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

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Page 1

A plane superficies is that in which any two points being taken , the straight line between them lies wholly in that superficies . VIII . “ A plane angle is the inclination of two lines to 66 one another in a plane , which

A plane superficies is that in which any two points being taken , the straight line between them lies wholly in that superficies . VIII . “ A plane angle is the inclination of two lines to 66 one another in a plane , which

**meet**together ... Page 2

66 one another in a plane , which

66 one another in a plane , which

**meet**together but are not in the same direction . " IX . A plane rectilineal angle is the inclination of two straight lines to one another , which**meet**together , but are not in the same straight line . Page 5

Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways , do not

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 B 3 BOOK I. - DEFINITIONS . 5 o ... Page 7

If a straight line

If a straight line

**meets**two straight lines , so as to 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**upon that side ... Page 30

For , if it be not parallel , AB and CD being produced will

For , if it be not parallel , AB and CD being produced will

**meet**either towards B , D , or towards A , C : let them be produced and**meet**towards B , D in the point G ; therefore GEF is a * 16. 1. triangle , and its exterior angle AEF is ...### 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 |

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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