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 v
... centre , the parts of these lines which are intercepted within the circle are equal . 3. Of all straight lines which ... centres . 7. To draw a straight line which shall touch two given circles . 8. If a line touching two circles cut ...
... centre , the parts of these lines which are intercepted within the circle are equal . 3. Of all straight lines which ... centres . 7. To draw a straight line which shall touch two given circles . 8. If a line touching two circles cut ...
Side vi
... centre when the circle touches two given lines which are not parallel . 15. Through three given points which are not in the same straight line , a circle may be described ; but no other circle can pass through the same points . 16. From ...
... centre when the circle touches two given lines which are not parallel . 15. Through three given points which are not in the same straight line , a circle may be described ; but no other circle can pass through the same points . 16. From ...
Side vii
... centre which stands on an arc equal to the sum or difference of the arcs intercepted between them , according as ... centres , which have the same ratio that their radii have ; the angle contained by tangents drawn from that point ...
... centre which stands on an arc equal to the sum or difference of the arcs intercepted between them , according as ... centres , which have the same ratio that their radii have ; the angle contained by tangents drawn from that point ...
Side ix
... centre , a circle be described cutting the others , and from this centre lines be drawn through the intersections of the circles respec- tively ; the segments of them within each circle will be equal . 42. If from any point in the ...
... centre , a circle be described cutting the others , and from this centre lines be drawn through the intersections of the circles respec- tively ; the segments of them within each circle will be equal . 42. If from any point in the ...
Side x
... centre ; of all the chords which can be drawn through that point , that is the least which is at right angles to the diameter . 51. If from any point without a circle lines be drawn touching it ; the angle contained by the tangents is ...
... centre ; of all the chords which can be drawn through that point , that is the least which is at right angles to the diameter . 51. If from any point without a circle lines be drawn touching it ; the angle contained by the tangents is ...
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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