A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página iii
When a book on such a subject is put into the hands of a pupil , and he is required to master a whole body of new truths in their proper connections while no attempt is made to exhibit the relations of its several parts , or to supply ...
When a book on such a subject is put into the hands of a pupil , and he is required to master a whole body of new truths in their proper connections while no attempt is made to exhibit the relations of its several parts , or to supply ...
Página v
The first book contains also postulates and axioms , which , with the accompanying definitions , underlie the whole subject , and form the groundwork of all the truths established in the following books .
The first book contains also postulates and axioms , which , with the accompanying definitions , underlie the whole subject , and form the groundwork of all the truths established in the following books .
Página vi
A further point to be noticed in regard to the definitions is the relation in which they stand to the whole system of geometry . It has been already remarked that they form the groundwork of an the entire subject .
A further point to be noticed in regard to the definitions is the relation in which they stand to the whole system of geometry . It has been already remarked that they form the groundwork of an the entire subject .
Página ix
It will be observed that these last three axioms just referred to , being geometrical truths assumed without proof , form , with the postulates , the whole of Euclid's geometrical demands , and hence are sometimes classed with the ...
It will be observed that these last three axioms just referred to , being geometrical truths assumed without proof , form , with the postulates , the whole of Euclid's geometrical demands , and hence are sometimes classed with the ...
Página 18
The whole is greater than its part . 10. Two straight lines cannot enclose a space . 11 . All right angles are equal to one another . 12. Two straight lines which cut one another cannot both be parallel to a third straight line .
The whole is greater than its part . 10. Two straight lines cannot enclose a space . 11 . All right angles are equal to one another . 12. Two straight lines which cut one another cannot both be parallel to a third straight line .
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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 |