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 25
... equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend , or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ...
... equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend , or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ...
Página 94
... equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw ( 17.3 . ) the straight line GAH touching the ...
... equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw ( 17.3 . ) the straight line GAH touching the ...
Página 95
... equiangular to the triangle DEF , and it is inscribed in the circle ABC . Which was to be done . PROP . III . PROB . About a given circle to describe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the ...
... equiangular to the triangle DEF , and it is inscribed in the circle ABC . Which was to be done . PROP . III . PROB . About a given circle to describe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the ...
Página 101
... 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 FGH , having each of the ...
... 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 FGH , having each of the ...
Página 102
... equi- angular : and it has been shown that it is 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 ...
... equi- angular : and it has been shown that it is 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 ...
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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