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 29
Side xxii
... distances from the four angles , four other points be taken , one in each side ; the figure con- tained by the straight lines which join them shall also be a square . 11. The sum of the diagonals of a trapezium is xxii CONTENTS .
... distances from the four angles , four other points be taken , one in each side ; the figure con- tained by the straight lines which join them shall also be a square . 11. The sum of the diagonals of a trapezium is xxii CONTENTS .
Side xxiii
... 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 ; the angles subtended by either side at the two opposite angular points shall be equal ...
... 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 ; the angles subtended by either side at the two opposite angular points shall be equal ...
Side xxv
... trapezium are together double the squares of the two lines joining the bisections of the op- posite sides . 37. The squares of the diagonals of a trapezium are together less than the squares of the four sides , by four times the square ...
... trapezium are together double the squares of the two lines joining the bisections of the op- posite sides . 37. The squares of the diagonals of a trapezium are together less than the squares of the four sides , by four times the square ...
Side xxx
... trapezium , which has two sides parallel , into any number of equal parts , by lines drawn parallel to those sides . 36. From one of the angular points of a given square , to draw a line meeting one of the opposite sides and the other ...
... trapezium , which has two sides parallel , into any number of equal parts , by lines drawn parallel to those sides . 36. From one of the angular points of a given square , to draw a line meeting one of the opposite sides and the other ...
Side xxxv
... trapezium being given , two of whose sides are parallel ; to describe on one of those sides another trapezium , having its oppo- site side also parallel to this , one of the angles at the base the same as the former , and the other ...
... trapezium being given , two of whose sides are parallel ; to describe on one of those sides another trapezium , having its oppo- site side also parallel to this , one of the angles at the base the same as the former , and the other ...
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