A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
Dentro del libro
Página iv
Where , however , any special difficulty seemed to demand 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 .
Where , however , any special difficulty seemed to demand 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 .
Página xi
... to the above in which the truth of the conclusion drawn is evident from the very form in which the argument is stated , we may always be certain that the results arrived at by this method are true so long as the premisses are true .
... to the above in which the truth of the conclusion drawn is evident from the very form in which the argument is stated , we may always be certain that the results arrived at by this method are true so long as the premisses are true .
Página xii
The study of a subject so conducted not only teaches us to argue correctly , but trains 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 ...
The study of a subject so conducted not only teaches us to argue correctly , but trains 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 ...
Página 23
The method of proof here einployed is called proof by ' superposition . Note how carefully Euclid fits one triangle upon the other . First he shows that AB exactly coincides with DE .
The method of proof here einployed is called proof by ' superposition . Note how carefully Euclid fits one triangle upon the other . First he shows that AB exactly coincides with DE .
Página 25
The same 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 ...
The same 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 ...
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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 |