The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
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Página 13
To bisect a given rectilineal angle , that is , to divide it into troo equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( I. 3. ) off AE equal to AD ; join DE ...
To bisect a given rectilineal angle , that is , to divide it into troo equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( I. 3. ) off AE equal to AD ; join DE ...
Página 14
The angle BAC is bisected by the straight line AF . Which was to be done . PROP . X. -PROBLEM . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to ...
The angle BAC is bisected by the straight line AF . Which was to be done . PROP . X. -PROBLEM . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to ...
Página 16
the circle EGF meeting , AB in F , G ; and bisect ( I. 10. ) FG in H , and join CH ; the straight line CH , drawn from the given point C , is perpendicular to the given straight line AB . E HI A F G B Join CF , CG ; and because FH is ...
the circle EGF meeting , AB in F , G ; and bisect ( I. 10. ) FG in H , and join CH ; the straight line CH , drawn from the given point C , is perpendicular to the given straight line AB . E HI A F G B Join CF , CG ; and because FH is ...
Página 19
In the same manner , if the side BC be bisected , it may be demonstrated that the angle BCG that is ( I. 15. ) 6 6. The angle ACD is greater than the angle ABC . Therefore if one side , & c . Q.E.D. PROP . XVII .-- THEOREM .
In the same manner , if the side BC be bisected , it may be demonstrated that the angle BCG that is ( I. 15. ) 6 6. The angle ACD is greater than the angle ABC . Therefore if one side , & c . Q.E.D. PROP . XVII .-- THEOREM .
Página 39
It is required to describe a parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect ( I. 10. ) BC in E , join AE , and at the point E in the straight line EC make ( I. 23. ) ...
It is required to describe a parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect ( I. 10. ) BC in E , join AE , and at the point E in the straight line EC make ( I. 23. ) ...
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Términos y frases comunes
AB is equal ABC is equal ABCD angle ABC angle ACB angle AGH angle BAC angle BCD angle equal base BC bisected centre circle ABC circumference coincide common demonstrated describe diameter distance divided double draw equal angles exterior angle extremity fall figure four given circle given point given straight line gnomon greater impossible inscribed join less Let ABC Let the straight likewise manner meet opposite angles parallel parallelogram pass pentagon perpendicular point F PROBLEM produced Q.E.D. PROP reason rectangle contained rectilineal figure remaining angle right angles segment semicircle shown side BC sides square of AC straight line AC Take touches the circle triangle ABC twice the rectangle wherefore whole
Información bibliográfica
| Título | The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
| Autores | EUCLID., Samuel A. GOOD |
| Edición | 2 |
| Editor | Charles Henry Law, 1854 |
| Procedencia del original | Biblioteca Británica |
| Digitalizado | 10 Dic. 2013 |
| Largo | 120 páginas |
| Exportar cita | BiBTeX EndNote RefMan |