## The Elements of Euclid |

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Page 12

A rhomboid , is that which has its

A rhomboid , is that which has its

**opposite**sides equal to one another , but all its sides are not equal , nor its angles right apgles . Book I. XXXIV . All other four sided figures besides 13 THE ELEMENTS A A A ... Page 16

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

... equal to one another ; they shall likewise bave 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 17

AB to DE , and AC to DF ; A D Book I. and the angle BAC equal to the angle ÉDF , the base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are

AB to DE , and AC to DF ; A D Book I. and the angle BAC equal to the angle ÉDF , the base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are

**opposite**, shall ... Page 18

Q. E. D. COROLLARY . Hence every equilateral triangle is also equi . angular . یه روز PROP . VI . THEOR . IF two angles of a triangle be equal to one another , the sides also which subtend , or are

Q. E. D. COROLLARY . Hence every equilateral triangle is also equi . angular . یه روز PROP . VI . THEOR . IF two angles of a triangle be equal to one another , the sides also which subtend , or are

**opposite**to , the equal angles , shall ... Page 24

IF , at a point in a straight line viner straight lines , upon the

IF , at a point in a straight line viner straight lines , upon the

**opposite**sides of it , inake the adjacent angles together equal to two right angles , these two . straight lines shall be in one and the same straight line .### 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