Plane and solid geometry, by G.E. Webster and A. Gardiner |
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Side 38
... cone whose surface makes an angle of 30 ° with its base ( that is a cone generated by a triangle whose angle between the base and hypotenuse is 30 ° ) to be standing on the horizontal plane , it can be seen that every line drawn from ...
... cone whose surface makes an angle of 30 ° with its base ( that is a cone generated by a triangle whose angle between the base and hypotenuse is 30 ° ) to be standing on the horizontal plane , it can be seen that every line drawn from ...
Side 41
... cone of 60 ° at the base , and which is a locus ( i.e. , will contain lines answering the requirements of the question ) of all lines lying on the surface of the cone . The construction of the length of the elevation a ' c is the ...
... cone of 60 ° at the base , and which is a locus ( i.e. , will contain lines answering the requirements of the question ) of all lines lying on the surface of the cone . The construction of the length of the elevation a ' c is the ...
Side 43
... cone standing on one plane of projection and just touched by the other , whose traces are required , forming really a tangent plane to the cone . A line is said to be contained by a plane when its extremities are contained by the plane ...
... cone standing on one plane of projection and just touched by the other , whose traces are required , forming really a tangent plane to the cone . A line is said to be contained by a plane when its extremities are contained by the plane ...
Side 44
... cones which measure the inclination of the planes require to be fitted beneath the hori- zontal plane , or beneath the vertical plane for this purpose . Produce h g and take any point a in X Y , from which erect a perpendicular a c to ...
... cones which measure the inclination of the planes require to be fitted beneath the hori- zontal plane , or beneath the vertical plane for this purpose . Produce h g and take any point a in X Y , from which erect a perpendicular a c to ...
Side 44
... cones of which the generatrices make the required angles . These two cones must have their axes meeting in one point upon X Y. They must also have their nearest points on their surfaces to the fixed point on X Y , at equal distances ...
... cones of which the generatrices make the required angles . These two cones must have their axes meeting in one point upon X Y. They must also have their nearest points on their surfaces to the fixed point on X Y , at equal distances ...
Andre utgaver - Vis alle
Plane and Solid Geometry, by G.E. Webster and A. Gardiner George E. Webster,Alfonzo Gardiner Ingen forhåndsvisning tilgjengelig - 2015 |
Plane and Solid Geometry, by G.E. Webster and A. Gardiner George E. Webster,Alfonzo Gardiner Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
altitude angle of 30 apex axis centre co-ordinate planes cone Copy-Books D E parallel describe arc cutting describe circle describe semicircle determine the plan dihedral angle distance divide division draw a b draw lines parallel Draw the plan drop a perpendicular English Grammar equilateral triangle erect a perpendicular F'cap 8vo Geometry given angle given line A B given point given triangle hexagonal hexagonal pyramid horizontal plane horizontal trace inches inclined at 50 Join a b last problem lines drawn mean proportional nonagon number of equal octahedron parallel to X Y parallelogram pentagon pentagonal pyramid perpendicular to X Y plan and elevation plane inclined planes of projection point of intersection Produce a b pyramid regular polygon required line revolved rhombus right angles right-angled triangle sides straight line student tangent tetrahedron triangle A B C true length vertical plane vertical trace
Populære avsnitt
Side 22 - ... similar rectilineal figures are to one another in the duplicate ratio of their homologous sides.
Side 44 - 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.
Side 7 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Side 67 - EXERCISES. 1. Draw a line inclined at 30° and making an angle of 45° with the vertical plane ; and a plane inclined at 50° and making an angle of 65° with the vertical plane, to contain the line. 2. The horizontal trace of a plane makes an angle of 30° with the ground line ; draw the vertical trace on the supposition that the two traces really contain an angle of 65° ; thence determine the angles which this plane makes with both planes of projection.
Side 8 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Side 44 - A parallelepiped is a solid figure contained by six quadrilateral figures, whereof every opposite two are parallel.