## The Elements of Euclid |

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Page 11

A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines

A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines

**drawn**from a certain point within the figure to the circumference , are equal to one another : ور XVI . Page 15

PostuBCD , and from the centre B , at late . the distance BA , describe the A circle ACE ; and from the point B E C , in which the circles cut one another ,

PostuBCD , and from the centre B , at late . the distance BA , describe the A circle ACE ; and from the point B E C , in which the circles cut one another ,

**draw**the straight lines b b 2. Post . CA , CB to the points A , B ; ABC shall ... Page 16

Wherefore from the given point A a straight line AL has been

Wherefore from the given point A a straight line AL has been

**drawn**equal to the given straight line BC . Which was to be done . sh E NO th 11 Y a A 1 В 2 с # 2 21 PROP . III . PROB . t + FROM the greater of two given straight lines to ... Page 22

51 P To

51 P To

**draw**a straight line at right angles to a given straight line , from a given point in the same . ... F upon DE describe b the equib 1.1 , lateral triangle DFE , and join FC ; the straight line FC**drawn**from the given point C is ... Page 23

D B с A TO

D B с A TO

**draw**a straight line perpendicular to a given straight line of an unlimited length , from a given point without ... CH , CG ; the straight line CH ,**drawn**from the given point C , is perpendir to the given straight line AB .### 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