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 40
Side xii
... pendicular to the former line , has to the former line itself . 70. In a circle to place a straight line of given length , so that perpendiculars drawn to it from two given points in the circum- ference may have a given ratio . 71. If ...
... pendicular to the former line , has to the former line itself . 70. In a circle to place a straight line of given length , so that perpendiculars drawn to it from two given points in the circum- ference may have a given ratio . 71. If ...
Side xiii
... 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 bisection of the arc and the other extremity of the diameter . 73. In a given ...
... 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 bisection of the arc and the other extremity of the diameter . 73. In a given ...
Side xiv
... pendicular be drawn , meeting the circumference , and on it as a diameter a circle be described , to the centre of which a line is drawn from the farther extremity of the diameter of the semicircle , cutting its circumference ; and ...
... pendicular be drawn , meeting the circumference , and on it as a diameter a circle be described , to the centre of which a line is drawn from the farther extremity of the diameter of the semicircle , cutting its circumference ; and ...
Side xvi
... pendicular drawn from its extremity to the circumference will be in continued proportion . 98. If the tangents drawn to every two of three unequal circles be produced till they meet , the points of intersection will be in a straight ...
... pendicular drawn from its extremity to the circumference will be in continued proportion . 98. If the tangents drawn to every two of three unequal circles be produced till they meet , the points of intersection will be in a straight ...
Side xvii
... pendicular to the base , and another bisecting the angle at the vertex . 6. If from one of the equal angles of an isosceles triangle any line be drawn to the opposite side , and from the same point a line be drawn to the opposite side ...
... pendicular to the base , and another bisecting the angle at the vertex . 6. If from one of the equal angles of an isosceles triangle any line be drawn to the opposite side , and from the same point a line be drawn to the opposite side ...
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