## The Elements of Euclid |

### From inside the book

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Page v

... I found that Theon , or whoever was the editor of the present Greek text , by

... I found that Theon , or whoever was the editor of the present Greek text , by

**adding**some things , suppressing others , and mixing his own with Euclid's demonstrations , had changed more things to the worse than is commonly supposed ... Page viii

In this edition , Ptolemy's proposition concerning a property of quadrilateral figures in a circle is

In this edition , Ptolemy's proposition concerning a property of quadrilateral figures in a circle is

**added**at the end of the sixth book . Also the note on the 29th prop . book 1st , is altered , and made more explicit , and a more ... Page 13

If equals be

If equals be

**added**to equals , the wholes are equal . III . If equals be taken from equals , the remainders are equal . IV . If equals be**added**to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders ... Page 58

... and XH make up the figure AEFD , which is the square of AD : therefore four times the rectangle AB , BC , together with the square of AC , is equal to the square of AD , that is , of AB and BC

... and XH make up the figure AEFD , which is the square of AD : therefore four times the rectangle AB , BC , together with the square of AC , is equal to the square of AD , that is , of AB and BC

**added**together in one straight line . Page 112

It is also equiangular ; because the circumference AB is equal to the circumference DE : if to each be

It is also equiangular ; because the circumference AB is equal to the circumference DE : if to each be

**added**BCD , the whole ABCD is equal to the whole EDCB : and the angle AED stands on the circumference ABCD , and the angle BAE on the ...### 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