The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
Dentro del libro
Resultados 1-3 de 8
Página 243
... polygon BCDEF ; [ I. 32 . and all the angles of the polygon , together with four right angles , are also equal to twice as many right angles as there are sides in the polygon ; [ I. 32 , Corollary 1 . therefore all the angles of the ...
... polygon BCDEF ; [ I. 32 . and all the angles of the polygon , together with four right angles , are also equal to twice as many right angles as there are sides in the polygon ; [ I. 32 , Corollary 1 . therefore all the angles of the ...
Página 248
... polygon EKFLGMHN , is greater than the space S. In the circle ABCD describe the polygon AXBOCPDR similar to the polygon EKFLGMÂN . FH , Then the polygon AXBOCPDR is to the polygon EKFLGMHN as the square on BD is to the square on [ XII ...
... polygon EKFLGMHN , is greater than the space S. In the circle ABCD describe the polygon AXBOCPDR similar to the polygon EKFLGMÂN . FH , Then the polygon AXBOCPDR is to the polygon EKFLGMHN as the square on BD is to the square on [ XII ...
Página 279
... polygon of any assigned number of sides ; for example , we do not know how to describe geometrically a regular polygon of 7 sides . It was first demonstrated by Gauss in 1801 , in his Disqui- sitiones Arithmetica , that it is possible ...
... polygon of any assigned number of sides ; for example , we do not know how to describe geometrically a regular polygon of 7 sides . It was first demonstrated by Gauss in 1801 , in his Disqui- sitiones Arithmetica , that it is possible ...
Otras ediciones - Ver todas
Términos y frases comunes
ABCD AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC bisected centre circle ABC circumference Constr Construction Corollary Definition 15 demonstration diameter double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore