A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
Dentro del libro
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 viii
Axioms . From the elementary properties of geometrical figures stated in the definitions we may at once proceed to reason ... Concerning these Euclid enunciates other properties in the 10th , 11th and 12th axioms , and these with the ...
Axioms . From the elementary properties of geometrical figures stated in the definitions we may at once proceed to reason ... Concerning these Euclid enunciates other properties in the 10th , 11th and 12th axioms , and these with the ...
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 x
The demonstration is effected by combining the elementary truths contained in the definitions and axioms so as to obtain new truths . These results are then used to establish further and more complex truths , and so the process is ...
The demonstration is effected by combining the elementary truths contained in the definitions and axioms so as to obtain new truths . These results are then used to establish further and more complex truths , and so the process is ...
Página xi
And at each step the references to the definitions ( Def : ' ) , axioms - Ax : ' ) , constructions ( Const : ' ) , & c . , show whence the statements to which they are attached have been derived . Thus starting with the elementary ...
And at each step the references to the definitions ( Def : ' ) , axioms - Ax : ' ) , constructions ( Const : ' ) , & c . , show whence the statements to which they are attached have been derived . Thus starting with the elementary ...
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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 |