A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
Dentro del libro
Página v
Hence it is that the definitions are placed at the very commencement , and it is important that their meaning and their proper relation to the propositions which follow should be clearly understood . DEFINITIONS .
Hence it is that the definitions are placed at the very commencement , and it is important that their meaning and their proper relation to the propositions which follow should be clearly understood . DEFINITIONS .
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 xi
... the second asserts that particular angles ABC , DEF belong to the class of right angles ; and hence what is asserted of all right angles may be asserted concerning them , viz . that they are equal to one another .
... the second asserts that particular angles ABC , DEF belong to the class of right angles ; and hence what is asserted of all right angles may be asserted concerning them , viz . that they are equal to one another .
Página 23
Hence the triangle ABC coincides with DEF . This is one of the most important results in Book I. Ex . 1. Prove by the method used in this proposition that the two triangles into which a square is divided by its diagonal are equal to one ...
Hence the triangle ABC coincides with DEF . This is one of the most important results in Book I. Ex . 1. Prove by the method used in this proposition that the two triangles into which a square is divided by its diagonal are equal to one ...
Página 25
Hence every equilateral triangle is also equiangular . If the pupil finds serious difficulty in mastering this proposition , it will probably be a help to distinguish the triangles spoken of by shading . Or two figures may be drawn ...
Hence every equilateral triangle is also equiangular . If the pupil finds serious difficulty in mastering this proposition , it will probably be a help to distinguish the triangles spoken of by shading . Or two figures may be 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 alternate angles 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 equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater 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 remainder 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 |