The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 17
... PROPOSITION 12. PROBLEM . To draw a straight line perpendicular to a given straight line of an unlimited length ... PROPOSITION 13. THEOREM . The angles which one straight line 2 BOOK I. 11 , 12 . 17.
... PROPOSITION 12. PROBLEM . To draw a straight line perpendicular to a given straight line of an unlimited length ... PROPOSITION 13. THEOREM . The angles which one straight line 2 BOOK I. 11 , 12 . 17.
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Euclid Isaac Todhunter, Robert Simson. PROPOSITION 13. THEOREM . The angles which one straight line makes with another straight line on one side of it , either are two right angles , or are together equal to two right angles . Let the ...
Euclid Isaac Todhunter, Robert Simson. PROPOSITION 13. THEOREM . The angles which one straight line makes with another straight line on one side of it , either are two right angles , or are together equal to two right angles . Let the ...
Página 84
... PROPOSITION 13. THEOREM . One circle cannot touch another at more points than one , whether it touches it on the inside or outside . For , if it be possible , let the circle EBF touch the circle ABC at more points than one ; and first ...
... PROPOSITION 13. THEOREM . One circle cannot touch another at more points than one , whether it touches it on the inside or outside . For , if it be possible , let the circle EBF touch the circle ABC at more points than one ; and first ...
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ABCD angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC BC is equal 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 whole angle