The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 34
... lines AB , EF , the angle AGH is equal to the angle GHF . [ I. 29 . Again , because GK .cuts the ... & c . Q.E.D. PROPOSITION 31. PROBLEM . [ T. 27 . To draw a straight line ... straight line AD , which meets the two 34 EUCLID'S ELEMENTS .
... lines AB , EF , the angle AGH is equal to the angle GHF . [ I. 29 . Again , because GK .cuts the ... & c . Q.E.D. PROPOSITION 31. PROBLEM . [ T. 27 . To draw a straight line ... straight line AD , which meets the two 34 EUCLID'S ELEMENTS .
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Euclid Isaac Todhunter, Robert Simson. Then since the straight line AB is in ... and C are in this plane , the straight line BC is in it . [ I. Definition 7 ... & c . Q.E.D. PROPOSITION 2. THEOREM . Two straight lines which cut one another ...
Euclid Isaac Todhunter, Robert Simson. Then since the straight line AB is in ... and C are in this plane , the straight line BC is in it . [ I. Definition 7 ... & c . Q.E.D. PROPOSITION 2. THEOREM . Two straight lines which cut one another ...
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... straight lines BD , AD , CD , at the point at which they meet ; therefore ... & c . Q.E.D. [ I. 28 . PROPOSITION 7 . THEOREM . If two straight lines be parallel , the straight line ... & c . Q.E.D. PROPOSITION 8. THEOREM . If two straight lines ...
... straight lines BD , AD , CD , at the point at which they meet ; therefore ... & c . Q.E.D. [ I. 28 . PROPOSITION 7 . THEOREM . If two straight lines be parallel , the straight line ... & c . Q.E.D. PROPOSITION 8. THEOREM . If two straight lines ...
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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