A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página vi
For this reason geometry is called • abstract science . 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 ...
For this reason geometry is called • abstract science . 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 ...
Página ix
These statements form what is called the general enunciation of the proposition , after which comes the discussion . First , the general enunciation is repeated and applied to a particular figure . By this means the attention is limited ...
These statements form what is called the general enunciation of the proposition , after which comes the discussion . First , the general enunciation is repeated and applied to a particular figure . By this means the attention is limited ...
Página x
... what is called a syllogism , i.e. , an argument stated at length , and in such a form as to show the truth of the reasoning in the most convincing way . Such a syllogism generally takes the following form , which may therefore be ...
... what is called a syllogism , i.e. , an argument stated at length , and in such a form as to show the truth of the reasoning in the most convincing way . Such a syllogism generally takes the following form , which may therefore be ...
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 ...
Página 14
When a straight line standing on another straight line , makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . 11.
When a straight line standing on another straight line , makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . 11.
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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 |