A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
Dentro del libro
Página iv
... 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 arranged under definite heads ; and it is hoped that with the explanations given ...
... 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 arranged under definite heads ; and it is hoped that with the explanations given ...
Página vii
... demonstrations would have been very much simplified . But his object seems to have been to reduce his assumptions to the narrowest possible limits , and to demand nothing which he was able to prove . The result of this self ...
... demonstrations would have been very much simplified . But his object seems to have been to reduce his assumptions to the narrowest possible limits , and to demand nothing which he was able to prove . The result of this self ...
Página viii
... demonstration . These postulates may be regarded as fixing the instruments which Euclid allows , and in this view they amount to the following : 1. An ungraduated straight edge of unlimited length . 2. A pair of compasses which open to ...
... demonstration . These postulates may be regarded as fixing the instruments which Euclid allows , and in this view they amount to the following : 1. An ungraduated straight edge of unlimited length . 2. A pair of compasses which open to ...
Página x
... demonstration . 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 ...
... demonstration . 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 ...
Página xi
... proceeds to prove other and more complex truths which are stated in propositions . The constructions employed to aid in demonstrating these truths are such as are demanded in the postulates or have been already effected . INTRODUCTION . X1.
... proceeds to prove other and more complex truths which are stated in propositions . The constructions employed to aid in demonstrating these truths are such as are demanded in the postulates or have been already effected . INTRODUCTION . X1.
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 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 |