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
... proper connections while no attempt is made to exhibit the relations of its several parts , or to supply applications and illustrations as the learner proceeds ; no wonder that the subject should prove wearisome and unfruitful .
... proper connections while no attempt is made to exhibit the relations of its several parts , or to supply applications and illustrations as the learner proceeds ; no wonder that the subject should prove wearisome and unfruitful .
Página vi
Thus our representations of lines , angles , triangles , circles , & c . , are all imperfect , as are also the concrete examples of these which we see around us , and all that is said of them in the definitions , or afterwards proved ...
Thus our representations of lines , angles , triangles , circles , & c . , are all imperfect , as are also the concrete examples of these which we see around us , and all that is said of them in the definitions , or afterwards proved ...
Página vii
But his object seems to have been to reduce his assumptions to the narrowest possible limits , and to demand nothing which he was able to prove . The result of this self - INTRODUCTION . vii.
But his object seems to have been to reduce his assumptions to the narrowest possible limits , and to demand nothing which he was able to prove . The result of this self - INTRODUCTION . vii.
Página viii
able to prove . The result of this self - imposed limitation ... Like the other axioms , although they may be illustrated , they cannot be proved , and are self6 common evident to every one who understands the meaning of viii INTRODUCTION .
able to prove . The result of this self - imposed limitation ... Like the other axioms , although they may be illustrated , they cannot be proved , and are self6 common evident to every one who understands the meaning of viii INTRODUCTION .
Página ix
The truths to be proved , and the constructions to be made , set forth in general language , form propositions which are either theorems or problems . The former propose something which is to be proved , the latter something to be done ...
The truths to be proved , and the constructions to be made , set forth in general language , form propositions which are either theorems or problems . The former propose something which is to be proved , the latter something to be done ...
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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 |