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
... rectangle contained by these two limes is equal to the given parallelogram . 18. To divide a parallelogram into two parts which shall have a given ratio , by a line drawn parallel to a given line . 19. To bisect a trapezium by a line ...
... rectangle contained by these two limes is equal to the given parallelogram . 18. To divide a parallelogram into two parts which shall have a given ratio , by a line drawn parallel to a given line . 19. To bisect a trapezium by a line ...
Side xxvi
... rectangle contained by their segments may be equal . 47. If the sides , or sides produced , of a triangle be cut by any line ; the solids formed by the segments which have not a common extremity are equal . 48. If through any point ...
... rectangle contained by their segments may be equal . 47. If the sides , or sides produced , of a triangle be cut by any line ; the solids formed by the segments which have not a common extremity are equal . 48. If through any point ...
Side xxvii
... rectangle contained by the given line and one segment . COR . 1. To produce the line , so that the rectangle contained by the whole line and the part produced may be equal to the rectangle contained by two given lines . COR . 2. To ...
... rectangle contained by the given line and one segment . COR . 1. To produce the line , so that the rectangle contained by the whole line and the part produced may be equal to the rectangle contained by two given lines . COR . 2. To ...
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 ...
Side xxix
... rectangle contained by the perpendiculars let fall upon it from the other two , may be equal to a given square . 23. A given straight line being divided into two parts ; to cut off a part which shall be a mean proportional between the ...
... rectangle contained by the perpendiculars let fall upon it from the other two , may be equal to a given square . 23. A given straight line being divided into two parts ; to cut off a part which shall be a mean proportional between the ...
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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