The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 36
... figure has sides . For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And by the preceding proposition ...
... figure has sides . For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And by the preceding proposition ...
Página 113
... figure is said to be inscribed in another rectilineal figure , when all the angles of the in- scribed figure are on the sides of the figure in which it is inscribed , each on each . 2. In like manner , a figure is said to be described ...
... figure is said to be inscribed in another rectilineal figure , when all the angles of the in- scribed figure are on the sides of the figure in which it is inscribed , each on each . 2. In like manner , a figure is said to be described ...
Página 209
... figure ABC . KGH shall be the rectilineal figure required . [ VI . 18 . For , because BC is to GH as GH is to CF , [ Construction . and that if three straight lines be proportionals , as the first is to the third so is any figure on the ...
... figure ABC . KGH shall be the rectilineal figure required . [ VI . 18 . For , because BC is to GH as GH is to CF , [ Construction . and that if three straight lines be proportionals , as the first is to the third so is any figure on the ...
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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