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

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Page 34

1. draw CE

1. draw CE

**parallel*** to the E straight line AB : and because AB is**parallel**to CE , and AC meets them , D the alternate angles BAC , * 29. 1. ACE , are equal . * Again , because AB is**parallel**to CE , and BD falls upon them ... Page 35

The straight lines which join the extremities of tưo equal and

The straight lines which join the extremities of tưo equal and

**parallel**straight lines towards the same parts , are also themselves equal and**parallel**. Let AB , CD be equal and**parallel**straight lines , and A B joined towards the same ... Page 36

27.1 . another , AC is

27.1 . another , AC is

**parallel*** to BD : and it was shown to be equal to it . Therefore , straight lines , & c . Q. E. D. * 29. I PROP . XXXIV . THEOR . The opposite sides and angles of parallelograms are equal to one another , and the ... Page 37

Parallelograms upon the same base , and between the same

Parallelograms upon the same base , and between the same

**parallels**, are equal to one another . Let the parallelograms ABCD , EBCF be See the upon the same base BC , and between the same**parallels**AF , BC : the parallelogram ABCD ... Page 38

Parallelograms upon equal bases , and between the sume

Parallelograms upon equal bases , and between the sume

**parallels**, are equal to one another . ... the same parts by the straight lines BE , CH : but straight lines which join the extremities of equal and**parallel**straight lines * 53.### 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

altitude angle ABC angle BAC base base BC BC is equal centre circle ABCD circumference common cone Const contained cylinder demonstrated described diameter divided double draw drawn equal angles equiangular equilateral equimultiples extremities fall figure fore four fourth given given straight line greater half inscribed join less Let ABC likewise magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportionals proved pyramid ratio reason rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle solid parallelopiped sphere square taken THEOR third touches triangle ABC vertex wherefore whole