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 páginas |
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Página 102
... equiangular pentagon has been in- scribed . Which was to be done . : Otherwise . " Divide the radius of the given ... equiangular pentagon about a given circle . Let ABCDE be the given circle , it is required to describe an equila- teral ...
... equiangular pentagon has been in- scribed . Which was to be done . : Otherwise . " Divide the radius of the given ... equiangular pentagon about a given circle . Let ABCDE be the given circle , it is required to describe an equila- teral ...
Página 103
... equiangular ; and it is equilateral as was demonstrated ; and it is described about the circle ABCDE . Which was to be done . : PROP . XIII . PROB . To inscribe a circle in a given equilateral and equiangular pentagon . Let ABCDE be the ...
... equiangular ; and it is equilateral as was demonstrated ; and it is described about the circle ABCDE . Which was to be done . : PROP . XIII . PROB . To inscribe a circle in a given equilateral and equiangular pentagon . Let ABCDE be the ...
Página 104
... equiangular penta- gon . Let ABCDE be the given equilateral and equiangular pentagon ; it is required to describe a circle about it . B Bisect ( 9. 1. ) the angles BCD , CDE by the straight lines CF , FD , and from the point F , in ...
... equiangular penta- gon . Let ABCDE be the given equilateral and equiangular pentagon ; it is required to describe a circle about it . B Bisect ( 9. 1. ) the angles BCD , CDE by the straight lines CF , FD , and from the point F , in ...
Página 105
... 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 e- quilateral and equiangular ...
... 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 e- quilateral and equiangular ...
Página 106
... equiangular hexagon , and circumscribed about it , by a method like to that used for the pentagon . PROP . XVI . PROB . To inscribe an equilateral and equiangular quindecagon in a given circle . Let ABCD be the given circle ; it is ...
... equiangular hexagon , and circumscribed about it , by a method like to that used for the pentagon . PROP . XVI . PROB . To inscribe an equilateral and equiangular quindecagon in a given circle . Let ABCD be the given circle ; it is ...
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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 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