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 xxiii
... rectangular parallelogram a line be drawn to the opposite side , and from the adjacent angle of the tra- pezium thus formed another be drawn perpendicular to the former ; the rectangle contained by these two limes is equal to the given ...
... rectangular parallelogram a line be drawn to the opposite side , and from the adjacent angle of the tra- pezium thus formed another be drawn perpendicular to the former ; the rectangle contained by these two limes is equal to the given ...
Side xxv
... rectangle contained by its parallel sides . 36. The squares of the diagonals of a 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 ...
... rectangle contained by its parallel sides . 36. The squares of the diagonals of a 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 ...
Side xxvi
... triangle . 43. If from the angular points of the squares described upon the sides of a right - angled triangle ... rectangle contained by their segments may be equal . 47. If the sides , or sides produced , of a triangle be cut by ...
... triangle . 43. If from the angular points of the squares described upon the sides of a right - angled triangle ... rectangle contained by their segments may be equal . 47. If the sides , or sides produced , of a triangle be cut by ...
Side xxvii
... rectangle contained by them may be equal to the square of their difference . 7. If a straight line be divided into any two parts ; to produce it so that the rectangle contained by the whole line so produced and the part produced , may ...
... rectangle contained by them may be equal to the square of their difference . 7. If a straight line be divided into any two parts ; to produce it so that the rectangle contained by the whole line so produced and the part produced , may ...
Side xxviii
... rectangle contained by the other and a given line . 12. A straight line being given in magnitude and position ; to draw to it , from a given point , two lines , whose rectangle shall be equal to a given rectangle , and which shall cut ...
... rectangle contained by the other and a given line . 12. A straight line being given in magnitude and position ; to draw to it , from a given point , two lines , whose rectangle shall be equal to a given rectangle , and which shall cut ...
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