The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Σελίδα 68
... tangent DB . But if DCA does not pass through the centre of the circle ABC , take ( 1. III . ) the centre E , and draw EF perpendicular ( 12. 1. ) to AC , and join EB , EC , ED . And because the straight line EF , which passes through ...
... tangent DB . But if DCA does not pass through the centre of the circle ABC , take ( 1. III . ) the centre E , and draw EF perpendicular ( 12. 1. ) to AC , and join EB , EC , ED . And because the straight line EF , which passes through ...
Σελίδα 71
... tangents drawn from it to a given circle shall contain a given angle . Is this capable of one or more solutions ? 8. If equal chords be drawn in a circle , they will all be tangents to another circle concentric with the former ; and ...
... tangents drawn from it to a given circle shall contain a given angle . Is this capable of one or more solutions ? 8. If equal chords be drawn in a circle , they will all be tangents to another circle concentric with the former ; and ...
Σελίδα 72
... tangents drawn from those points to the circle . 25. If perpendiculars be drawn from any point in the circumfer- ence of a ... tangent AS is of the same length . BOOK IV . DEFINITIONS . 1. A RECTILINEAL figure is 72 EUCLID'S ELEMENTS .
... tangents drawn from those points to the circle . 25. If perpendiculars be drawn from any point in the circumfer- ence of a ... tangent AS is of the same length . BOOK IV . DEFINITIONS . 1. A RECTILINEAL figure is 72 EUCLID'S ELEMENTS .
Σελίδα 180
... tangent to the circle CDP ' and hence every other point B ' than P ' lies without the circle : whence B'D cuts the circle in some point H. Join HC . Then the angles CP'D , CHD are equal , being in the same segment ; and CHD is greater ...
... tangent to the circle CDP ' and hence every other point B ' than P ' lies without the circle : whence B'D cuts the circle in some point H. Join HC . Then the angles CP'D , CHD are equal , being in the same segment ; and CHD is greater ...
Σελίδα 206
... tangent to it . But AB is in the plane AGH , and hence if it meet the sphere in any other point it must be in this plane ; which has been shown to be impossible . 8 2. Let the plane CEDB be perpendiculor to OA and pass through A : it ...
... tangent to it . But AB is in the plane AGH , and hence if it meet the sphere in any other point it must be in this plane ; which has been shown to be impossible . 8 2. Let the plane CEDB be perpendiculor to OA and pass through A : it ...
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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