The Elements of Euclid, Libros 1-6;Libro 11 |
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Página xvii
The construction then usually follows , which states the necessary straight lines and circles which must be drawn in order to constitute the solution of the problem , or to furnish assistance in the demonstration of the theorem .
The construction then usually follows , which states the necessary straight lines and circles which must be drawn in order to constitute the solution of the problem , or to furnish assistance in the demonstration of the theorem .
Página 150
And it was shewn that FG is not less than K , and EF is greater than D ; [ Construction . therefore the whole EG is greater than K and D together . But K and D together are equal to L ; [ Construction , therefore EG is greater than L.
And it was shewn that FG is not less than K , and EF is greater than D ; [ Construction . therefore the whole EG is greater than K and D together . But K and D together are equal to L ; [ Construction , therefore EG is greater than L.
Página 189
Then , because HE is parallel to KC , [ Construction . one of the sides of the triangle DKC , therefore KH is to HD as CE is to ED . [ VI . 2 . But KH is equal to BG , and HD is equal to GF ' ; therefore BG is to GF as CE is to ED .
Then , because HE is parallel to KC , [ Construction . one of the sides of the triangle DKC , therefore KH is to HD as CE is to ED . [ VI . 2 . But KH is equal to BG , and HD is equal to GF ' ; therefore BG is to GF as CE is to ED .
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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 |