The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 21
... manner if BC be bisected , and the side AC be produced to G , it may be shewn that the angle BCG , that is the angle ACD , is greater than the angle ABC . [ I. 15 . Wherefore , if one side & c . Q.E.D. PROPOSITION 17. THEOREM . Any two ...
... manner if BC be bisected , and the side AC be produced to G , it may be shewn that the angle BCG , that is the angle ACD , is greater than the angle ABC . [ I. 15 . Wherefore , if one side & c . Q.E.D. PROPOSITION 17. THEOREM . Any two ...
Página 122
... manner it may be shown that the angles ABC , BCD , CDA are severally bisected by the straight lines BD , AC . Then , because the angle DAB is equal to the angle ABC , and that the angle EAB is half the angle DAB , and the angle EBA is ...
... manner it may be shown that the angles ABC , BCD , CDA are severally bisected by the straight lines BD , AC . Then , because the angle DAB is equal to the angle ABC , and that the angle EAB is half the angle DAB , and the angle EBA is ...
Página 273
... manner of III . 7 , and they should be demonstrated , for the third part is really required , as we shall see in the note on III . 10 . III . 9. The point E might be supposed to fall within the angle ADC . It cannot then be shewn that ...
... manner of III . 7 , and they should be demonstrated , for the third part is really required , as we shall see in the note on III . 10 . III . 9. The point E might be supposed to fall within the angle ADC . It cannot then be shewn that ...
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Términos y frases comunes
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