A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
Dentro del libro
Resultados 1-5 de 35
Página 19
ABC shall be an equilateral triangle . D AA B В 3 . Because the point A is the centre of the circle BCD , AC is equal to AB . [ Def . 15. ] And because the point B is the centre of the.circle ACE , BC . is equal to BA . [ Def . 15. ] ...
ABC shall be an equilateral triangle . D AA B В 3 . Because the point A is the centre of the circle BCD , AC is equal to AB . [ Def . 15. ] And because the point B is the centre of the.circle ACE , BC . is equal to BA . [ Def . 15. ] ...
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 ... the base BC shall be equal to the base EF , and the triangle ABC to the triangle DEF , B В and the other angles shall ...
Let ABC , DEF be two triangles which have the 1 . two sides AB , AC equal to the two sides DE , DF , each to each ... the base BC shall be equal to the base EF , and the triangle ABC to the triangle DEF , B В and the other angles shall ...
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
... and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is equal to the base ... remaining angle ABC is equal to the remaining angle ACB , which are the angles at the base of the triangle ABC .
... and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is equal to the base ... remaining angle ABC is equal to the remaining angle ACB , which are the angles at the base of the triangle ABC .
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 ...
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
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 |