The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 203
Euclid Isaac Todhunter, Robert Simson. But any rectilineal figure described on AB is to the similar and similarly described rectilineal figure on FG in the duplicate ratio of AB to FG , [ Corollary 1 . Therefore as AB is to M , so is the ...
Euclid Isaac Todhunter, Robert Simson. But any rectilineal figure described on AB is to the similar and similarly described rectilineal figure on FG in the duplicate ratio of AB to FG , [ Corollary 1 . Therefore as AB is to M , so is the ...
Página 204
... rectilineal figures simi- larly described on four straight lines be ... rectilineal figures KAB , LCD be simi- larly described ; and on EF , GĦ let the similar rectilineal figures ... figure KAB is to the figure LCD as 204 EUCLID'S ELEMENTS .
... rectilineal figures simi- larly described on four straight lines be ... rectilineal figures KAB , LCD be simi- larly described ; and on EF , GĦ let the similar rectilineal figures ... figure KAB is to the figure LCD as 204 EUCLID'S ELEMENTS .
Página 209
... rectilineal figure KGH , similar and similarly situated to the rectilineal figure ABC . KGH shall be the rectilineal figure required . [ VI . 18 . For , because BC is to GH as GH is to CF , [ Construction . and that if three straight ...
... rectilineal figure KGH , similar and similarly situated to the rectilineal figure ABC . KGH shall be the rectilineal figure required . [ VI . 18 . For , because BC is to GH as GH is to CF , [ Construction . and that if three straight ...
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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