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
... a given point , to draw a straight line so that the parts of it intercepted between that point and perpendiculars drawn from two other given points may have a given ratio . a 9. From a given point between two indefinite straight lines.
... a given point , to draw a straight line so that the parts of it intercepted between that point and perpendiculars drawn from two other given points may have a 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
... 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 perpendicular to the bisecting line ; it will be harmonically divided . 22. If from a given point ...
... 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 perpendicular to the bisecting line ; it will be harmonically divided . 22. If from a given point ...
Side iv
Miles Bland. line joining these latter points may be equal to a given line , and their respective distances from the ... point of section , meeting these perpendiculars , will be divided at that point into parts which have the same ratio ...
Miles Bland. line joining these latter points may be equal to a given line , and their respective distances from the ... point of section , meeting these perpendiculars , will be divided at that point into parts which have the same ratio ...
Side v
... given points to meet on the convex circumference of a given circle ; the sum of those two will be the least , which make equal angles with the tangent at the point of concourse . 4. If a ... a point in the circumference of a CONTENTS .
... given points to meet on the convex circumference of a given circle ; the sum of those two will be the least , which make equal angles with the tangent at the point of concourse . 4. If a ... a point in the circumference of a CONTENTS .
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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