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 57
Side ii
... finite straight line harmonically . 20. If a given finite straight line be harmonically divided , and from its extremities and the points of division lines be drawn to meet in any point , so that those from the extremities ii CONTENTS .
... finite straight line harmonically . 20. If a given finite straight line be harmonically divided , and from its extremities and the points of division lines be drawn to meet in any point , so that those from the extremities ii CONTENTS .
Side iii
... 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 and also into two unequal parts , and be produced , so that the part produced may ...
... 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 and also into two unequal parts , and be produced , so that the part produced may ...
Side iv
... divided into any two parts and pro- duced , so that the segments may have the same ratio that the whole line produced has to the part produced , and from the extremities of the given line perpendiculars be erected ; then any line drawn ...
... divided into any two parts and pro- duced , so that the segments may have the same ratio that the whole line produced has to the part produced , and from the extremities of the given line perpendiculars be erected ; then any line drawn ...
Side vii
... divided into an odd number of equal parts , and through the points which are equally distant from the diameter lines be drawn ; the segments of these lines intercepted between radii drawn to the extremities of the most remote , will ...
... divided into an odd number of equal parts , and through the points which are equally distant from the diameter lines be drawn ; the segments of these lines intercepted between radii drawn to the extremities of the most remote , will ...
Side x
... divided at the point of contact , that the radius of the circle is a mean proportional between its segments . 54. Two circles being given in magnitude and position ; to find a point in the circumference of one of them , to which if a ...
... divided at the point of contact , that the radius of the circle is a mean proportional between its segments . 54. Two circles being given in magnitude and position ; to find a point in the circumference of one of them , to which if a ...
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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