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 vi
... semicircle , another semicircle be described , and from the extremity of the diameters any lines be drawn cutting the circumferences , and produced , so that the part produced may always have a given ratio to the part intercepted ...
... semicircle , another semicircle be described , and from the extremity of the diameters any lines be drawn cutting the circumferences , and produced , so that the part produced may always have a given ratio to the part intercepted ...
Side vii
... semicircle be divided into an odd number of equal parts , and through the points which are equally distant from the diameter lines be drawn ; the segments of these lines intercepted between radii drawn to the extremities of the most ...
... semicircle be divided into an odd number of equal parts , and through the points which are equally distant from the diameter lines be drawn ; the segments of these lines intercepted between radii drawn to the extremities of the most ...
Side ix
... semicircle a straight line be drawn in it , equal to the radius , and from the centre a perpendicular let fall upon it and produced to the circumference ; it will be a mean proportional between the lines drawn from the point of ...
... semicircle a straight line be drawn in it , equal to the radius , and from the centre a perpendicular let fall upon it and produced to the circumference ; it will be a mean proportional between the lines drawn from the point of ...
Side xi
... semicircle , is equal to the perpendicular let fall from the same point on their common tangent . COR . Any chord of the semicircle drawn from the centre of the quadrant is equal to the perpendicular drawn to the other side , from the ...
... semicircle , is equal to the perpendicular let fall from the same point on their common tangent . COR . Any chord of the semicircle drawn from the centre of the quadrant is equal to the perpendicular drawn to the other side , from the ...
Side xiv
... semicircle , a per- pendicular be drawn , meeting the circumference , and on it as a diameter a circle be described , to the centre of which a line is drawn from the farther extremity of the diameter of the semicircle , cutting its ...
... semicircle , a per- pendicular be drawn , meeting the circumference , and on it as a diameter a circle be described , to the centre of which a line is drawn from the farther extremity of the diameter of the semicircle , cutting its ...
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