The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 89
... inscribed in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles shall together be equal to two right angles . Join AC , BD : and because the three ...
... inscribed in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles shall together be equal to two right angles . Join AC , BD : and because the three ...
Page 106
... 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 figure ...
... 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 figure ...
Page 107
... inscribed in a rectilineal figure , when the circumference of the circle touches each side of the figure . VI . A circle is said to be described about a rectilineal figure , when the cir- cumference of the circle passes through all the ...
... inscribed in a rectilineal figure , when the circumference of the circle touches each side of the figure . VI . A circle is said to be described about a rectilineal figure , when the cir- cumference of the circle passes through all the ...
Page 108
... 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 . G D Draw the straight line GAH ...
... 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 . G D Draw the straight line GAH ...
Page 109
... inscribed in the circle ABC . Which was to be done . PROP . III . PROB . About a given circle to describe a triangle equi- angular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to ...
... inscribed in the circle ABC . Which was to be done . PROP . III . PROB . About a given circle to describe a triangle equi- angular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole