The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 94
... segment BAEC is greater than a semicircle , and there- fore the angles BAC , BEC in it , are equal , by the first case . For the same reason , because the segment CAED is greater than a A E B D F semicircle , the angles CAD , CED are ...
... segment BAEC is greater than a semicircle , and there- fore the angles BAC , BEC in it , are equal , by the first case . For the same reason , because the segment CAED is greater than a A E B D F semicircle , the angles CAD , CED are ...
Página 96
... segments of circles on the equal straight lines AB , CD : the segment AEB shall be equal to the segment CFD . For if the segment E F AEB be applied to the segment CFD , so that the point A A B D may be on the point C , and the straight ...
... segments of circles on the equal straight lines AB , CD : the segment AEB shall be equal to the segment CFD . For if the segment E F AEB be applied to the segment CFD , so that the point A A B D may be on the point C , and the straight ...
Página 98
... segment EDF ; [ III.Def.11 . and they are on equal straight lines BC , EF . But similar segments of circles on equal straight lines are equal to one another ; [ III . 24 . therefore the segment BAC is equal to the segment EDF . But the ...
... segment EDF ; [ III.Def.11 . and they are on equal straight lines BC , EF . But similar segments of circles on equal straight lines are equal to one another ; [ III . 24 . therefore the segment BAC is equal to the segment EDF . But the ...
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Términos y frases comunes
ABCD angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC BC is equal 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 whole angle