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
Let it be observed then , that the definitions have reference to things which exist in the mind , and not to things which we see around us . A sheet of paper for instance , which is usually taken to represent a plane surface , always ...
Let it be observed then , that the definitions have reference to things which exist in the mind , and not to things which we see around us . A sheet of paper for instance , which is usually taken to represent a plane surface , always ...
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 14
A term or boundary is the extremity of any thing . 14. A figure is that which is enclosed by one or more boundaries . 15. A circle is a plane figure contained by one line , which is called the circumference , and is such , that all ...
A term or boundary is the extremity of any thing . 14. A figure is that which is enclosed by one or more boundaries . 15. A circle is a plane figure contained by one line , which is called the circumference , and is such , that all ...
Página 17
2. That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same POSTULATES .
2. That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same POSTULATES .
Página 18
Things which are equal to the same thing are equal to one another . 2. If equals be added to equals the wholes are equal . 3. If equals be taken from equals the remainders are equal . 4. If equals be added to unequals the wholes are ...
Things which are equal to the same thing are equal to one another . 2. If equals be added to equals the wholes are equal . 3. If equals be taken from equals the remainders are equal . 4. If equals be added to unequals the wholes are ...
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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 |