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 43
Side v
... in the outer ; it will be bisected at the point of contact . 10. If any number of equal straight lines be placed in a circle ; to determine the locus of their points of bisection . 11. If from a point in the circumference of a CONTENTS .
... in the outer ; it will be bisected at the point of contact . 10. If any number of equal straight lines be placed in a circle ; to determine the locus of their points of bisection . 11. If from a point in the circumference of a CONTENTS .
Side vi
Miles Bland. 11. If from a point in the circumference of a circle any number of chords be drawn ; the locus of their points of bisection will be a circle . 12. If on the radius of a given semicircle , another semicircle be described ...
Miles Bland. 11. If from a point in the circumference of a circle any number of chords be drawn ; the locus of their points of bisection will be a circle . 12. If on the radius of a given semicircle , another semicircle be described ...
Side vii
... point in it such , that a line being drawn through it making a given angle , the part intercepted between the ... bisection of any arc of a circle , lines be drawn to any point in the opposite circumference ; the sum of those drawn from ...
... point in it such , that a line being drawn through it making a given angle , the part intercepted between the ... bisection of any arc of a circle , lines be drawn to any point in the opposite circumference ; the sum of those drawn from ...
Side xii
... point . 64. To determine a point in the arc of a quadrant , from which if lines be drawn to the centre and the point of bisection of the radius , they shall contain the greatest possible angle . 65. If the radius of a circle be a mean ...
... point . 64. To determine a point in the arc of a quadrant , from which if lines be drawn to the centre and the point of bisection of the radius , they shall contain the greatest possible angle . 65. If the radius of a circle be a mean ...
Side xiii
Miles Bland. 72. If from the point of bisection of any arc of a circle a per- pendicular be drawn to the diameter which passes through one extremity ; it will bisect the segment of the chord cut off by the line joining the point of ...
Miles Bland. 72. If from the point of bisection of any arc of a circle a per- pendicular be drawn to the diameter which passes through one extremity ; it will bisect the segment of the chord cut off by the line joining the point of ...
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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