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 56
Side i
... position . 4. From two given points , to draw two equal straight lines , which shall meet in the same point of a line given in position . 5. From two given ... given ratio . a 9. From a given point between two indefinite straight lines.
... position . 4. From two given points , to draw two equal straight lines , which shall meet in the same point of a line given in position . 5. From two given ... given ratio . a 9. From a given point between two indefinite straight lines.
Side ii
Miles Bland. 9. From a given point between two indefinite straight lines given in position , to draw a line which shall be terminated by the given lines , and bisected in the given point . 10. From a given point without two indefinite ...
Miles Bland. 9. From a given point between two indefinite straight lines given in position , to draw a line which shall be terminated by the given lines , and bisected in the given point . 10. From a given point without two indefinite ...
Side iii
... given angle , and produced to cut the sides containing that angle , as also a line drawn from the angle ... position , to draw a line to cut the other , so that if from the point of intersection a perpendicular be let fall upon the former , ...
... given angle , and produced to cut the sides containing that angle , as also a line drawn from the angle ... position , to draw a line to cut the other , so that if from the point of intersection a perpendicular be let fall upon the former , ...
Side iv
... given points to draw two straight lines which shall contain a given angle , and meet two lines given in position , so that the parts intercepted between those points and the lines may have a given ratio . 30. The length of one of two ...
... given points to draw two straight lines which shall contain a given angle , and meet two lines given in position , so that the parts intercepted between those points and the lines may have a given ratio . 30. The length of one of two ...
Side vi
... given semicircle , another semicircle be described , and from the extremity of the diameters any lines be drawn ... position , to draw two straight lines which shall contain a given angle , and be terminated in that line . 17. If from ...
... given semicircle , another semicircle be described , and from the extremity of the diameters any lines be drawn ... position , to draw two straight lines which shall contain a given angle , and be terminated in that line . 17. If from ...
Indhold
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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