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 v
... circle , and be parallel to a chord ; the point of contact will be the middle point of the arc cut off by that chord ... given points to meet on the convex circumference of a given circle ; the sum of those two will be the least , which ...
... circle , and be parallel to a chord ; the point of contact will be the middle point of the arc cut off by that chord ... given points to meet on the convex circumference of a given circle ; the sum of those two will be the least , which ...
Side vi
Miles Bland. 11. If from a point in the circumference of a circle any number of chords be drawn ; the locus of their points of bisection will be a circle . 12. If on the radius of a given semicircle , another semicircle be described ...
Miles Bland. 11. If from a point in the circumference of a circle any number of chords be drawn ; the locus of their points of bisection will be a circle . 12. If on the radius of a given semicircle , another semicircle be described ...
Side vii
... given circle , to draw to a straight line given in position , a line which shall be equal and parallel to a given straight line . 23. The bases of two given circular segments being in the same straight line ; to determine a point in it ...
... given circle , to draw to a straight line given in position , a line which shall be equal and parallel to a given straight line . 23. The bases of two given circular segments being in the same straight line ; to determine a point in it ...
Side x
... diameter which passes through the given point , may together be equal to a given line , not greater than the diameter of the circle . 48. If from each extremity of any number of equal adjacent arcs in the circumference of a circle ...
... diameter which passes through the given point , may together be equal to a given line , not greater than the diameter of the circle . 48. If from each extremity of any number of equal adjacent arcs in the circumference of a circle ...
Side xi
... circle , and from its extremities two straight lines be drawn to any point in the circumference of the semicircle ; the segment of the greater line intercepted between the two ... given point within a given circle to CONTENTS . xi.
... circle , and from its extremities two straight lines be drawn to any point in the circumference of the semicircle ; the segment of the greater line intercepted between the two ... given point within a given circle to CONTENTS . xi.
Indhold
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19 | |
23 | |
25 | |
30 | |
140 | |
146 | |
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154 | |
157 | |
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170 | |
36 | |
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171 | |
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273 | |
295 | |
301 | |
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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