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 ii
... extremity of this line and of the proportionals will contain equal angles . 16. To trisect a right angle . 17. To trisect a given finite straight line . 18. To divide a given straight line into any number of ... extremities ii CONTENTS .
... extremity of this line and of the proportionals will contain equal angles . 16. To trisect a right angle . 17. To trisect a given finite straight line . 18. To divide a given straight line into any number of ... extremities ii CONTENTS .
Side iii
... 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 produced to cut the sides ...
... 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 produced to cut the sides ...
Side iv
... extremities of the given line perpendiculars be erected ; then any line drawn through the point of section , meeting ... extremities of the segments of the lines drawn from one of the points be in a straight line given in position ; to ...
... extremities of the given line perpendiculars be erected ; then any line drawn through the point of section , meeting ... extremities of the segments of the lines drawn from one of the points be in a straight line given in position ; to ...
Side v
... extremities of these diameters and the other point of intersection shall be in the same straight line . 6. If two circles cut each other , the straight line joining their two points of intersection is bisected at right angles by the ...
... extremities of these diameters and the other point of intersection shall be in the same straight line . 6. If two circles cut each other , the straight line joining their two points of intersection is bisected at right angles by the ...
Side vi
... extremities of any chord in a circle perpendi- culars be drawn , meeting a diameter ; the points of intersection are equally distant from the centre . 18. If from the extremities of the diameter of a semicircle per- pendiculars be let ...
... extremities of any chord in a circle perpendi- culars be drawn , meeting a diameter ; the points of intersection are equally distant from the centre . 18. If from the extremities of the diameter of a semicircle per- pendiculars be let ...
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