The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Σελίδα
... Ellipse · Hyperbola CONIC SECTIONS . PROJECTION . Definitions and First Principles Orthographic Projection Exercises on Orthographic Projection · 221 • 223 · 227 • 235 240 244 271 DESCRIPTIVE GEOMETRY . Definitions and First Principles ...
... Ellipse · Hyperbola CONIC SECTIONS . PROJECTION . Definitions and First Principles Orthographic Projection Exercises on Orthographic Projection · 221 • 223 · 227 • 235 240 244 271 DESCRIPTIVE GEOMETRY . Definitions and First Principles ...
Σελίδα 221
... ellipse . † 4. The plane which passes through the axis of the cone , and is per- pendicular to the sectional plane , is called the transverse plane . 5. The intersection of the transverse and sectional planes is called the transverse ...
... ellipse . † 4. The plane which passes through the axis of the cone , and is per- pendicular to the sectional plane , is called the transverse plane . 5. The intersection of the transverse and sectional planes is called the transverse ...
Σελίδα 222
... ellipse or hyperbola is called the centre of the curve , and a line drawn through the centre at right angles to that diameter is the conjugate diameter . 7. Any line drawn through the centre of a conic section , and limited by the curve ...
... ellipse or hyperbola is called the centre of the curve , and a line drawn through the centre at right angles to that diameter is the conjugate diameter . 7. Any line drawn through the centre of a conic section , and limited by the curve ...
Σελίδα 227
... ELLIPSE . PROPOSITION I. The squares of the ordinates of the transverse diameter of an ellipse are to one another as the rectangles of their abscissas . As in the parabola , let AVB be the transverse plane , AGIB the sectional plane ...
... ELLIPSE . PROPOSITION I. The squares of the ordinates of the transverse diameter of an ellipse are to one another as the rectangles of their abscissas . As in the parabola , let AVB be the transverse plane , AGIB the sectional plane ...
Σελίδα 228
... ellipse , to which reference is made in Def . 13. The quantity p is constant when AB and ab are given , and is called the parameter of the transverse . Whence this property , the transverse diameter of an ellipse is to its parameter as ...
... ellipse , to which reference is made in Def . 13. The quantity p is constant when AB and ab are given , and is called the parameter of the transverse . Whence this property , the transverse diameter of an ellipse is to its parameter as ...
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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