## 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 10

AB to DE , and AC to DF ; and B CE F the

AB to DE , and AC to DF ; and B CE F the

**angle**BAC**equal**to the**angle**EDF , the base BC shall be**equal**to the base EF ; and the triangle ABC to the triangle and the other**angles**to which the**equal**sides are opposite , shall be**equal**... Page 11

DEF , and is

DEF , and is

**equal**to it ; and the other**angles**of the one coincide with the remaining**angles**of the other , and are**equal**to them , viz . the**angle**ABC to the**angle**DEF , and the**angle**ACB to DFE . Therefore , if two triangles have two ... Page 12

CGB ;

CGB ;

**angle**ABG , and the**angle**AFC to the**angle**AGB : and because the whole AF is**equal**to the whole AG , of which the ... wherefore these triangles are**equal*** , and their remaining**angles**each to each , to which the**equal**sides are ... Page 14

Again , because CB is + Hyp . equalt to DB , the

Again , because CB is + Hyp . equalt to DB , the

**angle**BDC is**equal*** to the**angle**BCD ; but BDC has been proved to be greater than the same BCD : which is impossible . The case in which the vertex of one triangle is upon a side of the ... Page 15

To bisect a given rectilineal angle , that is , to divide it into two

To bisect a given rectilineal angle , that is , to divide it into two

**equal angles**. ... 1 . off AE equal to AD ; join DE , and upon it describe * an equilateral triangle DEF ; then join AF : the straight line AP shall bisect the A ...### 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 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