Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Σελίδα 98
... inscribed in the circle ABCD . Which was to be done . PROP . VII . PROB . To describe a square about a given circle ... inscribe a circle in a given square . K Let ABCD be the given square ; it is required to inscribe a circle in ABCD ...
... inscribed in the circle ABCD . Which was to be done . PROP . VII . PROB . To describe a square about a given circle ... inscribe a circle in a given square . K Let ABCD be the given square ; it is required to inscribe a circle in ABCD ...
Σελίδα 101
... inscribe an equilateral and equiangular pentagon in a given circle . Let ABCDE be the given circle , it is required to inscribe an equi- lateral and equiangular pentagon in the circle ABCDE . Describe ( 10. 4. ) an isosceles triangle ...
... inscribe an equilateral and equiangular pentagon in a given circle . Let ABCDE be the given circle , it is required to inscribe an equi- lateral and equiangular pentagon in the circle ABCDE . Describe ( 10. 4. ) an isosceles triangle ...
Σελίδα 102
... inscribed in the circle . " PROP . XII . PROB . To describe an equilateral and equiangular pentagon about a given circle . Let ABCDE be the given circle , it is required to describe an equila- teral and equiangular pentagon about the ...
... inscribed in the circle . " PROP . XII . PROB . To describe an equilateral and equiangular pentagon about a given circle . Let ABCDE be the given circle , it is required to describe an equila- teral and equiangular pentagon about the ...
Σελίδα 103
... inscribe a circle in a given equilateral and equiangular pentagon . Let ABCDE be the given equilateral and equiangular pentagon ; it is required to inscribe a circle in the pentagon ABCDE . Bisect ( 9. 1. ) the angles BCD , CDE by the ...
... inscribe a circle in a given equilateral and equiangular pentagon . Let ABCDE be the given equilateral and equiangular pentagon ; it is required to inscribe a circle in the pentagon ABCDE . Bisect ( 9. 1. ) the angles BCD , CDE by the ...
Σελίδα 105
... inscribe an equilateral and equiangular hexagon in a given circle . Let ABCDEF be the given circle ; it is required to inscribe an e- quilateral and equiangular hexagon in it . Find the centre G of the circle ABCDEF , and draw the ...
... inscribe an equilateral and equiangular hexagon in a given circle . Let ABCDEF be the given circle ; it is required to inscribe an e- quilateral and equiangular hexagon in it . Find the centre G of the circle ABCDEF , and draw the ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore