The Elements of EuclidJ. M. Dent & sons, 1933 - 298 páginas |
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Página 32
... exterior angle EGB equal to the interior and opposite angle GHD on the same side , or make the interior angles on the same side BGH , GHD together equal to two right angles : AB shall be parallel to CD . Because the angle EGB is equal to ...
... exterior angle EGB equal to the interior and opposite angle GHD on the same side , or make the interior angles on the same side BGH , GHD together equal to two right angles : AB shall be parallel to CD . Because the angle EGB is equal to ...
Página 35
... exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are toge- ther equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D : the exterior ...
... exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are toge- ther equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D : the exterior ...
Página 36
... angles . Because every interior angle ABC , with its adjacent exterior angle ABD , is equal to two right angles ; [ I. 13 . therefore all the interior angles of the figure , together with all its exterior angles , are equal to D twice ...
... angles . Because every interior angle ABC , with its adjacent exterior angle ABD , is equal to two right angles ; [ I. 13 . therefore all the interior angles of the figure , together with all its exterior angles , are equal to D twice ...
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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