2 ) When two circles touch one another the distance between their centres is equal to either the sum or ...
Other editions - View all
Common terms and phrases
ABCD angular points asymptotes axes bisects centre line chord conic construction crank cylinder described determined diagram distance Draw the plan Draw the traces drawn edge ellipse epicycloid epitrochoid equal equation face figure fixed forces given in Fig given plane given point ground line helix horizontal plane horizontal trace hyperbola hyperboloid hypocycloid hypotrochoid inches inches in diameter inches long inches side inclined at 45 isometric projection major axis meet moulding parabola parallel to XY picture plane plan and elevation plane containing plane of projection plane of section plane parallel position prism pyramid radius rays of light Referring to Fig right angles right circular cone rolling circle semi-minor axis shown in Fig shows simple harmonic motion solid sphere square straight line surface of revolution tangent plane touch tracing paper true length vector velocity vertex vertical plane vertical trace
Popular passages
Page 1 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Page 104 - The magnitude of the moment (generally called the moment) is the product of the magnitude of the force and the perpendicular distance of its line of action from the point or axis.
Page 67 - Cycloid. The cycloid is a curve generated by a point on the circumference of a circle which rolls on a straight line tangent to the circle.
Page 1 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Page 20 - F') ; the diameter drawn through them is called the major axis, and the perpendicular bisector of this diameter the minor axis. It is also defined as the locus of a point which moves so that the ratio of its distance from a fixed point...
Page 107 - The Arm of a couple is the perpendicular distance between the lines of action of the two forces...
Page 107 - ... forces which tend to turn the body in the opposite direction about the same point.
Page 9 - Similar rectilineal figures are those which have their several angles equal, each to each, and the sides about the equal angles proportionals.
Page 182 - A parallelepiped is a prism whose bases are parallelograms. A pyramid is a polyhedron having a polygon for its base, and for its sides it has triangles which have a common vertex, and the sides of the polygon for their bases. The common vertex of the triangles is called the vertex, or apex, of the pyramid. The axis of a prism is a straight line joining the centres of its ends; and the axis of a pyramid is the straight line from its vertex to the centre of its base. A right prism or pyramid has its...