The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 26
... angle equal to a given rectilineal angle . Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal angle : it is required to make at the given point A , in the given straight line AB , an angle ...
... angle equal to a given rectilineal angle . Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal angle : it is required to make at the given point A , in the given straight line AB , an angle ...
Página 48
... angle HGL ; therefore the angles MHG , HGL , are equal to the angles HGF , HGL . [ Axiom 2 . But MHG , HGLare ... given rectilineal figure ABCD , and having the angle FKM equal to the given angle E. Q.E.F. COROLLARY . From this it is ...
... angle HGL ; therefore the angles MHG , HGL , are equal to the angles HGF , HGL . [ Axiom 2 . But MHG , HGLare ... given rectilineal figure ABCD , and having the angle FKM equal to the given angle E. Q.E.F. COROLLARY . From this it is ...
Página 107
... angle equal to a given rectilineal angle . Let ABC be the given circle , and D the given recti- lineal angle : it is required to cut off from the circle ABC a segment containing an angle equal to the angle D. Draw the straight line EF ...
... angle equal to a given rectilineal angle . Let ABC be the given circle , and D the given recti- lineal angle : it is required to cut off from the circle ABC a segment containing an angle equal to the angle D. Draw the straight line EF ...
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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