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 TrigonometryW.E. Dean, 1839 - 318 páginas |
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Página 101
... equilateral decagon inscrib- " ed in the circle BDE . " PROP . XI . PROB . To 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 ...
... equilateral decagon inscrib- " ed in the circle BDE . " PROP . XI . PROB . To 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 ...
Página 102
... equilateral . Wherefore , in the given circle , an equilateral and equiangular pentagon has been inscribed . Which was to be done . Otherwise . " Divide the radius of the given circle , so that the rectangle contain- " ed by the whole ...
... equilateral . Wherefore , in the given circle , an equilateral and equiangular pentagon has been inscribed . Which was to be done . Otherwise . " Divide the radius of the given circle , so that the rectangle contain- " ed by the whole ...
Página 103
... equilateral as was demonstrated ; and it is described about the cir- cle ABCDE . Which was to be done . PROP . XIII . PROB . To inscribe a circle in a given equilateral and equiangular pen- tagon . Let ABCDE be the given equilateral and ...
... equilateral as was demonstrated ; and it is described about the cir- cle ABCDE . Which was to be done . PROP . XIII . PROB . To inscribe a circle in a given equilateral and equiangular pen- tagon . Let ABCDE be the given equilateral and ...
Página 104
... equilateral and equiangular pentagon . Let ABCDE be the given equilateral and equiangular pentagon ; it is required to describe a circle about it . Bisect ( 9. 1. ) the angles BCD , CDE by the straight lines CF , FD , and from the point ...
... equilateral and equiangular pentagon . Let ABCDE be the given equilateral and equiangular pentagon ; it is required to describe a circle about it . Bisect ( 9. 1. ) the angles BCD , CDE by the straight lines CF , FD , and from the point ...
Página 105
... equilateral and equiangular pentagon ABCDE . Which was to be done . PROP . XV . PROB . To inscribe an equilateral and equiangular hexagon in a given circle . Let ABCDEF be the given circle ; it is required to inscribe an equilateral ...
... equilateral and equiangular pentagon ABCDE . Which was to be done . PROP . XV . PROB . To inscribe an equilateral and equiangular hexagon in a given circle . Let ABCDEF be the given circle ; it is required to inscribe an equilateral ...
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition 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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism produced proportional 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 parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore