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 273
Euclid has given two demonstrations of III . 9 , of which Simson has chosen the second . Euclid's other demonstration is as follows . Join D with the middle point of the straight line AB ; then it may be shewn that this straight line is ...
Euclid has given two demonstrations of III . 9 , of which Simson has chosen the second . Euclid's other demonstration is as follows . Join D with the middle point of the straight line AB ; then it may be shewn that this straight line is ...
Página 274
Monitor nothing in the demonstration which assumes that the circles cut one another , but the enunciation refers to this case only becauso it is shewn in III . 13 that if two circles touch one another , their circumferences cannot have ...
Monitor nothing in the demonstration which assumes that the circles cut one another , but the enunciation refers to this case only becauso it is shewn in III . 13 that if two circles touch one another , their circumferences cannot have ...
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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 |