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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Side vi
... draw two straight lines which shall contain a given angle , and be terminated in that line . 17. If from the extremities of any chord in a circle perpendi- culars be drawn , meeting a diameter ; the points of intersection are equally ...
... draw two straight lines which shall contain a given angle , and be terminated in that line . 17. If from the extremities of any chord in a circle perpendi- culars be drawn , meeting a diameter ; the points of intersection are equally ...
Side vii
Miles Bland. points of intersection to the extremities of the diameter , cutting each other , may have a given ratio . 22. From the circumference of a given circle , to draw to a straight line given in position , a line which shall be ...
Miles Bland. points of intersection to the extremities of the diameter , cutting each other , may have a given ratio . 22. From the circumference of a given circle , to draw to a straight line given in position , a line which shall be ...
Side x
... draw a straight line to cut the circle , so that the two perpendiculars drawn from the points of intersection to that diameter which passes through the given point , may together be equal to a given line , not greater than the diameter ...
... draw a straight line to cut the circle , so that the two perpendiculars drawn from the points of intersection to that diameter which passes through the given point , may together be equal to a given line , not greater than the diameter ...
Side xii
... draw a straight line cutting them so that the chords in each circle may be equal to a given line , not greater than the diameter of the smaller circle . 67. To determine a point in the arc of a quadrant , through which if a tangent be ...
... draw a straight line cutting them so that the chords in each circle may be equal to a given line , not greater than the diameter of the smaller circle . 67. To determine a point in the arc of a quadrant , through which if a tangent be ...
Side xiii
... diameter which passes through one extremity ; it will bisect the segment of the chord cut off by the line joining the point of bisection of the arc and the other extremity of the diameter . 73. In a given circle to draw a chord parallel ...
... diameter which passes through one extremity ; it will bisect the segment of the chord cut off by the line joining the point of bisection of the arc and the other extremity of the diameter . 73. In a given circle to draw a chord parallel ...
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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