The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 72
A segment of a circle is the figure contained by a straight lino and the
circumference it cuts off . 7. The angle of a segment is that which is contained by
the straight line and the circumference . 8. An angle in a segment is the angle
contained by ...
A segment of a circle is the figure contained by a straight lino and the
circumference it cuts off . 7. The angle of a segment is that which is contained by
the straight line and the circumference . 8. An angle in a segment is the angle
contained by ...
Side 79
Therefore FA is the greatest , and FD the least of all the straight lines from F to the
circumference ; and FB is greater than FC , and FC than FG . Also , there can be
drawn two equal straight lines from the point F to the circumference , one on ...
Therefore FA is the greatest , and FD the least of all the straight lines from F to the
circumference ; and FB is greater than FC , and FC than FG . Also , there can be
drawn two equal straight lines from the point F to the circumference , one on ...
Side 82
If a point be taken within a circle , from which there falt more than two equal
straight lines to the circumference , that point is the centre of the circle . Let the
point D be taken within the circle ABC , from which to the circumference there fall
more ...
If a point be taken within a circle , from which there falt more than two equal
straight lines to the circumference , that point is the centre of the circle . Let the
point D be taken within the circle ABC , from which to the circumference there fall
more ...
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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