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

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A

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 one another in a**plane**, which meet together ... Page 2

one another in a

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 3

A circle is a

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 5

Parallel straight lines are such as are in the same

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 XXX. ... Page 214

A straight line is perpendicular , or at right angles , to a

A straight line is perpendicular , or at right angles , to a

**plane**, when it makes right angles with every straight line in that**plane**which meets it . IV . A**plane**is perpendicular to a**plane**, when the straight lines drawn in one of ...### 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 equimultiples 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 Q. E. D. PROP ratio reason 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