The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Σελίδα 46
... touch a circle when it meets the circle , and being produced , does not cut it . 3. Circles are said to touch one another which meet but do not cut one another . O 4. Straight lines are said to be equally distant from the centre of a ...
... touch a circle when it meets the circle , and being produced , does not cut it . 3. Circles are said to touch one another which meet but do not cut one another . O 4. Straight lines are said to be equally distant from the centre of a ...
Σελίδα 50
... touch another internally , they shall not have the same centre . Let the two circles ABC , CDE touch one another in the point C : they have not the same centre . For if they have , let it be F ; join FC , and draw any straight line FEB ...
... touch another internally , they shall not have the same centre . Let the two circles ABC , CDE touch one another in the point C : they have not the same centre . For if they have , let it be F ; join FC , and draw any straight line FEB ...
Σελίδα 53
... touch another internally , the straight_line which joins their centres , being produced , shall pass through the point of contact . Let the two circles ABC , ADE touch each other in the point A ; and let F be the centre of the circle ...
... touch another internally , the straight_line which joins their centres , being produced , shall pass through the point of contact . Let the two circles ABC , ADE touch each other in the point A ; and let F be the centre of the circle ...
Σελίδα 54
... touch each other externally , the straight line which joins their centres shall pass through the point of contact . Let the two circles ABC , ADE touch each other externally in the point A ; and let F be the centre of the circle ABC ...
... touch each other externally , the straight line which joins their centres shall pass through the point of contact . Let the two circles ABC , ADE touch each other externally in the point A ; and let F be the centre of the circle ABC ...
Σελίδα 55
... touch another on the outside in more than one point : and it has been shown that they cannot touch on the inside in more points than one . Therefore , one circle , etc. Q. E. D. PROPOSITION XIV . THEOR . Equal straight lines in a circle ...
... touch another on the outside in more than one point : and it has been shown that they cannot touch on the inside in more points than one . Therefore , one circle , etc. Q. E. D. PROPOSITION XIV . THEOR . Equal straight lines in a circle ...
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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