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 Trigonometry |
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Page 93
... inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . II . In like manner , a figure is said to be described about another ...
... inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . II . In like manner , a figure is said to be described about another ...
Page 95
... 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 tri- angle . Let ABC be the given circle , and DEF the given triangle ; it is re- quired to ...
... 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 tri- angle . Let ABC be the given circle , and DEF the given triangle ; it is re- quired to ...
Page 96
... inscribed in the triangle ABC . Which was to be done . PROP . V. PROB . To describe a circle about a given triangle . Let the given triangle be ABC ; it is required to describe a circle about ABC . Bisect ( 10. 1. ) AB , AC in the ...
... inscribed in the triangle ABC . Which was to be done . PROP . V. PROB . To describe a circle about a given triangle . Let the given triangle be ABC ; it is required to describe a circle about ABC . Bisect ( 10. 1. ) AB , AC in the ...
Page 98
... inscribed in the circle ABCD . Which was to be done . PROP . VII . PROB . To describe a square about a given circle . Let ABCD be the given circle ; it is required to describe a square about it . Draw two diameters AC , BD of the circle ...
... inscribed in the circle ABCD . Which was to be done . PROP . VII . PROB . To describe a square about a given circle . Let ABCD be the given circle ; it is required to describe a square about it . Draw two diameters AC , BD of the circle ...
Page 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 ...
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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 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 MDCCCXX 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