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 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
... angle perpendicular to the bisecting line ; it will be harmonically divided . 22. If from a given point there be drawn three straight lines fortning angles less than right angles , and from another given point without them a line be ...
... angle perpendicular to the bisecting line ; it will be harmonically divided . 22. If from a given point there be drawn three straight lines fortning angles less than right angles , and from another given point without them a line be ...
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 ... angle , and be terminated in that line . 17. If from the extremities of any ... given circle to place a straight line parallel to a given straight line , and ...
... given semicircle , another semicircle be described , and from the extremity ... angle , and be terminated in that line . 17. If from the extremities of any ... given circle to place a straight line parallel to a given straight line , and ...
Side vii
... given angle , the part intercepted between the circumferences of the circles may be equal to a given line . 24. If two chords of a given circle intersect each other , the angle of their inclination is equal to half the angle at the ...
... given angle , the part intercepted between the circumferences of the circles may be equal to a given line . 24. If two chords of a given circle intersect each other , the angle of their inclination is equal to half the angle at the ...
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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