The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 8
... given point , and BC the given straight line it is required to draw from the point A a straight line equal to BC . From the point A to Bdraw the straight line AB ; [ Post . 1 . and on it describe the equi- lateral triangle DAB , [ I. 1 ...
... given point , and BC the given straight line it is required to draw from the point A a straight line equal to BC . From the point A to Bdraw the straight line AB ; [ Post . 1 . and on it describe the equi- lateral triangle DAB , [ I. 1 ...
Página 34
... given straight line . ! Let A be the given point , and BC the given straight line : it is required to draw a straight line through tho point A parallel to the straight line BC . In BC take any point D , and join AD ; at the point A in ...
... given straight line . ! Let A be the given point , and BC the given straight line : it is required to draw a straight line through tho point A parallel to the straight line BC . In BC take any point D , and join AD ; at the point A in ...
Página 233
... given point in the given plane : it is re- quired to erect a straight line from the point A , at right angles to the plane . From any point B without the plane , draw BC perpendicular to the plane ; [ XI . 11 . D B [ I. 31 . and from ...
... given point in the given plane : it is re- quired to erect a straight line from the point A , at right angles to the plane . From any point B without the plane , draw BC perpendicular to the plane ; [ XI . 11 . D B [ I. 31 . and from ...
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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