A graduated course of problems in practical plane and solid geometry |
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Página 199
... pyramid , sphere , cone , and cylinder . ( 1. ) " A cube is a solid figure contained by six equal squares " ( Euc . XI . , Def . 25 ) . ( 2. ) " A prism is a solid figure contained by plane figures , of which two that are opposite are ...
... pyramid , sphere , cone , and cylinder . ( 1. ) " A cube is a solid figure contained by six equal squares " ( Euc . XI . , Def . 25 ) . ( 2. ) " A prism is a solid figure contained by plane figures , of which two that are opposite are ...
Página 204
... pyramid , its elevation being given . Let A'B'C'D'E ' be the elevation of a hexagonal pyramid . It is required to find its plan . First , from C ' draw a projector CC perpendicular 204 PRACTICAL SOLID GEOMETRY .
... pyramid , its elevation being given . Let A'B'C'D'E ' be the elevation of a hexagonal pyramid . It is required to find its plan . First , from C ' draw a projector CC perpendicular 204 PRACTICAL SOLID GEOMETRY .
Página 205
... pyramid . Next , from B ' drop a perpendicular to xy , and from C , with CD as radius , describe an arc cutting the perpendicular last drawn in B. Join B and C , and it will be the plan of the side edge B'C ' . Again , from E ' , drop a ...
... pyramid . Next , from B ' drop a perpendicular to xy , and from C , with CD as radius , describe an arc cutting the perpendicular last drawn in B. Join B and C , and it will be the plan of the side edge B'C ' . Again , from E ' , drop a ...
Página 209
... pyramid , having an infinite number of faces . Problem 19 . To find the elevation of a cone , its plan being given . Let ABC be the plan of a cone . It is required to find its elevation . From the point A , draw a line at right angles ...
... pyramid , having an infinite number of faces . Problem 19 . To find the elevation of a cone , its plan being given . Let ABC be the plan of a cone . It is required to find its elevation . From the point A , draw a line at right angles ...
Página 233
... pyramid when one edge of its base is inclined at an angle of 45 ° . Take a straight line A'B ' , and let it be ... pyramid . To find the plan of the pyramid ; from F " , the vertex of the pyramid , draw FF , and set off from F , FG equal ...
... pyramid when one edge of its base is inclined at an angle of 45 ° . Take a straight line A'B ' , and let it be ... pyramid . To find the plan of the pyramid ; from F " , the vertex of the pyramid , draw FF , and set off from F , FG equal ...
Términos y frases comunes
altitude angles to xy Atlas axis base BC Pr Bisect the angle bound in cloth circumference cone construct a triangle cube curve cylinder decagon describe a circle describe an arc describe the arc diameter BC distance divide draw a line draw a tangent draw lines edge ellipse equal circles equal in area equilateral triangle given circle given line given point given square ABCD given straight line given triangle ABC heptagon horizontal plane hyperbola inclined inscribe intersection isosceles triangle Join line BC line CD line of bisection lines parallel Maps mean proportional meeting number of equal octahedron parallel to xy parallelogram pentagon perpendicular to xy Philips plan and elevation PLANE GEOMETRY plane of projection point F points of division prism Problem projectors pyramid radii radius rectangle rectilineal figure regular polygon represent required circle rhombus right angles semicircle SOLID GEOMETRY square pyramid trapezium vertical plane
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Página 193 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed. If the fixed side be equal to the other side containing the right angle, the cone is called a right-angled cone ; if it be less than the other side, an obtuse-angled ; and if greater, an acute-angled cone. XIX. The axis of a cone is the fixed straight line about which the triangle revolves.
Página 123 - A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less.