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 σελίδες |
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Σελίδα 25
... equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which sub- tend , 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 sub- tend , or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ...
Σελίδα 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 ...
Σελίδα 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 tri- angle . Let ABC be the given circle , and DEF ...
... 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 tri- angle . Let ABC be the given circle , and DEF ...
Σελίδα 96
... equiangular to the triangle DEF : And it is described about the circle ABC . Which was to be done . PROP . IV . PROB . To inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC ...
... equiangular to the triangle DEF : And it is described about the circle ABC . Which was to be done . PROP . IV . PROB . To inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC ...
Σελίδα 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 an ...
... 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 an ...
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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 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