A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página 19
Because the point A is the centre of the circle BCD , AC is equal to AB . [ Def . 15. ] ... But it has been proved that CA is equal to AB ; therefore CA , CB are each of them equal to AB . But things which are equal to the same thing are ...
Because the point A is the centre of the circle BCD , AC is equal to AB . [ Def . 15. ] ... But it has been proved that CA is equal to AB ; therefore CA , CB are each of them equal to AB . But things which are equal to the same thing are ...
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
Therefore the whole triangle ABC coincides with the whole triangle DEF , and is equal to it . ... Let ABC be an isosceles triangle , having the side AB equal to the side AC , and let the straight lines AB , AC be produced to D and E ...
Therefore the whole triangle ABC coincides with the whole triangle DEF , and is equal to it . ... Let ABC be an isosceles triangle , having the side AB equal to the side AC , and let the straight lines AB , AC be produced to D and E ...
Página 24
In BD take any point F , and from AE the greater cut off AG equal to AF the less , [ I. 3. ] and join FC , GB . Because A Fis equal 3 . to AG , [ Con . ] and AB to AC , [ Hyp . ] the two sides FA , AC are equal to the two sides GA ...
In BD take any point F , and from AE the greater cut off AG equal to AF the less , [ I. 3. ] and join FC , GB . Because A Fis equal 3 . to AG , [ Con . ] and AB to AC , [ Hyp . ] the two sides FA , AC are equal to the two sides GA ...
Página 25
Let ABC be a triangle , А 1 . having the angle ABC equal to the angle ACB . The side AC shall be equal to the side AB . For if AC be not equal to AB , one of them is greater than the other . Let AB be the greater , and from it cut off ...
Let ABC be a triangle , А 1 . having the angle ABC equal to the angle ACB . The side AC shall be equal to the side AB . For if AC be not equal to AB , one of them is greater than the other . Let AB be the greater , and from it cut off ...
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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 |