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
point E , therefore the base BC will coincide with the base EF ; because , B coinciding with E and C with F , if the base BC does not coincide with the base EF , two straight lines will enclose a space ; which is impossible . [ Ax . 10. ] ...
point E , therefore the base BC will coincide with the base EF ; because , B coinciding with E and C with F , if the base BC does not coincide with the base EF , two straight lines will enclose a space ; which is impossible . [ Ax . 10. ] ...
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 . ... and BC is common to both , the two sides DB , BC are equal to the two sides 2 .
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 . ... and BC is common to both , the two sides DB , BC are equal to the two sides 2 .
Página 27
If it be possible , on the C D 1 . same base AB , and on the same side of it , let there be two triangles ACB , ADB , which have their sides CA , DA , terminated in the extremity A of the ... Again , because BC is equal to BD [ Hyp . ] ...
If it be possible , on the C D 1 . same base AB , and on the same side of it , let there be two triangles ACB , ADB , which have their sides CA , DA , terminated in the extremity A of the ... Again , because BC is equal to BD [ Hyp . ] ...
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 .
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Otras ediciones - Ver todas
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 |