The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Σελίδα 30
... intersection , and any line drawn through their intersection bisects the parallelogram . 8. If through the middle of a line intercepted between two parallel lines , any other line be drawn terminating in those parallels , then this line ...
... intersection , and any line drawn through their intersection bisects the parallelogram . 8. If through the middle of a line intercepted between two parallel lines , any other line be drawn terminating in those parallels , then this line ...
Σελίδα 68
... intersection of the straight lines AC , DB , draw the diameter GEFH : And because the rectangle AE , EC is equal , as has been shown , to the rectangle GE , EH ; and , for the same reason , the rectangle BE , ED is equal to the same ...
... intersection of the straight lines AC , DB , draw the diameter GEFH : And because the rectangle AE , EC is equal , as has been shown , to the rectangle GE , EH ; and , for the same reason , the rectangle BE , ED is equal to the same ...
Σελίδα 70
... intersection may be , provided it be within the circle ; ; ( b . ) The difference will be the same wherever the point of intersection be taken without the circle ; ( c , d . ) State and prove the converses . 3. Two triangles ABC , A'B'C ...
... intersection may be , provided it be within the circle ; ; ( b . ) The difference will be the same wherever the point of intersection be taken without the circle ; ( c , d . ) State and prove the converses . 3. Two triangles ABC , A'B'C ...
Σελίδα 71
... intersection of the line with the circles will be parallel . 14. Through two given points to describe a circle which shall bisect the circumference of a given circle . 15. If all the interior or all the exterior angles of a ...
... intersection of the line with the circles will be parallel . 14. Through two given points to describe a circle which shall bisect the circumference of a given circle . 15. If all the interior or all the exterior angles of a ...
Σελίδα 72
... intersection will be in one line . Is this true when , instead of perpendiculars , lines making any equal angles with them are drawn ? 26. If the three perpendiculars in the last proposition be produced to cut the circle , and the ...
... intersection will be in one line . Is this true when , instead of perpendiculars , lines making any equal angles with them are drawn ? 26. If the three perpendiculars in the last proposition be produced to cut the circle , and the ...
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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