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 34
Side xiii
... perpendicular has to the part of it without the circle , the same ratio that the greater segment of the chord has to the less . 77. If from the extremities of any chord of a circle , perpen- diculars to it be drawn and produced to cut a ...
... perpendicular has to the part of it without the circle , the same ratio that the greater segment of the chord has to the less . 77. If from the extremities of any chord of a circle , perpen- diculars to it be drawn and produced to cut a ...
Side xiv
... perpen- diculars be drawn to a diameter , and from either extremity of that diameter a perpendicular be drawn to the chord ; it will divide it into segments , which are respectively mean proportionals between the segments of the ...
... perpen- diculars be drawn to a diameter , and from either extremity of that diameter a perpendicular be drawn to the chord ; it will divide it into segments , which are respectively mean proportionals between the segments of the ...
Side xxxix
... perpendicular is equal to the radius of the circumscribing circle . 10. If a triangle be inscribed in a semicircle , and a perpen- dicular drawn from any point in the diameter meeting one side , the circumference , and the other side ...
... perpendicular is equal to the radius of the circumscribing circle . 10. If a triangle be inscribed in a semicircle , and a perpen- dicular drawn from any point in the diameter meeting one side , the circumference , and the other side ...
Side xl
... perpen- diculars be drawn to the sides of the inscribed triangle ; the three points of intersection will be in the same straight line . 22. The base of a right - angled triangle not being greater than the perpendicular ; if on any line ...
... perpen- diculars be drawn to the sides of the inscribed triangle ; the three points of intersection will be in the same straight line . 22. The base of a right - angled triangle not being greater than the perpendicular ; if on any line ...
Side xliv
... perpen- dicular to it , and on the former a mean proportional be taken between the whole line and the part without the circle ; any other line passing through that extremity of the mean proportional which is within the circle , and ...
... perpen- dicular to it , and on the former a mean proportional be taken between the whole line and the part without the circle ; any other line passing through that extremity of the mean proportional which is within the circle , and ...
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