## The Elements of Euclid |

### From inside the book

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Page 9

A plane angle is the inclination of two lines to one another See N. " in a plane , which

A plane angle is the inclination of two lines to one another See N. " 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 ... Page 10

... of which the letter that is at the vertex of the angle , that is , at the point in which the straight lines that contain the angle

... of which the letter that is at the vertex of the angle , that is , at the point in which the straight lines that contain the angle

**meet**one another , is put between the other two lette and one of these two is some . Page 13

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 straight line may be drawn from any one point to any other point . Page 14

“ If a straight line

“ If a straight line

**meet**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 ... Page 34

For , if it be not parallel , AB and CD being produced shallmeet either towards B , D , or towards A , C ; let them be produced and

For , if it be not parallel , AB and CD being produced shallmeet 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 triangle , and its exterior angle AEF is ...### 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