Treatise On Plane And Solid Geometry ... Written for the Mathematical Course of Joseph Ray, M.D.

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84 ELEMENTS OF GEOMETRY.
] 7. If two circumferences cut each other, and from either point of intersection a diameter be made in each, the extremities of these diameters and the other point of intersection are in the same straight line.
18. If any straight line joining two parallel lines be bisected, any other line through the point of bisection and joining the two parallels, is also bisected at that point.
.19. If two circumferences are concentric, a line which is a chord of the one and a tange
...nt of the other, is bisected at the point of contact.
20. If a circle have any number of equal chords, what is the locus of their points of bisection?
21. If any point, not the center, be taken in a diameter of a circle, of all the chords which can pass through that point, that one is the least which is at right angles to the diameter.
22. If from any point there extend two lines tangent to a circumference, the angle contained by the tangents is double the angle contained by the line joining the points of contact and the radius extending to one of them.


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