The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 103
But FAC , the exterior angle of the triangle ABC , is equal to the two angles ABC , ACB ; [ I. 32 . therefore the angle BAC is equal to the angle FAC , ( Ax . 1 . and therefore each of them is a right angle . [ I. Def . 10 .
But FAC , the exterior angle of the triangle ABC , is equal to the two angles ABC , ACB ; [ I. 32 . therefore the angle BAC is equal to the angle FAC , ( Ax . 1 . and therefore each of them is a right angle . [ I. Def . 10 .
Página 115
Let ABC be the given circle , and DEF the given triangle : it is required to inscribe in the circle ABC a ... 1 at the point A , in the straight line AH , make the angle HAC equal to the angle DEF ; [ I . 23 . and , at the point A ...
Let ABC be the given circle , and DEF the given triangle : it is required to inscribe in the circle ABC a ... 1 at the point A , in the straight line AH , make the angle HAC equal to the angle DEF ; [ I . 23 . and , at the point A ...
Página 183
And , because the angle DEF is equal to the angle GEF , and the angle GEF is equal to the angle ABC , [ Constr ... the angle ACB is equal to the angle DFE , and the angle at A is equal to the angle at D. Therefore the triangle ABC is ...
And , because the angle DEF is equal to the angle GEF , and the angle GEF is equal to the angle ABC , [ Constr ... the angle ACB is equal to the angle DFE , and the angle at A is equal to the angle at D. Therefore the triangle ABC is ...
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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 |