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 xvii
... triangle perpendiculars be drawn to the sides ; they are together equal to a perpendicular drawn from any of the angles to the opposite side . 4. If the points of bisection of the sides of a given triangle be joined ; the triangle so ...
... triangle perpendiculars be drawn to the sides ; they are together equal to a perpendicular drawn from any of the angles to the opposite side . 4. If the points of bisection of the sides of a given triangle be joined ; the triangle so ...
Side xviii
... triangles having the same vertical angle , and whose bases pass through a given point , the least is that whose base is bisected in the given point . 13. If from the angles at the base of a triangle , perpendiculars be let fall on a ...
... triangles having the same vertical angle , and whose bases pass through a given point , the least is that whose base is bisected in the given point . 13. If from the angles at the base of a triangle , perpendiculars be let fall on a ...
Side xix
Miles Bland. 21. If in two triangles , the vertical angle of the one be equal to ... triangle to draw a line parallel to one of the sides , so that it may be a ... given ratio . 24. If the base of a triangle be produced so that the whole ...
Miles Bland. 21. If in two triangles , the vertical angle of the one be equal to ... triangle to draw a line parallel to one of the sides , so that it may be a ... given ratio . 24. If the base of a triangle be produced so that the whole ...
Side xx
... given line , be drawn to the opposite sides ( produced if necessary ) ; and from any point within , lines be drawn parallel to these , and meeting the sides of the triangle ... angle of a triangle , a XX CONTENTS .
... given line , be drawn to the opposite sides ( produced if necessary ) ; and from any point within , lines be drawn parallel to these , and meeting the sides of the triangle ... angle of a triangle , a XX CONTENTS .
Side xxiv
... triangle is greater than the perimeter of a rectangular parallelogram , which is of the same alti- tude with , and equal to the given triangle . P 28. If from one of the acute angles of a right - angled triangle , a line be drawn to the ...
... triangle is greater than the perimeter of a rectangular parallelogram , which is of the same alti- tude with , and equal to the given triangle . P 28. If from one of the acute angles of a right - angled triangle , a line be drawn to the ...
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 | |
Andre udgaver - Se alle
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