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 100
Side i
... given straight line . 2. If a perpendicular be drawn bisecting a given straight line , any point in this perpendicular is at equal distances , and any point ... given ratio . a 9. From a given point between two indefinite straight lines.
... given straight line . 2. If a perpendicular be drawn bisecting a given straight line , any point in this perpendicular is at equal distances , and any point ... given ratio . a 9. From a given point between two indefinite straight lines.
Side ii
... given in position , to draw a line such that the parts intercepted by the point and the lines may have a given ratio . 11. From a given point to draw a straight line which shall cut off from lines containing a given angle , segments ...
... given in position , to draw a line such that the parts intercepted by the point and the lines may have a given ratio . 11. From a given point to draw a straight line which shall cut off from lines containing a given angle , segments ...
Side iii
... given angle , and produced to cut the sides containing that angle , as also a line drawn from the angle ... ratio that the unequal segments of the line have to each other ; then shall the distances of the point of unequal section from one ...
... given angle , and produced to cut the sides containing that angle , as also a line drawn from the angle ... ratio that the unequal segments of the line have to each other ; then shall the distances of the point of unequal section from one ...
Side iv
... given ratio . 28. If a straight line be divided into any two parts and pro- duced , so that the segments may have the same ratio that the whole line produced has to the part produced , and from the extremities of the given line ...
... given ratio . 28. If a straight line be divided into any two parts and pro- duced , so that the segments may have the same ratio that the whole line produced has to the part produced , and from the extremities of the given line ...
Side vi
... given point without a given circle straight lines be drawn and terminated by the circumference ; to determine the locus of the points which divide them in a given ratio . 14. Having given the radius of a circle ; to determine its centre ...
... given point without a given circle straight lines be drawn and terminated by the circumference ; to determine the locus of the points which divide them in a given ratio . 14. Having given the radius of a circle ; to determine its centre ...
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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