A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
Dentro del libro
Página iv
... it , a short explanation has been added for the pupil's guidance . The text is Simson's , arranged in paragraphs according to approved modern methods . INTRODUCTION . THE collection of truths which constitutes the work 1V PREFACE .
... it , a short explanation has been added for the pupil's guidance . The text is Simson's , arranged in paragraphs according to approved modern methods . INTRODUCTION . THE collection of truths which constitutes the work 1V PREFACE .
Página xi
... method are true so long as the premisses are true . But in Euclid the assertions contained in the premisses are either , 1 : truths contained in the definitions and axioms , or 2 : truths which are given in the supposition of the ...
... method are true so long as the premisses are true . But in Euclid the assertions contained in the premisses are either , 1 : truths contained in the definitions and axioms , or 2 : truths which are given in the supposition of the ...
Página xii
... to habits of precision in the use of terms and to a proper appreciation of the value of order and method , thus affording mental discipline of a most important kind . EUCLID'S ELEMENTS . BOOK I. DEFINITIONS . 1. A POINT xii INTRODUCTION .
... to habits of precision in the use of terms and to a proper appreciation of the value of order and method , thus affording mental discipline of a most important kind . EUCLID'S ELEMENTS . BOOK I. DEFINITIONS . 1. A POINT xii INTRODUCTION .
Página 23
... method of proof here employed is called proof by ' superposition . ' Note how carefully Euclid fits one triangle upon the other . First he shows that AB exactly coincides with DE . Next , that the angle BAC coincides with EDF . Thirdly ...
... method of proof here employed is called proof by ' superposition . ' Note how carefully Euclid fits one triangle upon the other . First he shows that AB exactly coincides with DE . Next , that the angle BAC coincides with EDF . Thirdly ...
Página 25
... method may be employed with BFC , BGC . But as a final exercise the proposition should be mastered as it stands . A Corollary to a theorem is a truth easily deduced from that theorem . Ex . 1. Take F in AB , and making AG equal to AF ...
... method may be employed with BFC , BGC . But as a final exercise the proposition should be mastered as it stands . A Corollary to a theorem is a truth easily deduced from that theorem . Ex . 1. Take F in AB , and making AG equal to AF ...
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 |