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 5
Página 27
But the angle ACD is greater than the angle BCD ( Ax . 9 ] , therefore the angle ADC is also greater than the angle BCD ; much more then is the angle BDC greater than the angle BCD . Again , because BC is equal to BD [ Hyp . ] ...
But the angle ACD is greater than the angle BCD ( Ax . 9 ] , therefore the angle ADC is also greater than the angle BCD ; much more then is the angle BDC greater than the angle BCD . Again , because BC is equal to BD [ Hyp . ] ...
Página 31
24 ] , and CD is common to the two triangles ACD , BCD , the two sides , AC , CD are equal to the two sides BC , CD , each to each ; and the angle ACD is equal to the angle BCD [ Con . ] ; therefore the base AD is equal to tho base DB .
24 ] , and CD is common to the two triangles ACD , BCD , the two sides , AC , CD are equal to the two sides BC , CD , each to each ; and the angle ACD is equal to the angle BCD [ Con . ] ; therefore the base AD is equal to tho base DB .
Página 41
the angle ACB ( I. 5 ] ; but it is not [ Hyp : ] ; therefore AC is not equal to AB . ... And because the angle BCD of the triangle BCD is greater than its angle BDC , and that the greater angle is subtended by the greater side [ I. 19 ] ...
the angle ACB ( I. 5 ] ; but it is not [ Hyp : ] ; therefore AC is not equal to AB . ... And because the angle BCD of the triangle BCD is greater than its angle BDC , and that the greater angle is subtended by the greater side [ I. 19 ] ...
Página 62
And because AC is parallel to BD , and BC meets them , the alternate angles ACB , CBD are equal to one another . [ I. 29. ] Therefore the two triangles ABC , BCD have two angles ABC BCA in the one , equal to two angles DCB , CBD in the ...
And because AC is parallel to BD , and BC meets them , the alternate angles ACB , CBD are equal to one another . [ I. 29. ] Therefore the two triangles ABC , BCD have two angles ABC BCA in the one , equal to two angles DCB , CBD in the ...
Página 107
Sides and Angles of Triangles . Conditions of Inequality . Props . 18 , 19 , 20 , 21 , 24 , 25 . 13. If AD is the longest side and BC the shortest of a quadrilateral ABCD , then the angle ABC is greater than ADC , and the angle BCD ...
Sides and Angles of Triangles . Conditions of Inequality . Props . 18 , 19 , 20 , 21 , 24 , 25 . 13. If AD is the longest side and BC the shortest of a quadrilateral ABCD , then the angle ABC is greater than ADC , and the angle BCD ...
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 |