Geometrical problems deducible from the first six books of Euclid, arranged and solved. To which is added, an appendix containing the elements of plane trigonometryJ. Smith, Printer to the University; and sold by Nicholson & Son, Deighton & Sons, Thorpe, and Newby, Cambridge; and J. Mawman, and F. C. & J. Rivington, London., 1819 - 377 sider |
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Resultater 1-5 af 84
Side v
... touch a circle , and be parallel to a chord ; the point of contact will be the middle point of the arc cut off by that chord . COR . 1. Parallel lines placed in a circle cut off equal parts of the circumference . COR . 2. The two ...
... touch a circle , and be parallel to a chord ; the point of contact will be the middle point of the arc cut off by that chord . COR . 1. Parallel lines placed in a circle cut off equal parts of the circumference . COR . 2. The two ...
Side vi
... circle . 12. If on the radius of a given semicircle , another semicircle be described , and from the extremity of ... touches two given lines which are not parallel . 15. Through three given points which are not in the same straight line , a ...
... circle . 12. If on the radius of a given semicircle , another semicircle be described , and from the extremity of ... touches two given lines which are not parallel . 15. Through three given points which are not in the same straight line , a ...
Side viii
... circle whose diameter is the common chord of the equal circles . 32. If two circles touch each other externally or internally ; any straight line drawn through the point of contact will cut off similar segments . 33. If two circles touch ...
... circle whose diameter is the common chord of the equal circles . 32. If two circles touch each other externally or internally ; any straight line drawn through the point of contact will cut off similar segments . 33. If two circles touch ...
Side ix
... circles which touch each other internally , and from any point in this tangent as a centre , a circle be described cutting the others , and from this centre lines be drawn through the intersections of the circles respec- tively ; the ...
... circles which touch each other internally , and from any point in this tangent as a centre , a circle be described cutting the others , and from this centre lines be drawn through the intersections of the circles respec- tively ; the ...
Side x
... circle , to draw a straight line to cut the circle , so that the two ... touching it ; the angle contained by the tangents is double the angle ... circles being given in magnitude and position ; to find a point in the circumference of one ...
... circle , to draw a straight line to cut the circle , so that the two ... touching it ; the angle contained by the tangents is double the angle ... circles being given in magnitude and position ; to find a point in the circumference of one ...
Indhold
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36 | |
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Almindelige termer og sætninger
ABCD angle ABC angles at F base centre chord circle ABC circles cut circles touch circumference describe a circle divided draw a line Draw the diameter drawn parallel duplicate ratio equal angles equiangular Eucl extremities given angle given circle given in position given line given point given ratio given square given straight line given triangle intercepted isosceles triangle Join AE Join BD Let AB Let ABC let fall line given line joining line required lines be drawn lines drawn mean proportional opposite side parallel to BC parallelogram pendicular perpen point of bisection point of contact point of intersection point required radius rectangle rectangle contained right angles segments semicircle shewn tangent touches the circle trapezium triangle ABC