## The Elements of Euclid |

### From inside the book

Page 15

Let AB be the

Let AB be the

**given straight line**; it is required to describe an equilateral triangle upon it . с From the centre A , at the distance AB , describe a the circle & 3. PostuBCD , and from the centre B , at late . the distance BA ... Page 16

Wherefore from the given point A a straight line AL has been drawn equal to the

Wherefore from the given point A a straight line AL has been drawn equal to the

**given straight line**BC . Which was to be done . sh E NO th 11 Y a A 1 В 2 с # 2 21 PROP . III . PROB . t + FROM the greater of two**given straight lines**to ... Page 21

AD ; join DE and upon it describe b А b1.1 . an equilateral triangle DEF ; then join AF ; the

AD ; join DE and upon it describe b А b1.1 . an equilateral triangle DEF ; then join AF ; the

**straight line**AF bisects the angle BAC . ... TO bisect a**given**finite**straight line**, that is , to divide it into two equal parts . Page 22

51 P To draw a straight line at right angles to a

51 P To draw a straight line at right angles to a

**given straight line**, from a given point in the same . 1 21 9 " pe PO 06 1 C 2 Let AB be , a**given straight line**, and C a point given in it : See Note . it is required to draw ... Page 23

D B с A TO draw a straight line perpendicular to a

D B с A TO draw a straight line perpendicular to a

**given straight line**of an unlimited length , from a given point without it . ai Let AB be the**given straight line**, which may be produced to any length both ways , and let C be a point ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### 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