## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |

### 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 Greek editions we now have , I found that Theon , or whoever was the editor of the present Greek text , by

But , by often considering and comparing together the Definitions and Demonstrations as they are in the Greek editions we now have , I found that Theon , or whoever was the editor of the present Greek text , by

**adding**some things ... Page vii

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 Proposition , Book 1st , is altered , and made more explicit , and a ... Page ix

Euclid reduced into regularity and order all the fundamental principles of pure mathematics , which had been delivered down by Thales , Pythagoras , Eudoxus , and other mathematicians before him , and

Euclid reduced into regularity and order all the fundamental principles of pure mathematics , which had been delivered down by Thales , Pythagoras , Eudoxus , and other mathematicians before him , and

**added**many others of his own : on ... Page 5

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 47

... 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 .### What people are saying - Write a review

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The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |

### Common terms and phrases

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