The Elements of EuclidJ. M. Dent & sons, 1933 - 298 páginas |
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Página 31
... meet to- wards B , D. In the same manner , it may be shown that they do not meet towards A , C. But those straight lines which being produced ever so far both ways do not meet , are parallel . Therefore AB is parallel to CD . Wherefore ...
... meet to- wards B , D. In the same manner , it may be shown that they do not meet towards A , C. But those straight lines which being produced ever so far both ways do not meet , are parallel . Therefore AB is parallel to CD . Wherefore ...
Página 236
Euclid Isaac Todhunter. Let AB , BC , two straight lines which meet one another , be parallel to two other straight lines DE , EF , which meet one another , but are not in the same plane with AB , BC : the plane passing through AB , BC ...
Euclid Isaac Todhunter. Let AB , BC , two straight lines which meet one another , be parallel to two other straight lines DE , EF , which meet one another , but are not in the same plane with AB , BC : the plane passing through AB , BC ...
Página 237
... meet one an- other . B K H But they do not meet , since they are parallel by hypothesis . Therefore EF and GH , being produced , do not meet to- wards F , H. In the same manner it may be shewn that they do not meet towards E , G. But ...
... meet one an- other . B K H But they do not meet , since they are parallel by hypothesis . Therefore EF and GH , being produced , do not meet to- wards F , H. In the same manner it may be shewn that they do not meet towards E , G. But ...
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Términos y frases comunes
ABCD adjacent angles 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 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