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
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 ...
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
[ 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 angle DEF , and the angle ACB to the angle ... Next , that the angle BAC coincides with EDF .
[ 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 angle DEF , and the angle ACB to the angle ... Next , that the angle BAC coincides with EDF .
Página 28
Let ABC , DEF be two triangles , having the two 1 . 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 1 . 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 .
Página 29
Therefore also the angle BAC coincides with the angle EDF , and is equal to it . [ Ax . 8. ] Therefore , if two triangles & c . Notice that Euclid does not prove the triangles equal in this prop . When triangles are to be proved equal ...
Therefore also the angle BAC coincides with the angle EDF , and is equal to it . [ Ax . 8. ] Therefore , if two triangles & c . Notice that Euclid does not prove the triangles equal in this prop . When triangles are to be proved equal ...
Página 46
Let ABC , DEF be two triangles , which have the two sides AB , AC , equal to the two sides DE , DF , each to each , namely , AB to DE , and AC to DF , but the angle BAC greater than the angle EDF ; the base BC shall be greater than the ...
Let ABC , DEF be two triangles , which have the two sides AB , AC , equal to the two sides DE , DF , each to each , namely , AB to DE , and AC to DF , but the angle BAC greater than the angle EDF ; the base BC shall be greater than the ...
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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 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 drawn equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater half 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 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 |