The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Σελίδα 141
... axis of the cylinder . 12. If about a point taken without the plane of a circle a straight line move always touching the circumference of the circle , it generates a conical surface . The portion of it intercepted between the point and ...
... axis of the cylinder . 12. If about a point taken without the plane of a circle a straight line move always touching the circumference of the circle , it generates a conical surface . The portion of it intercepted between the point and ...
Σελίδα 155
... axis , and Aa , Bb , Cc , etc. , the intercepted por- tions of the edges . All these , by the definition of the cylinder , are parallel ; and being between parallel planes , they are equal ( Prop . xv . ) ; and each equal to Ee . Also ...
... axis , and Aa , Bb , Cc , etc. , the intercepted por- tions of the edges . All these , by the definition of the cylinder , are parallel ; and being between parallel planes , they are equal ( Prop . xv . ) ; and each equal to Ee . Also ...
Σελίδα 156
... axis SE ; and let it be cut by a plane in abc ; then abc is a circle . For draw the planes SEA , SEB , etc. , cutting ABC in AE , BE , etc. , and abc in ae , be , etc. Then the parallel planes ABC , abc , being cut by SEA , the lines AE ...
... axis SE ; and let it be cut by a plane in abc ; then abc is a circle . For draw the planes SEA , SEB , etc. , cutting ABC in AE , BE , etc. , and abc in ae , be , etc. Then the parallel planes ABC , abc , being cut by SEA , the lines AE ...
Σελίδα 208
... axis perpendicular to the base cut the cone in AV , BV , and the base in AB . Draw in the plane AVB a line A'B ' , making the angle VA'B ' equal to VAB , meeting AB in D ; and through A'B ' draw a plane perpendicular to the plane AVB ...
... axis perpendicular to the base cut the cone in AV , BV , and the base in AB . Draw in the plane AVB a line A'B ' , making the angle VA'B ' equal to VAB , meeting AB in D ; and through A'B ' draw a plane perpendicular to the plane AVB ...
Σελίδα 218
... axis AA ' , and the several points E , F , G , etc. , and H , K , etc. , A ' draw planes cutting the surface of the sphere in the great circles AEA ' , AFA ' , AGA ' , etc. , AHA ' , AKA ' , etc. Then it may be proved by super ...
... axis AA ' , and the several points E , F , G , etc. , and H , K , etc. , A ' draw planes cutting the surface of the sphere in the great circles AEA ' , AFA ' , AGA ' , etc. , AHA ' , AKA ' , etc. Then it may be proved by super ...
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ABC is equal ABCD adjacent angles angle ABC angle BAC axis bisected centre circle ABC circumference coincide cone construction coordinate planes described Descriptive Geometry diameter dicular dihedral angles draw edges ellipse equal angles equiangular equimultiples given line given point given straight line greater hence horizontal hyperbola inclination intersection join less Let ABC Let the plane line BC lines drawn magnitudes meet multiple orthograph parabola parallel planes parallelogram parallelopiped perpen perpendicular perpendicular to MN plane MN plane of projection plane parallel plane PQ prisms profile angles profile plane projecting plane Prop Q. E. D. PROPOSITION ratio rectangle rectangle contained rectilineal figure remaining angle respectively right angles SCHOLIUM segment sides six right sphere spherical angle tangent THEOR trace triangle ABC trihedral vertex Whence Wherefore