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 75
Side iii
... point without them a line be drawn intersecting the others , so as to be harmonically divided ; then will all lines drawn from that point meeting the three lines be harmonically divided . 23. If a straight line be divided into two equal ...
... point without them a line be drawn intersecting the others , so as to be harmonically divided ; then will all lines drawn from that point meeting the three lines be harmonically divided . 23. If a straight line be divided into two equal ...
Side iv
... point of section , meeting these perpendiculars , will be divided at that point into parts which have the same ratio , that those lines have which are drawn from the extremity of the produced line to the points of intersection with the ...
... point of section , meeting these perpendiculars , will be divided at that point into parts which have the same ratio , that those lines have which are drawn from the extremity of the produced line to the points of intersection with the ...
Side v
... point of contact will be the middle point of the arc cut off by that chord . COR . 1. Parallel lines placed in a ... intersection shall be in the same straight line . 6. If two circles cut each other , the straight line joining their two ...
... point of contact will be the middle point of the arc cut off by that chord . COR . 1. Parallel lines placed in a ... intersection shall be in the same straight line . 6. If two circles cut each other , the straight line joining their two ...
Side vi
... diameter of the circle . 21. From a given point in the diameter of a semicircle produced , to draw a line cutting the semicircle , so that lines drawn from the points of intersection to the extremities of the diameter , vi CONTENTS .
... diameter of the circle . 21. From a given point in the diameter of a semicircle produced , to draw a line cutting the semicircle , so that lines drawn from the points of intersection to the extremities of the diameter , vi CONTENTS .
Side vii
Miles Bland. points of intersection to the extremities of the diameter , cutting each other , may have a given ratio ... point in it such , that a line being drawn through it making a given angle , the part intercepted between the ...
Miles Bland. points of intersection to the extremities of the diameter , cutting each other , may have a given ratio ... point in it such , that a line being drawn through it making a given angle , the part intercepted between the ...
Indhold
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36 | |
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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