The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 11
... shewn to be equal to GB ; therefore the two sides BF , FC are equal to the two sides CG , GB , each to each ; and the angle BFC was shewn to be equal to the angle CGB ; therefore the triangles BFC , CGB are equal , and their other ...
... shewn to be equal to GB ; therefore the two sides BF , FC are equal to the two sides CG , GB , each to each ; and the angle BFC was shewn to be equal to the angle CGB ; therefore the triangles BFC , CGB are equal , and their other ...
Página 150
... shewn , that L is greater than FG but not greater than EG . And L is a multiple of D , [ Construction . and EG and FG were shewn to be equi- multiples of AB and CB . Therefore D has to BC a greater ratio than it has to AB . [ V ...
... shewn , that L is greater than FG but not greater than EG . And L is a multiple of D , [ Construction . and EG and FG were shewn to be equi- multiples of AB and CB . Therefore D has to BC a greater ratio than it has to AB . [ V ...
Página 225
... shewn that GE is equal to HE , and EF is common to the two triangles FEG , FEH ; and the base FG has been shewn equal to the base FH ; therefore the angle FEG is equal to the angle FEH . [ I. 8 . Therefore each of these angles is a ...
... shewn that GE is equal to HE , and EF is common to the two triangles FEG , FEH ; and the base FG has been shewn equal to the base FH ; therefore the angle FEG is equal to the angle FEH . [ I. 8 . Therefore each of these angles is a ...
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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