## 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 8

... AC is equal * to AB ; and because the tinition . point B is the centre of the circle ACE ,

... AC is equal * to AB ; and because the tinition . point B is the centre of the circle ACE ,

**BC is equal**to BA : But it has been proved that CA is equal to AB ; therefore CA , CB , are each of them equal to AB ; but things which are ... Page 9

15 Def . ; the centre D , at the distance DG , describe the circle GKL , AL shall be equal to BC . Because the point B is the K centre of the circle CGH ,

15 Def . ; the centre D , at the distance DG , describe the circle GKL , AL shall be equal to BC . Because the point B is the K centre of the circle CGH ,

**BC is equal*** to BG ; and because D H is the centre of the circle GKL , D DL is ... Page 10

If two triangles have two sides of the one

If two triangles have two sides of the one

**equal**to two sides of the other , each to each ; and have likewise the angles ... AB to DE , and AC to DF ; CE F the angle BAC**equal**to the angle EDF , the base**BC**shall be**equal**to the base EF ... Page 12

... and the angle BFC was proved to be

... and the angle BFC was proved to be

**equal**to theangle CGB , and the base**BC**is common to the two triangles BFC , CGB ; wherefore these triangles are**equal*** , and their remaining angles each to each , to which the**equal**sides are ... Page 13

mon to both , the two sides , DB ,

mon to both , the two sides , DB ,

**BC**are**equal**to the two AC , CB , each to each ; and the angle DBC is**equal**to the angle + ACB ; therefore the fIlyp . base DC is**equal**to the base AB , and the triangle DBC is**equal**to the triangle ...### 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

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 equilateral equimultiples extremities 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 ratio reason rectangle contained 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