A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página v
The same is true of all other surfaces . But although we cannot find a surface perfectly level in every direction and perfectly smooth in every part , we can easily imagine a “ Plane superficies in which any two ...
The same is true of all other surfaces . But although we cannot find a surface perfectly level in every direction and perfectly smooth in every part , we can easily imagine a “ Plane superficies in which any two ...
Página vi
What is here said of the plane , line , and point is equally true of all the objects mentioned in the definitions . They are purely mental conceptions . Thus our representations of lines , angles , triangles , circles , & c . , are all ...
What is here said of the plane , line , and point is equally true of all the objects mentioned in the definitions . They are purely mental conceptions . Thus our representations of lines , angles , triangles , circles , & c . , are all ...
Página ix
... form , with the postulates , the whole of Euclid's geometrical demands , and hence are sometimes classed with the postulates ; while the first nine axioms are notions ' which are true of all magnitudes whatever .
... form , with the postulates , the whole of Euclid's geometrical demands , and hence are sometimes classed with the postulates ; while the first nine axioms are notions ' which are true of all magnitudes whatever .
Página x
Lastly comes the demonstration , which shows by a connected course of reasoning that the statement contained in the proposition is true , or that the problem proposed has been solved . The following , therefore , exhibits the parts of a ...
Lastly comes the demonstration , which shows by a connected course of reasoning that the statement contained in the proposition is true , or that the problem proposed has been solved . The following , therefore , exhibits the parts of a ...
Página xi
The two first statements are called the premisses , and the last the conclusion ; and it will be noticed that the principle which underlies and justifies the reasoning is this , that whatever is true of an entire class must be true of ...
The two first statements are called the premisses , and the last the conclusion ; and it will be noticed that the principle which underlies and justifies the reasoning is this , that whatever is true of an entire class must be true of ...
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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 |