## The Elements of Euclid |

### From inside the book

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Page v

But , by often considering and comparing together the definitions and demonstrations as they are in the

But , by often considering and comparing together the definitions and demonstrations as they are in the

**Greek**editions we notu have , I found that Theon , or whoever was the editor of the present**Greek**text , by adding some things ... Page 82

And this is all that is to be understood , when , + in the

And this is all that is to be understood , when , + in the

**Greek**text and translations from it , the angle of the 6 semicircle is said to be greater than any acute rectilineal angle , and the remaining angle less than any rectilineal ... Page 93

... circunference of the greater segment ABC falls without the right angle CAB , but the circumference of the less segment ADC falls within the right angle CAI ' , “ And this is all that is meant when in the

... circunference of the greater segment ABC falls without the right angle CAB , but the circumference of the less segment ADC falls within the right angle CAI ' , “ And this is all that is meant when in the

**Greek**text E 2 Book III . Page 273

Vertex is put in place of altitude which is in the

Vertex is put in place of altitude which is in the

**Greek**, because the pyramid , in what follows , is supposed to be circumscribed about the cone , and so must have the same vertex . And the same change is made in some places following ... Page 295

CRITICAL AND GEOMETRICAL ; 1 CONTAINING AN ACCOUNT OF THOSE THINGS IN WHICH THIS EDITION DIFFERS FROM THE

CRITICAL AND GEOMETRICAL ; 1 CONTAINING AN ACCOUNT OF THOSE THINGS IN WHICH THIS EDITION DIFFERS FROM THE

**GREEK**TEXT : AND THE REASONS OF THE ALTERATIONS WHICH HAVE BEEN MADE . AS ALSO OBSERVATIONS ON SOME OF THE PROPOSITIONS .### What people are saying - Write a review

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### Other editions - View all

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid No preview available - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid No preview available - 2016 |

### Common terms and phrases

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prisms produced PROP proportionals proposition pyramid radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole