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 collection of truths which constitutes the work on Plane Geometry , known as “ Euclid's Elements , ' is arranged in six books , each of which commences with certain definitions . The first book contains also postulates and axioms ...
The collection of truths which constitutes the work on Plane Geometry , known as “ Euclid's Elements , ' is arranged in six books , each of which commences with certain definitions . The first book contains also postulates and axioms ...
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 vii
Moreover the definitions give complete and distinct knowledge of the things defined , and thus prevent ambiguity and confusion . In other words they mark out — define — the precise meaning to be attached to the terms employed ...
Moreover the definitions give complete and distinct knowledge of the things defined , and thus prevent ambiguity and confusion . In other words they mark out — define — the precise meaning to be attached to the terms employed ...
Página viii
... used to transfer distances , and also that all constructions must consist of straight lines and circles only . Axioms . From the elementary properties of geometrical figures stated in the definitions we may at once proceed to reason ...
... used to transfer distances , and also that all constructions must consist of straight lines and circles only . Axioms . From the elementary properties of geometrical figures stated in the definitions we may at once proceed to reason ...
Página ix
The definitions and axioms together include all the fundamental principles from which the truths constituting the science of geometry are deduced . The way in which this is effected is now to be explained . PROPOSITIONS .
The definitions and axioms together include all the fundamental principles from which the truths constituting the science of geometry are deduced . The way in which this is effected is now to be explained . PROPOSITIONS .
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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 |