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 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 ...
Página 94
... inscribe a triangle 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 ...
... inscribe a triangle 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 ...
Página 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 ...
Página 96
... inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . E A D ... inscribed in the triangle ABC . Which was to be done . B PROP . V. PROB . F To describe a circle about a given ...
... inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . E A D ... inscribed in the triangle ABC . Which was to be done . B PROP . V. PROB . F To describe a circle about a given ...
Página 97
... inscribe a square in a given circle . thin Let ABCD be the given circle ; it is required to inscribe a square in ABCD . Draw the diameters AC , BD at right angles to one another , and join AB , BC , CD , DA ; because BE is equal to ED ...
... inscribe a square in a given circle . thin Let ABCD be the given circle ; it is required to inscribe a square in ABCD . Draw the diameters AC , BD at right angles to one another , and join AB , BC , CD , DA ; because BE is equal to ED ...
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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