## A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |

### Dentro del libro

Página iv

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**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

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**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

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**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

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**demonstration**. The**demonstration**is effected by combining the ele- mentary 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 ... Página xi

... proceeds to prove other and more complex truths which are stated in propositions . The constructions employed to aid in

... 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 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 CEA axioms base BC 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 less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop 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