The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 36
0 A COROLLARY 1. All the interior angles of any rectia lineal figure , together with four right angles , are equal to twice as many right angles as the figure has sider For any rectilineal figure ABCDE can be divided into as many ...
0 A COROLLARY 1. All the interior angles of any rectia lineal figure , together with four right angles , are equal to twice as many right angles as the figure has sider For any rectilineal figure ABCDE can be divided into as many ...
Página 171
Q.E.D. COROLLARY 1. If the same hypothesis be made as in the proposition , the excess of the first and fifth shall be to the second as the excess of the third and sixth is to the fourth . The demonstration of this is the same as that of ...
Q.E.D. COROLLARY 1. If the same hypothesis be made as in the proposition , the excess of the first and fifth shall be to the second as the excess of the third and sixth is to the fourth . The demonstration of this is the same as that of ...
Página 264
The corollaries to I. 32 were added by Simson . In the second corollary it ought to be stated what is meant by an exterior angle of a rectilineal figure . At each angular point let one of the sides meeting at that point be produced ...
The corollaries to I. 32 were added by Simson . In the second corollary it ought to be stated what is meant by an exterior angle of a rectilineal figure . At each angular point let one of the sides meeting at that point be produced ...
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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