The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 73
The point F shall be the centre of the circle ABC . For if F be not the centre , if possible , let G be the centre ; ' and join GA , GD , GB . Then , because DA is equal to DB , [ Construction and DG is common to the two triangles ADG ...
The point F shall be the centre of the circle ABC . For if F be not the centre , if possible , let G be the centre ; ' and join GA , GD , GB . Then , because DA is equal to DB , [ Construction and DG is common to the two triangles ADG ...
Página 76
If in a circle two straight lines cut one another , which do not pass through the centre , they do not bisect one another . Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another at the point E , and do not ...
If in a circle two straight lines cut one another , which do not pass through the centre , they do not bisect one another . Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another at the point E , and do not ...
Página 92
If a straight line touch a circle , and from the point of contact a straight line be drawn at right angles to the touching line , the centre of the circle shali be in that line . Let the straight line DE touch the circle ABC at C ...
If a straight line touch a circle , and from the point of contact a straight line be drawn at right angles to the touching line , the centre of the circle shali be in that line . Let the straight line DE touch the circle ABC at C ...
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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