A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página iv
The notes are explanatory of the more difficult and important points in the demonstrations , or are designed to bring out new relations between the several parts of the subject . The exercises at the end are carefully graduated and ...
The notes are explanatory of the more difficult and important points in the demonstrations , or are designed to bring out new relations between the several parts of the subject . The exercises at the end are carefully graduated and ...
Página vii
Had Euclid thought good to assume other postulates than these , or to employ constructions without stopping to show how they were to be effected , the subsequent demonstrations would have been very much simplified .
Had Euclid thought good to assume other postulates than these , or to employ constructions without stopping to show how they were to be effected , the subsequent demonstrations would have been very much simplified .
Página viii
... may be the value of it , lies in the mental satisfaction we derive from seeing a man triumphing over difficulties and bringing the greatest possible number of truths in his subject within the circle of strict demonstration .
... may be the value of it , lies in the mental satisfaction we derive from seeing a man triumphing over difficulties and bringing the greatest possible number of truths in his subject within the circle of strict demonstration .
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 xii
The statements advanced in the course of the demonstration are drawn from certain recognised and specified sources ; and the arguments are cast in such a form as to ensure that the conclusion shall be correctly drawn .
The statements advanced in the course of the demonstration are drawn from certain recognised and specified sources ; and the arguments are cast in such a form as to ensure that the conclusion shall be correctly drawn .
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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 |