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 8
BC is equal to BG ; and because D is the centre of the circle GLK , 2 . ... The straight line AL is equal to BC . ... If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the ...
BC is equal to BG ; and because D is the centre of the circle GLK , 2 . ... The straight line AL is equal to BC . ... If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the ...
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 10
The remainder BF shall be equal to the remainder CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB , each to each ; and the angle BFC is equal to the angle CGB , and the base BC is ...
The remainder BF shall be equal to the remainder CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB , each to each ; and the angle BFC is equal to the angle CGB , and the base BC is ...
Página 11
If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be ... sides DB , BC , are equal to the two AC , CB , each to each ; and the angle DBC is equal ( Hyp . ) ...
If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be ... sides DB , BC , are equal to the two AC , CB , each to each ; and the angle DBC is equal ( Hyp . ) ...
Página 13
Let ABC , DEF , be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and also the base BC equal to the base EF . The angle BAC is equal to the angle EDF .
Let ABC , DEF , be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and also the base BC equal to the base EF . The angle BAC is equal to the angle EDF .
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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 |