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

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Page v

... as well as

... as well as

**their**Demonstrations , to Theon ; others think the propositions to be Euclid's , but that the Demonstrations are Theon's ; and others maintain , that all the Propositions and**their**Demonstrations are Euclid's own . Page vii

Upon these accounts it appeared necessary , and I hope will prove acceptable to all lovers of accurate reasoning and of mathematical learning , to remove such blemishes . ments to

Upon these accounts it appeared necessary , and I hope will prove acceptable to all lovers of accurate reasoning and of mathematical learning , to remove such blemishes . ments to

**their**original accuracy , as far as I was able ... Page 8

... equal to one another ; they shall likewise have

... equal to one another ; they shall likewise have

**their**bases , or third sides , equal ; and the two triangles shall be equal , and**their**other angles shall be equal , each to each , viz . those to which the equal sides are opposite . Page 9

... each to . each , and have likewise the angles contained by those sides equal to one another ,

... each to . each , and have likewise the angles contained by those sides equal to one another ,

**their**bases shall likewise be equal , and the triangles shall be equal , and**their**other angles to which the equal sides are opposite ... Page 10

... and the base BC is common to the two triangles BFC , CGB ; wherefore these iriangles are equal , * and

... and the base BC is common to the two triangles BFC , CGB ; wherefore these iriangles are equal , * and

**their**remaining angles each to each , to which tlie equal sides are opposite : therefore the angle FBC is equal to the angle GCB ...### 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