The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 41
And the triangle ABC is half of the parallelogram EBCA , because the diameter AB bisects the parallelogram ; [ I. 34 . and the triangle DBC is half of the parallelogram DBCF , because the diameter DC bisects the parallelogram .
And the triangle ABC is half of the parallelogram EBCA , because the diameter AB bisects the parallelogram ; [ I. 34 . and the triangle DBC is half of the parallelogram DBCF , because the diameter DC bisects the parallelogram .
Página 187
Let ABC be a right - angled triangle , having the right angle BAC ; and from the point A , let AD be drawn perpendicular to the base BC : the triangles DBA , DAC shall be similar to the whole triangle ABC , and to one another .
Let ABC be a right - angled triangle , having the right angle BAC ; and from the point A , let AD be drawn perpendicular to the base BC : the triangles DBA , DAC shall be similar to the whole triangle ABC , and to one another .
Página 193
Then , because the triangle ABC is equal to the triangle ADÉ , [ Hypothesis . and that ABD is another triangle , therefore the triangle ABC is to the triangle ABD as the triangle ADE is to the triangle ABD . [ V. 7 .
Then , because the triangle ABC is equal to the triangle ADÉ , [ Hypothesis . and that ABD is another triangle , therefore the triangle ABC is to the triangle ABD as the triangle ADE is to the triangle ABD . [ V. 7 .
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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 |