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 xii
... base ; and from the greater segment of the base and arc , parts be cut off respectively equal to the less ; the remaining part of the base shall be equal to the chord of the remaining arc . 72. If from the point of bisection of any arc ...
... base ; and from the greater segment of the base and arc , parts be cut off respectively equal to the less ; the remaining part of the base shall be equal to the chord of the remaining arc . 72. If from the point of bisection of any arc ...
Side xvii
... base and the latter , 7. If from the extremity of the base of an isosceles triangle , a line equal to one of the sides be drawn to meet the opposite side ; the angle formed by this line and the base produced is equal to three times ...
... base and the latter , 7. If from the extremity of the base of an isosceles triangle , a line equal to one of the sides be drawn to meet the opposite side ; the angle formed by this line and the base produced is equal to three times ...
Side xviii
... 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 whose base is bisected in the given point . 13. If from the angles at the base of a ...
... 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 whose base is bisected in the given point . 13. If from the angles at the base of a ...
Side xix
... base of the latter ; the sides about the third angle of the former shall be proportional to those about the interior angle at the base of the latter . 22. In a given triangle to draw a line parallel to one of the sides , so that it may ...
... base of the latter ; the sides about the third angle of the former shall be proportional to those about the interior angle at the base of the latter . 22. In a given triangle to draw a line parallel to one of the sides , so that it may ...
Side xx
... base . 34. If from any point in one side of a triangle , two lines be drawn , one to the opposite angle , and the other parallel to the base , and the former intersect a line drawn from the vertex bisecting the base ; this point of ...
... base . 34. If from any point in one side of a triangle , two lines be drawn , one to the opposite angle , and the other parallel to the base , and the former intersect a line drawn from the vertex bisecting the base ; this point of ...
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