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 43
Side v
... point of contact will be the middle point of the arc cut off by that chord . COR . 1. Parallel lines placed in a circle cut off equal parts of the circumference . COR . 2. The two straight lines in a circle which join the ex- tremities ...
... point of contact will be the middle point of the arc cut off by that chord . COR . 1. Parallel lines placed in a circle cut off equal parts of the circumference . COR . 2. The two straight lines in a circle which join the ex- tremities ...
Side viii
... point of intersection a circle be described cutting them ; the points where this circle cuts them , and the other ... contact will cut off similar segments . 33. If two circles touch each other externally or internally ; two straight lines ...
... point of intersection a circle be described cutting them ; the points where this circle cuts them , and the other ... contact will cut off similar segments . 33. If two circles touch each other externally or internally ; two straight lines ...
Side ix
... points of intersection and the point of contact are proportional . 40. If three circles , whose diameters are in continued proportion , touch each other internally , and from the extremity of the least diameter passing through the point of ...
... points of intersection and the point of contact are proportional . 40. If three circles , whose diameters are in continued proportion , touch each other internally , and from the extremity of the least diameter passing through the point of ...
Side x
... point without a given circle , to draw a straight line to cut the circle , so that the two perpendiculars drawn from ... contact and the diameter drawn through one of them . 52. If from the extremities of the diameter of a circle tangents be ...
... point without a given circle , to draw a straight line to cut the circle , so that the two perpendiculars drawn from ... contact and the diameter drawn through one of them . 52. If from the extremities of the diameter of a circle tangents be ...
Side xi
... point in the quadrantal arc a radius be drawn , the part of this radius intercepted between the quadrant and ... contact . 63. From a given point within a given circle to CONTENTS . xi.
... point in the quadrantal arc a radius be drawn , the part of this radius intercepted between the quadrant and ... contact . 63. From a given point within a given circle to CONTENTS . xi.
Indhold
1 | |
6 | |
12 | |
17 | |
19 | |
23 | |
25 | |
30 | |
140 | |
146 | |
147 | |
154 | |
157 | |
158 | |
164 | |
170 | |
36 | |
42 | |
43 | |
47 | |
52 | |
58 | |
63 | |
65 | |
69 | |
75 | |
80 | |
86 | |
87 | |
91 | |
92 | |
97 | |
103 | |
109 | |
114 | |
120 | |
126 | |
134 | |
171 | |
177 | |
179 | |
185 | |
191 | |
193 | |
199 | |
203 | |
209 | |
212 | |
218 | |
220 | |
226 | |
232 | |
237 | |
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