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 xli
... triangle , and a line be drawn from the vertical angle to the centre of the inner , and ... angles . 32. If two equal lines touch two unequal circles , and from the ... f drawn through the centre of its inscribed circle , and CONTENTS . xli.
... triangle , and a line be drawn from the vertical angle to the centre of the inner , and ... angles . 32. If two equal lines touch two unequal circles , and from the ... f drawn through the centre of its inscribed circle , and CONTENTS . xli.
Side 2
... angles to AB ; any point D is at equal distances from A and B. A Join AD , DB . Since AC = CB and CD is common , and ... F. It will be the line re- quired . For the angle EAD is equal to the angle FAD , the angles at D right angles , and ...
... angles to AB ; any point D is at equal distances from A and B. A Join AD , DB . Since AC = CB and CD is common , and ... F. It will be the line re- quired . For the angle EAD is equal to the angle FAD , the angles at D right angles , and ...
Side 3
... F draw FE at right angles to AB meet- ing CD in E , E is the point required . Join AE , EB . Since AF FB , and FE is common , and the angles at F are right angles , therefore AE = EB . F с E B B ( 5. ) From two given points on the same ...
... F draw FE at right angles to AB meet- ing CD in E , E is the point required . Join AE , EB . Since AF FB , and FE is common , and the angles at F are right angles , therefore AE = EB . F с E B B ( 5. ) From two given points on the same ...
Side 6
Miles Bland. EF . The triangles ACE , DFC , having each a right angle , and ... F , then will EF be bisected in P .. = A B E D P FC For since DP is parallel ... angles at E equal , as also the angles PDE , EAF , ( Eucl . i . 39. ) P E B ...
Miles Bland. EF . The triangles ACE , DFC , having each a right angle , and ... F , then will EF be bisected in P .. = A B E D P FC For since DP is parallel ... angles at E equal , as also the angles PDE , EAF , ( Eucl . i . 39. ) P E B ...
Side 10
... angle . In CA take any point A , and on CA describe an equilateral triangle ACD , and bisect the angle DCA by the straight line CE ; the angles ... F. E F B Because ED is parallel to AC , the angle EDA = DAC = DAE and therefore AE = ED . For ...
... angle . In CA take any point A , and on CA describe an equilateral triangle ACD , and bisect the angle DCA by the straight line CE ; the angles ... F. E F B Because ED is parallel to AC , the angle EDA = DAC = DAE and therefore AE = ED . For ...
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