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 87
Side xxiv
... equiangular pentagon be produced to meet ; 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 ...
... equiangular pentagon be produced to meet ; 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 ...
Side xxvi
... equiangular and equal to the given triangle . 43. If from the angular points of the squares described upon the sides of a right - angled triangle perpendiculars be let fall upon the hypothenuse produced ; they will cut off equal ...
... equiangular and equal to the given triangle . 43. If from the angular points of the squares described upon the sides of a right - angled triangle perpendiculars be let fall upon the hypothenuse produced ; they will cut off equal ...
Side xxxii
... equiangular pentagon , and of the same altitude . 6. To describe an equilateral triangle , equal to a given isosceles triangle . 7. To describe a parallelogram , the area and perimeter of which shall be respectively equal to the area ...
... equiangular pentagon , and of the same altitude . 6. To describe an equilateral triangle , equal to a given isosceles triangle . 7. To describe a parallelogram , the area and perimeter of which shall be respectively equal to the area ...
Side xxxiii
... equiangular pentagon , to inscribe a square . 30. In a given triangle , to inscribe a rhombus , one of whose angles shall be in a given point in the side of the triangle . 31. To inscribe a circle in a given quadrant . 32. To describe a ...
... equiangular pentagon , to inscribe a square . 30. In a given triangle , to inscribe a rhombus , one of whose angles shall be in a given point in the side of the triangle . 31. To inscribe a circle in a given quadrant . 32. To describe a ...
Side xxxv
... intercepted between the circumferences which are concave to each other , will be equal respectively to those of the other between the other circumferences . 58. If the diagonals of an equilateral and equiangular pentagon CONTENTS . XXXV.
... intercepted between the circumferences which are concave to each other , will be equal respectively to those of the other between the other circumferences . 58. If the diagonals of an equilateral and equiangular pentagon CONTENTS . XXXV.
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