The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 12
... equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subtend or are oppo- site to the equal angles , shall be equal to one another . Let ABC be a triangle having the angle ABC ...
... equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subtend or are oppo- site to the equal angles , shall be equal to one another . Let ABC be a triangle having the angle ABC ...
Page 13
... equiangular triangle is also equilateral . PROP . VII . THEOR . Upon the same base , and on the same side of it , there cannot be two triangles that have their sides , which are terminated in one extremity of the base , equal to one ...
... equiangular triangle is also equilateral . PROP . VII . THEOR . Upon the same base , and on the same side of it , there cannot be two triangles that have their sides , which are terminated in one extremity of the base , equal to one ...
Page 108
... 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 touching the circle in ...
... 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 touching the circle in ...
Page 109
... 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 equi- angular to a given triangle . 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 equi- angular to a given triangle . Let ABC be the given circle , and DEF ...
Page 110
... equiangular to the triangle DEF : and it is described about the circle ABC . was to be done . and 3 Ax . 9. 1 . PROP . IV . PROB . Which To inscribe a circle in a given triungle . Let the given triangle be ABC ; it is required to ...
... equiangular to the triangle DEF : and it is described about the circle ABC . was to be done . and 3 Ax . 9. 1 . PROP . IV . PROB . Which To inscribe a circle in a given triungle . Let the given triangle be ABC ; 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