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

### From inside the book

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Page vii

... at least in mathematical learning , is promoted as far as the limited powers of the mind allow : and which

... at least in mathematical learning , is promoted as far as the limited powers of the mind allow : and which

**likewise**is of the greatest use in the arts both of peace and war , to many of which geometry is absolutely necessary . Page ix

He

He

**likewise**applied himself to the study of mixed mathematics , particularly to astronomy and optics . His works , as we learn from Pappus and Proclus , are the Elements , Data , Introduction to Harmony , Phænomena , Optics , Catoptrics ... Page 8

Because A is the centre of the circle DEF , AE is equal to AD ; but the straight line C is

Because A is the centre of the circle DEF , AE is equal to AD ; but the straight line C is

**likewise**equal to + AD ; whence AE and C are each of them equal to AD ) ; wherefore the straight line AE ... Page 9

Therefore , if two triangles have two sides of the one equal to two sides of the other , each to . each , and have

Therefore , if two triangles have two sides of the one equal to two sides of the other , each to . each , and have

**likewise**the angles contained by those sides equal to one another , their bases shall**likewise**be equal , and the ... Page 11

... and on the same side of it , there cail- See N. not be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and

... and on the same side of it , there cail- See N. not be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and

**likewise**those which are terminated in the other extremity .### 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