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
... drawn bisecting a given straight line , any point in this perpendicular is at equal distances , and any point ... lines given in position . 4. From two given points , to draw two equal straight lines , which shall meet in the same point ...
... drawn bisecting a given straight line , any point in this perpendicular is at equal distances , and any point ... lines given in position . 4. From two given points , to draw two equal straight lines , which shall meet in the same point ...
Side ii
... draw a line such that the parts intercepted by the point and the lines may have a given ratio . 11. From a given point to draw a straight line which shall cut off from lines containing a given angle , segments that shall have a given ...
... draw a line such that the parts intercepted by the point and the lines may have a given ratio . 11. From a given point to draw a straight line which shall cut off from lines containing a given angle , segments that shall have a given ...
Side iii
... 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 containing that angle , as also a line drawn from the angle ...
... 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 containing that angle , as also a line drawn from the angle ...
Side iv
... line perpendiculars be erected ; then any line drawn through 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 ...
... line perpendiculars be erected ; then any line drawn through 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 ...
Side v
... lines in a circle which join the ex- tremities of two parallel chords are equal to each other . 2. If from a point without a circle two straight lines be drawn to the concave part of the circumference , making equal angles with the line ...
... lines in a circle which join the ex- tremities of two parallel chords are equal to each other . 2. If from a point without a circle two straight lines be drawn to the concave part of the circumference , making equal angles with the line ...
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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