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 |
Fra bogen
Resultater 1-5 af 100
Side v
... circumference . COR . 2. The two straight lines in a circle which join the ex- tremities of two parallel chords are equal to each other . 2. If from a point without a circle two straight lines be drawn to the concave part of the ...
... circumference . COR . 2. The two straight lines in a circle which join the ex- tremities of two parallel chords are equal to each other . 2. If from a point without a circle two straight lines be drawn to the concave part of the ...
Side vi
... circumference ; to determine the locus of the points which divide them in a given ratio . 14. Having given the radius of a circle ; to determine its centre when the circle touches two given lines which are not parallel . 15. Through ...
... circumference ; to determine the locus of the points which divide them in a given ratio . 14. Having given the radius of a circle ; to determine its centre when the circle touches two given lines which are not parallel . 15. Through ...
Side vii
... circumference of a given circle , to draw to a straight line given in position , a line which shall be equal and parallel to a given straight line . 23. The bases of two given circular segments being in the same straight line ; to ...
... circumference of a given circle , to draw to a straight line given in position , a line which shall be equal and parallel to a given straight line . 23. The bases of two given circular segments being in the same straight line ; to ...
Side viii
... circumference , will be cut proportionally by the circumference . 35. If two circles touch each other externally , and parallel diameters be drawn ; the straight line joining the extremities of these diameters will pass through the ...
... circumference , will be cut proportionally by the circumference . 35. If two circles touch each other externally , and parallel diameters be drawn ; the straight line joining the extremities of these diameters will pass through the ...
Side ix
... circumference ; it will be a mean proportional between the lines drawn from the point of intersection with the circumference to the extremities of the diameter . 44. If from the extremity of the diameter of a circle , two lines be drawn ...
... circumference ; it will be a mean proportional between the lines drawn from the point of intersection with the circumference to the extremities of the diameter . 44. If from the extremity of the diameter of a circle , two lines be drawn ...
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 | |
Andre udgaver - Se alle
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