A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
Dentro del libro
Página 29
Therefore also the angle BAC coincides with the angle EDF , and is equal to it . ... The demonstration of this prop . may be conducted thus : For let the triangle DEF be applied to ABC so that the bases may coincide , and the vertices ...
Therefore also the angle BAC coincides with the angle EDF , and is equal to it . ... The demonstration of this prop . may be conducted thus : For let the triangle DEF be applied to ABC so that the bases may coincide , and the vertices ...
Página 31
Describe on it an equilateral triangle ABC [ I. 1 ] , and bisect the angle ACB by the straight line CD . [ I. 9. ] AB shall be cut into two equal A parts at the point D. Because AC is equal to CB [ Def . 24 ] , and CD is common to the ...
Describe on it an equilateral triangle ABC [ I. 1 ] , and bisect the angle ACB by the straight line CD . [ I. 9. ] AB shall be cut into two equal A parts at the point D. Because AC is equal to CB [ Def . 24 ] , and CD is common to the ...
Página 35
ABD : these either are two right angles , or are together equal to two right angles . ... Again , the angle DBA is equal to the two angles DBE , EBA ; to each of these equals add the angle ABC ; therefore the angles DBA , ABC are equal ...
ABD : these either are two right angles , or are together equal to two right angles . ... Again , the angle DBA is equal to the two angles DBE , EBA ; to each of these equals add the angle ABC ; therefore the angles DBA , ABC are equal ...
Página 36
At the point B in the straight line AB , let the two straight lines BC , BD , on the opposite sides of AB , make the adjacent angles ABC , ABD together equal to two right angles : BD shall be in the same straight line with CB .
At the point B in the straight line AB , let the two straight lines BC , BD , on the opposite sides of AB , make the adjacent angles ABC , ABD together equal to two right angles : BD shall be in the same straight line with CB .
Página 38
If one side of a triangle be produced , the exterior angle shall be greater than either of the interior opposite angles . 1 . Let ABC be a triangle , and let one side BC be produced to D : the exterior angle ACD shall be greater than ...
If one side of a triangle be produced , the exterior angle shall be greater than either of the interior opposite angles . 1 . Let ABC be a triangle , and let one side BC be produced to D : the exterior angle ACD shall be greater than ...
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 |