The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Results 1-5 of 39
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 . * 17.3 . Draw * 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 . * 17.3 . Draw * the straight line GAH touching the ...
Page 109
... equiangular to the triangle DEF , and it is inscribed in the circle ABC . to be done . PROP . III . PROB . Which was 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 . to be done . PROP . III . PROB . Which was 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 . Which was to be done . 9. 1 . PROP . IV . PROB . To inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle ...
... equiangular to the triangle DEF : and it is described about the circle ABC . Which was to be done . 9. 1 . PROP . IV . PROB . To inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle ...
Other editions - View all
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 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 third three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole