The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 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 B 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 B to CD , and BC meets them , the alternate ...
Side 45
THEOREM . a 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 , that is ...
THEOREM . a 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 , that is ...
Side 114
E In a given circle , to place a straight line , equal to a given straight line , which is
not greater than the diameter of the circle . Let ABC be the given circle , and the
given straight line , not greater than the diameter of the circle : it is required to ...
E In a given circle , to place a straight line , equal to a given straight line , which is
not greater than the diameter of the circle . Let ABC be the given circle , and the
given straight line , not greater than the diameter of the circle : it is required to ...
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ABCD AC is equal angle ABC angle ACB angle BAC Axiom base 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 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 square square on AC straight line &c suppose Take taken THEOREM third triangle ABC Wherefore whole