The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 42
Join AD . AD shall be parallel to BC . For if it is not , through A draw AE parallel to BC , meeting BD at E. [ I. 31 . and join EC . B Then the triangle ABC is equal to the triangle EBC , because they are on the same base BC ...
Join AD . AD shall be parallel to BC . For if it is not , through A draw AE parallel to BC , meeting BD at E. [ I. 31 . and join EC . B Then the triangle ABC is equal to the triangle EBC , because they are on the same base BC ...
Página 84
If two circles touch one another externally , the straight line which joins their centres shall pass through the point of ... pass through the point A. For , if not , let it pass otherwise , if posB sible , as FCDG , and join FA , AG .
If two circles touch one another externally , the straight line which joins their centres shall pass through the point of ... pass through the point A. For , if not , let it pass otherwise , if posB sible , as FCDG , and join FA , AG .
Página 266
Join BD , CD . The triangles DBC and DEP are equal , by I. 38 ; the triangles A BC and DEP are equal ... manner if he had mado GH equal to BA and then joining HA had proved that HA was parallel to GB by the thirty - third proposition .
Join BD , CD . The triangles DBC and DEP are equal , by I. 38 ; the triangles A BC and DEP are equal ... manner if he had mado GH equal to BA and then joining HA had proved that HA was parallel to GB by the thirty - third proposition .
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Términos y frases comunes
ABCD angle ABC angle ACB angle BAC Axiom base BC is equal bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole
Información bibliográfica
| Título | The Elements of Euclid, Libros 1-6;Libro 11 Tema 891 de Everyman's library Tema 891 de Everyman's library, ed. by Ernest Rhys. Science. [No. 891] Tema 891 de Everyman's library: Science |
| Autor | Euclid |
| Editores | Isaac Todhunter, Robert Simson |
| Editor | J.M. Dent & Sons, Limited, 1933 |
| Procedencia del original | Universidad de California, Berkeley |
| Digitalizado | 5 Ago. 2019 |
| Largo | 298 páginas |
| Exportar cita | BiBTeX EndNote RefMan |