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
... line which shall be terminated by the given lines , and bisected in the given point . 10. From a given point without ... joining the extremity of this line and of the proportionals will contain equal angles . 16. To trisect a right angle ...
... line which shall be terminated by the given lines , and bisected in the given point . 10. From a given point without ... joining the extremity of this line and of the proportionals will contain equal angles . 16. To trisect a right angle ...
Side iii
... line drawn from the 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 ... line joining these latter points may be equal to a CONTENTS .
... line drawn from the 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 ... line joining these latter points may be equal to a CONTENTS .
Side iv
Miles Bland. line joining these latter points may be equal to a given line , and their respective distances from the former points in a given ratio . 28. If a straight line be divided into any two parts and pro- duced , so that the ...
Miles Bland. line joining these latter points may be equal to a given line , and their respective distances from the former points in a given ratio . 28. If a straight line be divided into any two parts and pro- duced , so that 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 ...
Side vii
... line given in position , a line which shall be equal and parallel to a given straight line . 23. The bases of two ... joining the extre- mities has to that joining one of them and the point of bisection . 30. If two equal circles cut ...
... line given in position , a line which shall be equal and parallel to a given straight line . 23. The bases of two ... joining the extre- mities has to that joining one of them and the point of bisection . 30. If two equal circles cut ...
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