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 10
... triangle ABC ; bisect the angles CAB , CBA by the lines AD , BD meeting in D , and draw DE , DF parallel to CA and CB respectively . AB will be trisected in E and F. E F B Because ED is parallel to AC , the angle EDA = DAC = DAE and ...
... triangle ABC ; bisect the angles CAB , CBA by the lines AD , BD meeting in D , and draw DE , DF parallel to CA and CB respectively . AB will be trisected in E and F. E F B Because ED is parallel to AC , the angle EDA = DAC = DAE and ...
Side 92
... triangle is greater than the differ- ence between the other two sides . Let ABC be a triangle ; any of its sides is greater than the difference of the other two . Let AC be greater than AB ; A B and cut off AD = AB ; join BD ; then the ...
... triangle is greater than the differ- ence between the other two sides . Let ABC be a triangle ; any of its sides is greater than the difference of the other two . Let AC be greater than AB ; A B and cut off AD = AB ; join BD ; then the ...
Side 93
... triangle perpendiculars be drawn to the sides ; they are together equal to a perpendicular drawn from any of the angles to the opposite side . From any point D within the ... triangle ABC be bisected in Sect . 3. ] 93 GEOMETRICAL PROBLEMS .
... triangle perpendiculars be drawn to the sides ; they are together equal to a perpendicular drawn from any of the angles to the opposite side . From any point D within the ... triangle ABC be bisected in Sect . 3. ] 93 GEOMETRICAL PROBLEMS .
Side 94
Miles Bland. Let the sides of the triangle ABC be bisected in the points D , E , F ; join DE , EF , FD ; the triangle DEF is one fourth of the triangle ABC . A F E Since AB and AC are bisected in D and F , ( Eucl . vi . 2. ) DF is ...
Miles Bland. Let the sides of the triangle ABC be bisected in the points D , E , F ; join DE , EF , FD ; the triangle DEF is one fourth of the triangle ABC . A F E Since AB and AC are bisected in D and F , ( Eucl . vi . 2. ) DF is ...
Side 95
... triangle and the first drawn line is double of the angle contained by the base and the latter . Let ABC be an isosceles triangle , having the side AB equal to AC . From B draw any line BD , and also BE cutting off DE equal to DB ; the ...
... triangle and the first drawn line is double of the angle contained by the base and the latter . Let ABC be an isosceles triangle , having the side AB equal to AC . From B draw any line BD , and also BE cutting off DE equal to DB ; the ...
Indhold
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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