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 86
Side vii
... side of any point in a circle any number of equal arcs be taken , and the extremities of each pair joined : the sum ... opposite circumference ; the sum of those drawn from the extremities will have to that from the point of bisection ...
... side of any point in a circle any number of equal arcs be taken , and the extremities of each pair joined : the sum ... opposite circumference ; the sum of those drawn from the extremities will have to that from the point of bisection ...
Side xi
... side of a quadrant , and from any point in the quadrantal arc a radius be ... side , from the point in which the chord produced meets the quadrantal arc . 58 ... opposite extremity of a diameter perpendicular to the former . 62. If from ...
... side of a quadrant , and from any point in the quadrantal arc a radius be ... side , from the point in which the chord produced meets the quadrantal arc . 58 ... opposite extremity of a diameter perpendicular to the former . 62. If from ...
Side xvii
... sides ; they are together equal to a perpendicular drawn from any of the angles to the opposite side . 4. If the points of bisection of the sides of a given triangle be joined ; the triangle so formed will be one fourth of the given ...
... sides ; they are together equal to a perpendicular drawn from any of the angles to the opposite side . 4. If the points of bisection of the sides of a given triangle be joined ; the triangle so formed will be one fourth of the given ...
Side xviii
... sides ; these together shall be equal to a perpendicular drawn from either extremity of the base to the opposite side . 12. Of all triangles having the same vertical angle , and whose bases pass through a given point , the least is that ...
... sides ; these together shall be equal to a perpendicular drawn from either extremity of the base to the opposite side . 12. Of all triangles having the same vertical angle , and whose bases pass through a given point , the least is that ...
Side xix
... side is to the perpendicular drawn from its extremity upon the other . 27 ... opposite sides , these lines intersect each other in the same point . 29 ... opposite side ; the angle contained by this line produced , and one of the others ...
... side is to the perpendicular drawn from its extremity upon the other . 27 ... opposite sides , these lines intersect each other in the same point . 29 ... opposite side ; the angle contained by this line produced , and one of the others ...
Indhold
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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