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 85
Side v
... tangent at the point of concourse . 4. If a circle be described on the radius of another circle ; any straight line drawn from the point where they meet to the outer cir- cumference , is bisected by the interior one . 5. If two circles ...
... tangent at the point of concourse . 4. If a circle be described on the radius of another circle ; any straight line drawn from the point where they meet to the outer cir- cumference , is bisected by the interior one . 5. If two circles ...
Side vii
... tangents drawn from that point towards the same parts will be equal to the angle contained by lines drawn to the centres . 26. To determine the Arithmetic , Geometric and Harmonic means between two given straight lines . 27. If on each ...
... tangents drawn from that point towards the same parts will be equal to the angle contained by lines drawn to the centres . 26. To determine the Arithmetic , Geometric and Harmonic means between two given straight lines . 27. If on each ...
Side ix
... tangent be drawn to any number of 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 ...
... tangent be drawn to any number of 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 ...
Side x
... tangents is double the angle contained by the line joining the points of contact and the diameter drawn through one of them . 52. If from the extremities of the diameter of a circle tangents be drawn , and produced to intersect a tangent ...
... tangents is double the angle contained by the line joining the points of contact and the diameter drawn through one of them . 52. If from the extremities of the diameter of a circle tangents be drawn , and produced to intersect a tangent ...
Side xi
... tangent . COR . Any chord of the semicircle drawn from the centre of the quadrant is equal to the perpendicular drawn to the other side , from the point in which the chord produced meets the quadrantal arc . 58. If a semicircle be ...
... tangent . COR . Any chord of the semicircle drawn from the centre of the quadrant is equal to the perpendicular drawn to the other side , from the point in which the chord produced meets the quadrantal arc . 58. If a semicircle be ...
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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