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

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Page 3

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 . XVI . Page 7

From the centre A , at the distance AB , describe * the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another ,

From the centre A , at the distance AB , describe * the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another ,

**draw**the straight lines * CA ... Page 8

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 . PROP . III . PROB . F * 2.1 . From the greater of two given straight lines to cut off a part equal to the ... Page 14

The straight line FC

The straight line FC

**drawn**from the given point C , shall be at right angles to the given straight line AB . Because DC is equal t to CE , and FC common to the two triangles DCF , ECF ; the two sides DC , CF , are equal to the two EC ... Page 15

The straight line CH ,

The straight line CH ,

**drawn**from the given point C , shall be perpendicular to the given straight line AB . Join CF , CG : and because FH is equal + to HG , and + Constr . HC common to the two triangles FHC , GHC , the two sides FH ...### 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