The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 109
... EC , together with the squaro on EF , is equal to the rectangle BE , ED , together with the square on EF . Take away the common square on EF ; . then the remaining rectangle AE , EC is equal to tho remaining rectangle BE , ED .
... EC , together with the squaro on EF , is equal to the rectangle BE , ED , together with the square on EF . Take away the common square on EF ; . then the remaining rectangle AE , EC is equal to tho remaining rectangle BE , ED .
Página 142
Let A the first have the same ratio to B the second , that the third has to D the fourth ; and of A and C let there be taken any equimultiples whatever E and F : E shall be to B as F is to D. Take of E and F any equimultiples whatever K ...
Let A the first have the same ratio to B the second , that the third has to D the fourth ; and of A and C let there be taken any equimultiples whatever E and F : E shall be to B as F is to D. Take of E and F any equimultiples whatever K ...
Página 161
Let AE , EB , CF , FD be proportionals ; that is , lot AE be to ÉB as CF is to FD : they shall also be proportionals when taken jointly ; that is , AB shall be to BĖ as CD is to DF Take of AB , BE , CD , DF any equimultiples whatever GH ...
Let AE , EB , CF , FD be proportionals ; that is , lot AE be to ÉB as CF is to FD : they shall also be proportionals when taken jointly ; that is , AB shall be to BĖ as CD is to DF Take of AB , BE , CD , DF any equimultiples whatever GH ...
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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 |