## A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |

### Dentro del libro

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Página vii

... 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

... 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 - INTRODUCTION . vii. Página viii

The

The

**result**of this self - imposed limitation is , that many of the constructions are very complicated even where the object to be attained is very simple ; as for example in prop . 3 , where five circles have to be described in order to ... Página x

These

These

**results**are then used to establish further and more complex truths , and so the process is continued until all the truths which constitute the science of geometry are demonstrated , and their relation to each other exhibited . 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

... 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

Every new

Every new

**result**thus established is felt to be as true as those from which it has been deduced , and becomes in its turn a sure stepping - stone to still further**results**, So we are conducted steadily and surely , step by step , to the ...### Comentarios de la gente - Escribir un comentario

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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 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 drawn 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 shew side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole