A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página 22
A Let ABC , DEF be two triangles which have the 1 . two sides AB , AC equal to the two sides DE , DF , each to each , namely , 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 ...
A Let ABC , DEF be two triangles which have the 1 . two sides AB , AC equal to the two sides DE , DF , each to each , namely , 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 ...
Página 23
Therefore the whole triangle ABC coincides with the whole triangle DEF , and is equal to it . [ Ax . 8 ] And the other angles of the one coincide with the other angles of the other , and are equal to them , namely , the angle ABC to the ...
Therefore the whole triangle ABC coincides with the whole triangle DEF , and is equal to it . [ Ax . 8 ] And the other angles of the one coincide with the other angles of the other , and are equal to them , namely , the angle ABC to the ...
Página 24
the two sides FA , AC are equal to the two sides GA , AB , each to each ; and they contain the angle FAG common to the two ... the angles CBG , BCF are also equal ; therefore the remaining angle ABC is equal to the remaining angle ACB ...
the two sides FA , AC are equal to the two sides GA , AB , each to each ; and they contain the angle FAG common to the two ... the angles CBG , BCF are also equal ; therefore the remaining angle ABC is equal to the remaining angle ACB ...
Página 25
And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles on the other side of the base . ... Take F in AB , and making AG equal to AF , show that the angles ABC and ACB are equal to one another .
And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles on the other side of the base . ... Take F in AB , and making AG equal to AF , show that the angles ABC and ACB are equal to one another .
Página 28
Let ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , namely AB to DE and AC to DF , and also the base BC equal to the base EF ; the angle BAC shall be 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 , namely AB to DE and AC to DF , and also the base BC equal to the base EF ; the angle BAC shall be equal to the angle EDF .
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... Euclides Vista completa - 1874 |
A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD AC is equal alternate angles angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure remainder result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole
Información bibliográfica
| Título | A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
| Autor | Euclides |
| Editor | Charles MANSFORD |
| Publicado | 1874 |
| Procedencia del original | Biblioteca Británica |
| Digitalizado | 27 Nov. 2020 |
| Exportar cita | BiBTeX EndNote RefMan |