The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página ix
... Books I - VI , XI and XII in fall , omitting only Book X ( on Irrationals ) , and Book XIII ( on the five- Regular Solids ) ; Todhunter's edition includes only 21 propositions of Book XI ( omitting 22-40 ) , and two propositions of Book ...
... Books I - VI , XI and XII in fall , omitting only Book X ( on Irrationals ) , and Book XIII ( on the five- Regular Solids ) ; Todhunter's edition includes only 21 propositions of Book XI ( omitting 22-40 ) , and two propositions of Book ...
Página xix
... Book II . Book III . PAGE vii xiv xvii 1 52 71 Book IV . 113 Book V. 134 Book VI . 173 Book XI . 220 Book XII . 244 Notes on Euclid's Elements 250 Appendix .... 292 EUCLID'S ELEMENTS . BOOK I. DEFINITIONS . 1. A POINT.
... Book II . Book III . PAGE vii xiv xvii 1 52 71 Book IV . 113 Book V. 134 Book VI . 173 Book XI . 220 Book XII . 244 Notes on Euclid's Elements 250 Appendix .... 292 EUCLID'S ELEMENTS . BOOK I. DEFINITIONS . 1. A POINT.
Página 282
... Book . . . . . ” The following demonstration is given by Austin in his Exami- nation of the first six books of Euclid's Elements . Let AE be to EB as CF is to FD : AB shall be to BE as CD is to DF . For , because AE is to EB as ...
... Book . . . . . ” The following demonstration is given by Austin in his Exami- nation of the first six books of Euclid's Elements . Let AE be to EB as CF is to FD : AB shall be to BE as CD is to DF . For , because AE is to EB as ...
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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