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 |
Fra bogen
Resultater 1-5 af 37
Side 120
... ABCD be a rhombus , whose diameters are AC , BD ; they bisect each other at right angles in E. B A E D Since AB - AD , and AC is com- mon to the two triangles ABC , ADC , the two BA , AC are equal to the two DA , AC , each to each , and ...
... ABCD be a rhombus , whose diameters are AC , BD ; they bisect each other at right angles in E. B A E D Since AB - AD , and AC is com- mon to the two triangles ABC , ADC , the two BA , AC are equal to the two DA , AC , each to each , and ...
Side 121
... ABCD is a parallelogram . ( 3. ) To bisect a parallelogram by a line drawn from a point in one of its sides . Let ABCD be a parallelogram , and P a given point in the side AB . Draw the diameter BD , which bi- sects the parallelogram ...
... ABCD is a parallelogram . ( 3. ) To bisect a parallelogram by a line drawn from a point in one of its sides . Let ABCD be a parallelogram , and P a given point in the side AB . Draw the diameter BD , which bi- sects the parallelogram ...
Side 122
... ABCD , let lines EB , A ED be drawn ; the triangles ABE , AED are equal ; as also the triangles BEC , CED . Draw the diameter BD . The bases BF , FD being equal , the triangles BFA , DFA ( Eucl . i . 38. ) , as also the triangles BFE ...
... ABCD , let lines EB , A ED be drawn ; the triangles ABE , AED are equal ; as also the triangles BEC , CED . Draw the diameter BD . The bases BF , FD being equal , the triangles BFA , DFA ( Eucl . i . 38. ) , as also the triangles BFE ...
Side 123
... ABCD , let any line BE be drawn cutting the diameter AG in F , the opposite side in G , and A B H F G E AD produced in E ; BF is a mean proportional between FG and FE . Draw DH parallel to BF , and .. equal to it ; .. also AH - FC , and ...
... ABCD , let any line BE be drawn cutting the diameter AG in F , the opposite side in G , and A B H F G E AD produced in E ; BF is a mean proportional between FG and FE . Draw DH parallel to BF , and .. equal to it ; .. also AH - FC , and ...
Side 124
Miles Bland. of ABCD . In the same manner if a line be drawn through P parallel to AB or DC , it may be shewn that APB , DPC together are half of ABCD . ( 8. ) If a straight line be drawn parallel to one of the sides of a parallelogram ...
Miles Bland. of ABCD . In the same manner if a line be drawn through P parallel to AB or DC , it may be shewn that APB , DPC together are half of ABCD . ( 8. ) If a straight line be drawn parallel to one of the sides of a parallelogram ...
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