Practical Geometry and GraphicsLongmans, Green, 1912 - 448 páginas |
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Página 23
... hyperbola whose foci are the points A and B. FIG . 61 . This locus may be used in solving problems on the drawing of a circle to touch two given circles and to fulfil some other condition . When the given circles are external to one ...
... hyperbola whose foci are the points A and B. FIG . 61 . This locus may be used in solving problems on the drawing of a circle to touch two given circles and to fulfil some other condition . When the given circles are external to one ...
Página 30
... hyperbola , and the parabola . They are plane curves , and they may be defined with reference to their properties as ... hyperbola . A conic is therefore an ellipse , a parabola , or an hyperbola according as the eccentricity is less ...
... hyperbola , and the parabola . They are plane curves , and they may be defined with reference to their properties as ... hyperbola . A conic is therefore an ellipse , a parabola , or an hyperbola according as the eccentricity is less ...
Página 31
... HYPERBOLA F Mil HYPERBOLA R 12 R PARABOLA ELLIPSE ND A X E R E E M FIG . 75 . These In Fig . 75 , three different cases are shown . In the ellipse the eccentricity is 1 : 3 , in the parabola the eccentricity is of course 1 : 1 , and in ...
... HYPERBOLA F Mil HYPERBOLA R 12 R PARABOLA ELLIPSE ND A X E R E E M FIG . 75 . These In Fig . 75 , three different cases are shown . In the ellipse the eccentricity is 1 : 3 , in the parabola the eccentricity is of course 1 : 1 , and in ...
Página 32
... hyperbola has two separate branches each with its own vertex . If A1F1 , measured to the left of A ,, be made equal to AF , and if A , X , measured to the right of A , be made equal to AX , and if X , M , be drawn perpendicular to the ...
... hyperbola has two separate branches each with its own vertex . If A1F1 , measured to the left of A ,, be made equal to AF , and if A , X , measured to the right of A , be made equal to AX , and if X , M , be drawn perpendicular to the ...
Página 33
... HYPERBOLA A ar M1 F In P N u HYPERBOLA -M- FIG . 78 . To determine the positions of the directrices and foci of the conics , draw spheres inscribed in the cone and touching the plane of section . These spheres are represented by the ...
... HYPERBOLA A ar M1 F In P N u HYPERBOLA -M- FIG . 78 . To determine the positions of the directrices and foci of the conics , draw spheres inscribed in the cone and touching the plane of section . These spheres are represented by the ...
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Términos y frases comunes
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 in diameter inches long inches side inclined at 45 isometric projection major axis meet parabola parallel to XY perpendicular picture plane plan and elevation plane containing plane of projection plane of section plane parallel point of intersection 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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 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...
Página 107 - The Arm of a couple is the perpendicular distance between the lines of action of the two forces...
Página 107 - ... forces which tend to turn the body in the opposite direction about the same point.
Página 9 - Similar rectilineal figures are those which have their several angles equal, each to each, and the sides about the equal angles proportionals.
Página 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...