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 xxxii
... describe a rectangular parallelogram , which shall be equal to a given square , and have the difference of its ... circle into any number of concentric equal annuli . COR . To divide it into annuli which shall have a given ratio . 12. In any ...
... describe a rectangular parallelogram , which shall be equal to a given square , and have the difference of its ... circle into any number of concentric equal annuli . COR . To divide it into annuli which shall have a given ratio . 12. In any ...
Side xxxiii
... describe on the other sides segments similar to that on the base . 18. If an equilateral triangle be inscribed in a circle ; the square described on a side thereof is equal ... describe a circle , which shall pass through CONTENTS . xxxiii.
... describe on the other sides segments similar to that on the base . 18. If an equilateral triangle be inscribed in a circle ; the square described on a side thereof is equal ... describe a circle , which shall pass through CONTENTS . xxxiii.
Side xxxiv
Miles Bland. 34. To describe a circle , which shall pass through two given points , and touch a given straight line . 35. To describe a circle , the circumference of which shall pass through a given point , and touch a circle in a given ...
Miles Bland. 34. To describe a circle , which shall pass through two given points , and touch a given straight line . 35. To describe a circle , the circumference of which shall pass through a given point , and touch a circle in a given ...
Side xxxv
... circumference of the other . 49. Through two given points without a given circle , to describe a circle which shall cut off from the one , an arc equal to a given arc . 50. To describe three circles of equal diameters , which shall ...
... circumference of the other . 49. Through two given points without a given circle , to describe a circle which shall cut off from the one , an arc equal to a given arc . 50. To describe three circles of equal diameters , which shall ...
Side 28
... describe a circle , to which from A draw a tangent AE . Join BE , and let it cut the given circle in D. Draw AC parallel to BE ; join CD . Then AC being equal and parallel to ED , ACDE 28 [ Sect . 2 . GEOMETRICAL PROBLEMS .
... describe a circle , to which from A draw a tangent AE . Join BE , and let it cut the given circle in D. Draw AC parallel to BE ; join CD . Then AC being equal and parallel to ED , ACDE 28 [ Sect . 2 . GEOMETRICAL PROBLEMS .
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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