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 i
... line . 3. Through a given point , to draw a straight line which shall make equal angles with two straight lines given in position . 4. From two given points , to draw two equal straight lines , which shall meet in the same point of a line ...
... line . 3. Through a given point , to draw a straight line which shall make equal angles with two straight lines given in position . 4. From two given points , to draw two equal straight lines , which shall meet in the same point of a line ...
Side ii
... draw a line which shall be terminated by the given lines , and bisected in the given point . 10. From a given point without two indefinite straight lines given in position , to draw a line such that the parts intercepted by the point and ...
... draw a line which shall be terminated by the given lines , and bisected in the given point . 10. From a given point without two indefinite straight lines given in position , to draw a line such that the parts intercepted by the point and ...
Side iv
Miles Bland. line joining these latter points may be equal to a given line ... draw two straight lines which shall contain a given angle , and meet two ... draw , from a given point without them , a straight line which shall cut the given line ...
Miles Bland. line joining these latter points may be equal to a given line ... draw two straight lines which shall contain a given angle , and meet two ... draw , from a given point without them , a straight line which shall cut the given line ...
Side vi
... line , a circle may be described ; but no other circle can pass through the same points . 16. From two given points on the same side of a line given in position , to draw two straight lines which shall contain a given angle , and be ...
... line , a circle may be described ; but no other circle can pass through the same points . 16. From two given points on the same side of a line given in position , to draw two straight lines which shall contain a given angle , and be ...
Side x
... line . 47. Through a given point without a given circle , to draw a straight line to cut the circle , so that the two perpendiculars drawn from the points of intersection to that diameter which passes through the given point , may ...
... line . 47. Through a given point without a given circle , to draw a straight line to cut the circle , so that the two perpendiculars drawn from the points of intersection to that diameter which passes through the given point , may ...
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