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

### From inside the book

Results 1-5 of 100

Page 13

A To bisect a

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 * off AE 3. Page 14

The straight line FC drawn from the

The straight line FC drawn from the

**given**point C , shall be at right**angles**to the**given**straight line AB . ... base DF is equal t to the base EF ; therefore the**angle**DCF is equal * to the**angle**ECF ; and they are adjacent**angles**. Page 15

The straight line CH , drawn from the

The straight line CH , drawn from the

**given**point C , shall be perpendicular to the**given**straight line AB . ... makes the adjacent**angles**equal to one another , each of them is a right**angle**, and the straight line which stands upon ... Page 21

Because DC , CE are equal to FA , AG , each to each , and the base DE to the base FG ; the

Because DC , CE are equal to FA , AG , each to each , and the base DE to the base FG ; the

**angle**DCE is equal * to the**angle**FAG . Therefore at the * 8. 1 .**given**point A in the**given**straight line AB , the**angle**FAG is made equal to ... Page 27

Therefore the straight line EAF is drawn through the

Therefore the straight line EAF is drawn through the

**given**point A , parallel to the**given**straight line BC . Which was to be done . z 23 : 1 . PROP . XXXII . THEOR . If a side of any triangle be produced , the exterior**angle**is equal ...### 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: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |

### Common terms and phrases

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equimultiples Euclid excess figure fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise logarithm magnitude manner meet multiple opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition proved pyramid radius reason rectangle rectilineal figure remaining right angles segment shewn sides similar sine solid sphere square square of AC taken THEOR third triangle ABC wherefore whole