The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 38
... diameter ; the opposite sides and angles of the figure shall be equal to one another , and the diameter BC shall bi- sect it . Because AB is parallel to CD , and BC meets them , the alternate angles ABC , BCD are equal to one an- other ...
... diameter ; the opposite sides and angles of the figure shall be equal to one another , and the diameter BC shall bi- sect it . Because AB is parallel to CD , and BC meets them , the alternate angles ABC , BCD are equal to one an- other ...
Página 41
... diameter AB bisects the parallelogram ; [ I. 34 . and the triangle DBC is half of the parallelogram DBCF , because the diameter DC bisects the parallelogram . [ I. 34 . But the halves of equal things are equal . [ Axiom 7 . Therefore ...
... diameter AB bisects the parallelogram ; [ I. 34 . and the triangle DBC is half of the parallelogram DBCF , because the diameter DC bisects the parallelogram . [ I. 34 . But the halves of equal things are equal . [ Axiom 7 . Therefore ...
Página 45
... diameter of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diameter is AC ; and EH , GF parallelograms about AC , that is , through which AC passes ; and BK , KD the other paral- lelograms ...
... diameter of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diameter is AC ; and EH , GF parallelograms about AC , that is , through which AC passes ; and BK , KD the other paral- lelograms ...
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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