The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 14
... contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them , of the other . Let ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each ...
... contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them , of the other . Let ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each ...
Page 24
... contain a greater angle . Let ABC be a triangle , and from the points B , C , the ends of the side BC , let the two straight lines BD , CD be drawn to the point D within the triangle : BD , and DC shall be less than the other two sides ...
... contain a greater angle . Let ABC be a triangle , and from the points B , C , the ends of the side BC , let the two straight lines BD , CD be drawn to the point D within the triangle : BD , and DC shall be less than the other two sides ...
Page 26
... contained by the two sides of one of them greater than the angle contained by the two sides equal to them , of the other ; the base of that which has the greater angle shall be greater than the base of the other . Let ABC , DEF be two ...
... contained by the two sides of one of them greater than the angle contained by the two sides equal to them , of the other ; the base of that which has the greater angle shall be greater than the base of the other . Let ABC , DEF be two ...
Page 27
... contained by the sides of that which has the greater base , shall be greater than the angle contained by the sides equal to them of the other . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE ...
... contained by the sides of that which has the greater base , shall be greater than the angle contained by the sides equal to them of the other . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE ...
Page 29
... contain equal angles ; therefore the base AH is equal † + Hyp . to the base DF , and the triangle ABH to the +41 triangle DEF , and the other angles to the other angles , each to each , to which the equal sides are opposite : therefore ...
... contain equal angles ; therefore the base AH is equal † + Hyp . to the base DF , and the triangle ABH to the +41 triangle DEF , and the other angles to the other angles , each to each , to which the equal sides are opposite : therefore ...
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