The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 41
... parallelogram EBCA , because the 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 ...
... parallelogram EBCA , because the 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 ...
Página 43
... parallelogram and a triangle be on the same base and between the same parallels , the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be on the same base BC , and between the same ...
... parallelogram and a triangle be on the same base and between the same parallels , the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be on the same base BC , and between the same ...
Página 206
Euclid Isaac Todhunter, Robert Simson. Let the parallelogram AC be equiangular to the paral- lelogram CF , having the angle BCD equal to the angle ECG : the parallelogram AC shall have to the parallelo- gram CF the ratio which is ...
Euclid Isaac Todhunter, Robert Simson. Let the parallelogram AC be equiangular to the paral- lelogram CF , having the angle BCD equal to the angle ECG : the parallelogram AC shall have to the parallelo- gram CF the ratio which is ...
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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