The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 38
Let ACDB be a parallelogram , of which BC is a diameter ; the opposite sides and angles of the figure shall be equal to one another , and the diameter BC shall bisect it . Because AB is parallel to CD , and BC meets them , the alternate ...
Let ACDB be a parallelogram , of which BC is a diameter ; the opposite sides and angles of the figure shall be equal to one another , and the diameter BC shall bisect it . Because AB is parallel to CD , and BC meets them , the alternate ...
Página 45
THEOREM . a EA The complements of the parallelograms which are about the diameter of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diameter is AC ; and EH , GF parallelograms about AC ...
THEOREM . a EA The complements of the parallelograms which are about the diameter of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diameter is AC ; and EH , GF parallelograms about AC ...
Página 114
Let ABC be the given circle , and D the given straight line , not greater than the diameter of the circle : it is required to place in the circle ABC , a straight line equal to D. Draw BC , a diameter of the circle ABC .
Let ABC be the given circle , and D the given straight line , not greater than the diameter of the circle : it is required to place in the circle ABC , a straight line equal to D. Draw BC , a diameter of the circle ABC .
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ABCD angle ABC angle ACB angle BAC Axiom base BC is equal bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole