The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 41
... triangle ABC is equal to the triangle DBC . Wherefore , triangles & c . Q.E.D. PROPOSITION 38 . THEOREM . Triangles on equal bases , and between the same par- allels , are equal to one another . Let the triangles ABC , DEF be on equal ...
... triangle ABC is equal to the triangle DBC . Wherefore , triangles & c . Q.E.D. PROPOSITION 38 . THEOREM . Triangles on equal bases , and between the same par- allels , are equal to one another . Let the triangles ABC , DEF be on equal ...
Página 187
... triangle , and to one another . Let ABC be a right - angled triangle , having the right angle BAC ; and from the point A , let AD be drawn per- pendicular to the base BC : the triangles DBA , DAC shall be similar to the whole triangle ...
... triangle , and to one another . Let ABC be a right - angled triangle , having the right angle BAC ; and from the point A , let AD be drawn per- pendicular to the base BC : the triangles DBA , DAC shall be similar to the whole triangle ...
Página 193
... triangle ABC is equal to the trian- gle ADE , [ Hypothesis . and that ABD is another triangle , therefore the triangle ABC is to the triangle ABD as the triangle ADE is to the triangle ABD . [ V. 7 . But the triangle ABC is to the ...
... triangle ABC is equal to the trian- gle ADE , [ Hypothesis . and that ABD is another triangle , therefore the triangle ABC is to the triangle ABD as the triangle ADE is to the triangle ABD . [ V. 7 . But the triangle ABC is to the ...
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ABCD AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC bisected centre circle ABC circumference Constr Construction Corollary Definition 15 demonstration diameter double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore