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 x
... right angles to the diameter . 51. If from any point without a circle lines be drawn touching it ; the angle contained by the tangents is double the angle contained by the line joining the points of contact and the diameter drawn ...
... right angles to the diameter . 51. If from any point without a circle lines be drawn touching it ; the angle contained by the tangents is double the angle contained by the line joining the points of contact and the diameter drawn ...
Side xvii
... right - angled triangle , the straight line joining the right angle and the bisection of the hypothenuse is equal to half the hypothenuse . 3. If from any point within an equilateral triangle perpendiculars be drawn to the sides ; they ...
... right - angled triangle , the straight line joining the right angle and the bisection of the hypothenuse is equal to half the hypothenuse . 3. If from any point within an equilateral triangle perpendiculars be drawn to the sides ; they ...
Side xx
... right angle ; and through the point of intersection a line be drawn from one of the acute angles to the opposite side , and the extremity of this line and of the perpendicular be joined ; the locus of its intersection with the line ...
... right angle ; and through the point of intersection a line be drawn from one of the acute angles to the opposite side , and the extremity of this line and of the perpendicular be joined ; the locus of its intersection with the line ...
Side xxiii
... angles from any point within the figure , except from the intersection of the diagonals . 12. Every trapezium is divided by its diagonals into four tri- angles proportional to each other . 13. If two opposite angles of a trapezium be right ...
... angles from any point within the figure , except from the intersection of the diagonals . 12. Every trapezium is divided by its diagonals into four tri- angles proportional to each other . 13. If two opposite angles of a trapezium be right ...
Side xxiv
... angles formed by these lines are together equal to two right angles . 25. If the sides of an equilateral and equiangular hexagon be pro- duced to meet ; the angles formed by these lines are together equal to four right angles . 26. The ...
... angles formed by these lines are together equal to two right angles . 25. If the sides of an equilateral and equiangular hexagon be pro- duced to meet ; the angles formed by these lines are together equal to four right angles . 26. The ...
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