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 68
Side iii
... let fall upon the former , the seg- ment intercepted between it and the given point together with the first drawn line may be equal to a given line . 26. One of the lines which contain a given angle is also given . To determine a point ...
... let fall upon the former , the seg- ment intercepted between it and the given point together with the first drawn line may be equal to a given line . 26. One of the lines which contain a given angle is also given . To determine a point ...
Side vi
... let fall on any line cutting the semicircle ; the parts intercepted between those perpendiculars and the circumference are equal . 19. In a given circle to place a straight line parallel to a given straight line , and having a given ...
... let fall on any line cutting the semicircle ; the parts intercepted between those perpendiculars and the circumference are equal . 19. In a given circle to place a straight line parallel to a given straight line , and having a given ...
Side ix
... let fall upon it and produced to the circumference ; it will be a mean proportional between the lines drawn from the point of intersection with the circumference to the extremities of the diameter . 44. If from the extremity of the ...
... let fall upon it and produced to the circumference ; it will be a mean proportional between the lines drawn from the point of intersection with the circumference to the extremities of the diameter . 44. If from the extremity of the ...
Side xi
... let fall from the same point on their common 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 ...
... let fall from the same point on their common 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 ...
Side xii
... let fall ; the segment of the diameter intercepted between that perpendicular and chord is to the intercepted part of the tangent as the chord is to the diameter . 69. If a straight line be placed in a circle , and from its ex ...
... let fall ; the segment of the diameter intercepted between that perpendicular and chord is to the intercepted part of the tangent as the chord is to the diameter . 69. If a straight line be placed in a circle , and from its ex ...
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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