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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
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Página 95
... equiangular pentagon about a given circle . Let ABCDE be the given circle , it is required to describe an equilateral and equiangular pentagon about the circle ABCDE . Let the angles of a pentagon , inscribed in the circle , by the last ...
... equiangular pentagon about a given circle . Let ABCDE be the given circle , it is required to describe an equilateral and equiangular pentagon about the circle ABCDE . Let the angles of a pentagon , inscribed in the circle , by the last ...
Página 96
... equiangular ; and it is equilateral as was demonstrated ; and it is described about the circle ABCDE . PROP . XIII . PROB . To inscribe a circle in a given equilateral and equiangular pentagon . Let ABCDE be the given equilateral and ...
... equiangular ; and it is equilateral as was demonstrated ; and it is described about the circle ABCDE . PROP . XIII . PROB . To inscribe a circle in a given equilateral and equiangular pentagon . Let ABCDE be the given equilateral and ...
Página 97
... equi- angular pentagon ABCDE . PROP . XV . PROB . D To inscribe an equilateral and equiangular hexagon in a given circle . Let ABCDEF be the given circle ; it is required to inscribe an equila- teral and equiangular hexagon in it . Find ...
... equi- angular pentagon ABCDE . PROP . XV . PROB . D To inscribe an equilateral and equiangular hexagon in a given circle . Let ABCDEF be the given circle ; it is required to inscribe an equila- teral and equiangular hexagon in it . Find ...
Página 98
... equiangular hexagon shall be de- scribed about it , which may be demonstrated from what has been said of the pentagon ; and likewise a circle may be inscribed in a given equilateral and equiangular hexagon , and circumscribed about it ...
... equiangular hexagon shall be de- scribed about it , which may be demonstrated from what has been said of the pentagon ; and likewise a circle may be inscribed in a given equilateral and equiangular hexagon , and circumscribed about it ...
Página 99
... equiangular quindecagon may be described about it : And likewise , as in the pentagon , a circle may be inscribed in a given equilateral and equiangular quindecagon , and circum- scribed about it . SCHOLIUM . Any regular polygon being ...
... equiangular quindecagon may be described about it : And likewise , as in the pentagon , a circle may be inscribed in a given equilateral and equiangular quindecagon , and circum- scribed about it . SCHOLIUM . Any regular polygon being ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore