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 |
Fra bogen
Resultater 1-5 af 100
Side xx
... point of intersection of the three lines , to the aforesaid side . 31. In a ... necessary ) ; and from any point within , lines be drawn parallel to these ... points of section to the opposite angles ; the inter- sections of these lines ...
... point of intersection of the three lines , to the aforesaid side . 31. In a ... necessary ) ; and from any point within , lines be drawn parallel to these ... points of section to the opposite angles ; the inter- sections of these lines ...
Side xxvi
Miles Bland. necessary ) of the squares described upon the legs ; they will ... point within a triangle lines be drawn from the angles to cut the opposite ... point within the triangle to the opposite side ; the solid formed by the ...
Miles Bland. necessary ) of the squares described upon the legs ; they will ... point within a triangle lines be drawn from the angles to cut the opposite ... point within the triangle to the opposite side ; the solid formed by the ...
Side xxxix
... point in the diameter meeting one side , the circumference , and the other ... point in the opposite circum- ference , is equal to the two lines together ... necessary ) in geometrical proportion . 18. If on the sides of a triangle ...
... point in the diameter meeting one side , the circumference , and the other ... point in the opposite circum- ference , is equal to the two lines together ... necessary ) in geometrical proportion . 18. If on the sides of a triangle ...
Side 3
... point of a line given in position . Let A and B be the given points , and CD the given straight line . Join AB , and bisect it in F , and from F draw FE at right angles to AB meet- ing CD in E , E is the point required . Join AE , EB ...
... point of a line given in position . Let A and B be the given points , and CD the given straight line . Join AB , and bisect it in F , and from F draw FE at right angles to AB meet- ing CD in E , E is the point required . Join AE , EB ...
Side 5
... point and perpendiculars drawn from two other given points may have a given ratio . Let A and B be the points from ... required . Draw AE parallel to BD , and .. perpendicular to EF . The triangles ACE , DFC , having each Sect . 1. ] 5 ...
... point and perpendiculars drawn from two other given points may have a given ratio . Let A and B be the points from ... required . Draw AE parallel to BD , and .. perpendicular to EF . The triangles ACE , DFC , having each Sect . 1. ] 5 ...
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