The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 55
... draw CGF parallel to AD or BE , and through G draw HK parallel to ABor DE . [ 1.31 . Then , because CF is parallel to AD , and BD falls on them , the exterior angle CGB is equal to the interior and opposite an- gle ADB ; [ I. 29 . A H ...
... draw CGF parallel to AD or BE , and through G draw HK parallel to ABor DE . [ 1.31 . Then , because CF is parallel to AD , and BD falls on them , the exterior angle CGB is equal to the interior and opposite an- gle ADB ; [ I. 29 . A H ...
Página 188
... draw DE parallel to it . AE shall be the part required to be cut off . For , because ED is parallel to BC , one of ... draw DF parallel to BC , and through the point E draw EG parallel to BC . [ I. 31 . AB shall be divided at the ...
... draw DE parallel to it . AE shall be the part required to be cut off . For , because ED is parallel to BC , one of ... draw DF parallel to BC , and through the point E draw EG parallel to BC . [ I. 31 . AB shall be divided at the ...
Página 232
... draw a straight line perpendicular to a given plane , from a given point without it . Let A be the given point without the plane BH : it is required to draw from the point A a straight line perpen- dicular to the plane BH . Draw any ...
... draw a straight line perpendicular to a given plane , from a given point without it . Let A be the given point without the plane BH : it is required to draw from the point A a straight line perpen- dicular to the plane BH . Draw any ...
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Términos y frases comunes
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