The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 72
A segment of a circle is the figure contained by a straight line 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 ...
A segment of a circle is the figure contained by a straight line 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 ...
Página 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 ...
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 ...
Página 82
THEOREM , 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 ...
THEOREM , 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 ...
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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