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
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CBA axioms base BC BC is equal bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop PROPOSITION quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal