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 i
... line possible to a given straight line . 2. If a perpendicular be drawn bisecting a given straight line , any point in this perpendicular is at equal distances ... given ratio . a 9. From a given point between two indefinite straight lines.
... line possible to a given straight line . 2. If a perpendicular be drawn bisecting a given straight line , any point in this perpendicular is at equal distances ... given ratio . a 9. From a given point between two indefinite straight lines.
Side ii
Miles Bland. 9. From a given point between two indefinite straight lines given in position , to draw a line which shall be terminated by the given lines , and bisected in the given point . 10. From a given point without two indefinite ...
Miles Bland. 9. From a given point between two indefinite straight lines given in position , to draw a line which shall be terminated by the given lines , and bisected in the given point . 10. From a given point without two indefinite ...
Side iii
... line drawn from the extremity of this proportional will bisect the angle formed by the lines drawn from the extremities of the other two . 21. If a straight line be drawn through any point in the line bisecting a given angle , and ...
... line drawn from the extremity of this proportional will bisect the angle formed by the lines drawn from the extremities of the other two . 21. If a straight line be drawn through any point in the line bisecting a given angle , and ...
Side iv
Miles Bland. line joining these latter points may be equal to a given line , and their respective distances from the former points in a given ratio . 28. If a straight line be divided into any two parts and pro- duced , so that the ...
Miles Bland. line joining these latter points may be equal to a given line , and their respective distances from the former points in a given ratio . 28. If a straight line be divided into any two parts and pro- duced , so that the ...
Side vi
... lines be drawn cutting the circumferences , and produced , so that the part produced may always have a given ratio to the part intercepted between the two circumferences ; to determine the locus of the ex- tremities of these lines . 13. If ...
... lines be drawn cutting the circumferences , and produced , so that the part produced may always have a given ratio to the part intercepted between the two circumferences ; to determine the locus of the ex- tremities of these lines . 13. If ...
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