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 9
AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ; and the triangle ÅBC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal ...
AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ; and the triangle ÅBC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal ...
Página 13
The angle BAC is equal to the angle EDF . D G А F B For if the triangle ABC be applied to DEF , so that the point B be on E , and the straight line BC upon EF ; 1 . The point C shall coincide with the point F , because BC ' is equal to ...
The angle BAC is equal to the angle EDF . D G А F B For if the triangle ABC be applied to DEF , so that the point B be on E , and the straight line BC upon EF ; 1 . The point C shall coincide with the point F , because BC ' is equal to ...
Página 14
The angle DAF is equal to the angle EAF ; wherefore 4 . 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 ...
The angle DAF is equal to the angle EAF ; wherefore 4 . 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 ...
Página 20
BAC , ACB , as also CAB , ABC , are less than two right angles . Therefore any two angles , & c . Q.E.D. PROP . XVIII . - THEOREM . The greater side of every triangle is opposite to the greater angle .
BAC , ACB , as also CAB , ABC , are less than two right angles . Therefore any two angles , & c . Q.E.D. PROP . XVIII . - THEOREM . The greater side of every triangle is opposite to the greater angle .
Página 22
The angle ADC is equal to ACD ; but the angle BCD is greater than the angle ACD ; therefore 2 . ... BD and DC are less than the other two sides BA , AC , of the triangle , but contain an angle BDC greater than the angle BAC .
The angle ADC is equal to ACD ; but the angle BCD is greater than the angle ACD ; therefore 2 . ... BD and DC are less than the other two sides BA , AC , of the triangle , but contain an angle BDC greater than the angle BAC .
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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 |