The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página xiii
... sphere ” of a regular dodecahedron ( the regular solid figure with twelve faces , all of which are equal regular pentagons ) . November 1932 . T. L. HEATH . EXTRACT FROM TODHUNTER'S ORIGINAL PREFACE . IN offering to students ...
... sphere ” of a regular dodecahedron ( the regular solid figure with twelve faces , all of which are equal regular pentagons ) . November 1932 . T. L. HEATH . EXTRACT FROM TODHUNTER'S ORIGINAL PREFACE . IN offering to students ...
Página 221
... sphere is a solid figure described by the revolu- tion of a semicircle about its diameter , which remains fixed . 15. The axis of a sphere is the fixed straight line about which the semicircle revolves . 16. The centre of a sphere is ...
... sphere is a solid figure described by the revolu- tion of a semicircle about its diameter , which remains fixed . 15. The axis of a sphere is the fixed straight line about which the semicircle revolves . 16. The centre of a sphere is ...
Página 291
... Spherical Trigonometry . THE TWELFTH BOOK . Two propositions are given from the twelfth Book , as they are very important , and are required in the University Examina- tions . The Lemma is the first proposition of the tenth Book , and ...
... Spherical Trigonometry . THE TWELFTH BOOK . Two propositions are given from the twelfth Book , as they are very important , and are required in the University Examina- tions . The Lemma is the first proposition of the tenth Book , and ...
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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