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

### From inside the book

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Page 8

Let AB be the

Let AB be the

**given**straight line ; it is required to describe an equilateral triangle upon AB . From the centre A , at the * 3 Pos . distance AB , describe * the tulate . circle BCD , and from the centre B , at the distance BA , DA B E ... Page 9

Wherefore from 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 . PROP . III . PROB . B * 2.1 . From the greater of two**given**straight lines to cut off a part equal to the ... Page 15

To bisect a

To bisect a

**given**rectilineal angle , that is , to divide it into two equal angles . Let BAC be the**given**rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut * * 3 . Page 16

To bisect a

To bisect a

**given**finite straight line , that is , to divide it into two equal parts . Let AB be the**given**straight line ; it is required to divide it into two equal parts . Describe upon it an equilateral triangle and bisect * the ... Page 17

Wherefore , from the

Wherefore , from the

**given**point C , in the**given**straight line AB , FC has been drawn at right angles to AB . Which was to be done . Cor . — By help of this problem , it may be demonstrated , that two straight lines cannot have a ...### 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