The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 36
... four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ... four right angles . [ I. 15. Corollary 2 . Therefore all the interior angles of the figure , together with four right ...
... four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ... four right angles . [ I. 15. Corollary 2 . Therefore all the interior angles of the figure , together with four right ...
Página 61
... four rectangles AG , MP , PL , RF are equal to one another , and so the four are quadruple of one of thom AG . And it was shewn that the four CK , BN , GR and RN arc quadruple of CK ; therefore the eight rectangles which make up the ...
... four rectangles AG , MP , PL , RF are equal to one another , and so the four are quadruple of one of thom AG . And it was shewn that the four CK , BN , GR and RN arc quadruple of CK ; therefore the eight rectangles which make up the ...
Página 136
... four proportionals , and it is inferred that the first is to the third , as the second is to the fourth . V. 16 . 14. Invertendo , by inversion ; when there are four proportionals , and it is inferred , that the second is to the first ...
... four proportionals , and it is inferred that the first is to the third , as the second is to the fourth . V. 16 . 14. Invertendo , by inversion ; when there are four proportionals , and it is inferred , that the second is to the first ...
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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