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
... cut off by that chord . COR . 1. Parallel lines placed in a circle cut off equal parts of the circumference . COR ... circles cut each other , and from either point of inter- section diameters be drawn ; the extremities of these ...
... cut off by that chord . COR . 1. Parallel lines placed in a circle cut off equal parts of the circumference . COR ... circles cut each other , and from either point of inter- section diameters be drawn ; the extremities of these ...
Side vii
... 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 centre which stands on an arc ... circles cut each other , and CONTENTS . vii.
... 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 centre which stands on an arc ... circles cut each other , and CONTENTS . vii.
Side viii
Miles Bland. 30. If two equal circles cut each other , and from either point of intersection a circle be described cutting them ; the points where this circle cuts them , and the other point of intersection of the equal circles are in ...
Miles Bland. 30. If two equal circles cut each other , and from either point of intersection a circle be described cutting them ; the points where this circle cuts them , and the other point of intersection of the equal circles are in ...
Side ix
Miles Bland. pendiculars to their common diameter be produced to cut the cir ... circles ; this diameter and the lines joining the points of intersection and ... circle be described cutting the others , and from this centre lines be drawn ...
Miles Bland. pendiculars to their common diameter be produced to cut the cir ... circles ; this diameter and the lines joining the points of intersection and ... circle be described cutting the others , and from this centre lines be drawn ...
Side x
... cut the circle , so that the two perpendiculars drawn from the points of ... circles being given in magnitude and position ; to find a point in the ... circles , so that the part of it which is intercepted by the circumference of the ...
... cut the circle , so that the two perpendiculars drawn from the points of ... circles being given in magnitude and position ; to find a point in the ... circles , so that the part of it which is intercepted by the circumference of the ...
Indhold
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19 | |
23 | |
25 | |
30 | |
140 | |
146 | |
147 | |
154 | |
157 | |
158 | |
164 | |
170 | |
36 | |
42 | |
43 | |
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52 | |
58 | |
63 | |
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91 | |
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134 | |
171 | |
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199 | |
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244 | |
249 | |
255 | |
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