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 iii
... segments of the line have to each other ; then shall the distances of the point of unequal section from one ... segment of it which is adjacent to the given angle ; the line so drawn and the other segment of the given line may together ...
... segments of the line have to each other ; then shall the distances of the point of unequal section from one ... segment of it which is adjacent to the given angle ; the line so drawn and the other segment of the given line may together ...
Side iv
... segments may have the same ratio that the whole line produced has to the part produced , and from the extremities of ... segments be cut off having a given ratio ; and the extremities of the segments of the lines drawn from one of the ...
... segments may have the same ratio that the whole line produced has to the part produced , and from the extremities of ... segments be cut off having a given ratio ; and the extremities of the segments of the lines drawn from one of the ...
Side v
... segments of the latter will be to each other , as the dia- meters of the circles . 9. If a straight line touch the interior of two concentric circles , and be placed in the outer ; it will be bisected at the point of contact . 10. If ...
... segments of the latter will be to each other , as the dia- meters of the circles . 9. If a straight line touch the interior of two concentric circles , and be placed in the outer ; it will be bisected at the point of contact . 10. If ...
Side vii
... segments being in the same straight line ; to determine a point in it such , that a line being drawn through it making a given angle , the part intercepted between the circumferences of the circles may be equal to a given line . 24. If ...
... segments being in the same straight line ; to determine a point in it such , that a line being drawn through it making a given angle , the part intercepted between the circumferences of the circles may be equal to a given line . 24. If ...
Side ix
... segments of them within each circle will be equal . 42. If from any point in the diameter of a circle produced , a tangent be drawn ; a perpendicular from the point of contact to the diameter will divide it into segments which have the ...
... segments of them within each circle will be equal . 42. If from any point in the diameter of a circle produced , a tangent be drawn ; a perpendicular from the point of contact to the diameter will divide it into segments which have the ...
Indhold
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30 | |
140 | |
146 | |
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154 | |
157 | |
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164 | |
170 | |
36 | |
42 | |
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52 | |
58 | |
63 | |
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134 | |
171 | |
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273 | |
295 | |
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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