The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 59
3 If a straight line be divided into any two parts , the 8quares on the whole line , and on one of the parts , are equal to twice the rectangle contained by the whole and that part , together with the square on the other part .
3 If a straight line be divided into any two parts , the 8quares on the whole line , and on one of the parts , are equal to twice the rectangle contained by the whole and that part , together with the square on the other part .
Página 133
Then , of such equal parts as the whole circumference ABCDF contains fifteen , the arc ABC , which is the third part of the whole , contains five , and the arc AB , which is the fifth part of the whole , contains three ; therefore their ...
Then , of such equal parts as the whole circumference ABCDF contains fifteen , the arc ABC , which is the third part of the whole , contains five , and the arc AB , which is the fifth part of the whole , contains three ; therefore their ...
Página 297
Then , since EF is equal to C , KM ( together ) , and in them OP is equal to KM , therefore the remainder , the gnomon UWV , is equal to the remainder C. And since PR is equal to OS , let SR be added to each ; therefore the whole PB is ...
Then , since EF is equal to C , KM ( together ) , and in them OP is equal to KM , therefore the remainder , the gnomon UWV , is equal to the remainder C. And since PR is equal to OS , let SR be added to each ; therefore the whole PB is ...
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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 |