The Elements of Euclid, Libros 1-6;Libro 11 |
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a When four magnitudes are proportionals it is usually expressed by saying , the first is to the second as the third is to the fourth . 7. When of the equimultiples of four magnitudes , taken as in the fifth definition , the multiple of ...
a When four magnitudes are proportionals it is usually expressed by saying , the first is to the second as the third is to the fourth . 7. When of the equimultiples of four magnitudes , taken as in the fifth definition , the multiple of ...
Página 136
Permutando , or alternando , by permutation or alternately ; when there are four proportionals , and it is inferred that the first is to the third , as the second is to the fourth . V. 16 . 14. Invertendo , by inversion ; when there are ...
Permutando , or alternando , by permutation or alternately ; when there are four proportionals , and it is inferred that the first is to the third , as the second is to the fourth . V. 16 . 14. Invertendo , by inversion ; when there are ...
Página 137
This term is used simply by itself , when the first magnitude is to the second of the first rank , as the first is to the second of the other rank ; and the second is to the third of the first rank , as the second is to the third of the ...
This term is used simply by itself , when the first magnitude is to the second of the first rank , as the first is to the second of the other rank ; and the second is to the third of the first rank , as the second is to the third of the ...
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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 |