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

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Page xi

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**produced**a sin . gular capacity for investigating the truths of mathematical science . By such talents , and with a correct taste , formed by the study of the Greek geometers , he was also peculiarly qualified for communicating his ... Page 5

Parallel straight lines , are such as are in the same plane , and which being

Parallel straight lines , are such as are in the same plane , and which being

**produced**ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . Page 6

“ If a straight line meet two , straight lines , so as to 66 make the two interior angles on the same side of " it taken together less than two right angles , these “ straight lines being continually

“ If a straight line meet two , straight lines , so as to 66 make the two interior angles on the same side of " it taken together less than two right angles , these “ straight lines being continually

**produced**, shall at “ length meet ... Page 7

1 . and

1 . and

**produce*** the straight lines DA , DB , to E and F ; * 2 Post . from the centre B , at the distance BC describe * the cir- * 3 Post . cle CGH , and from the centre D , at the distance DG describe the circle GKL . Page 9

The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be

The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be

**produced**, the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal ...### 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