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

### From inside the book

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Page 2

A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in ... the other line : Thus the angle which is contained by the straight lines , AB , CB , is named the '

A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in ... the other line : Thus the angle which is contained by the straight lines , AB , CB , is named the '

**angle ABC**... Page 8

... at the distance BA , ( D B E describe the circle À CE ; and from the point C , in which the circles cut one another , * 1 Post . draw the straight lines * CA , CB , to the points A , B ;

... at the distance BA , ( D B E describe the circle À CE ; and from the point C , in which the circles cut one another , * 1 Post . draw the straight lines * CA , CB , to the points A , B ;

**ABC**shall be an equilateral**triangle**. Page 10

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 ; and the

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 ; and the

**triangle ABC**to the triangle DEF ; and the other angles to which the equal sides are opposite , shall be equal ... Page 11

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

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

And , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , the parts of which , the angles CBG , BCF are also equal ; therefore the 73 Ax . remaining

And , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , the parts of which , the angles CBG , BCF are also equal ; therefore the 73 Ax . remaining

**angle ABC**is equaltto the remaining**angle ACB**, which ...### What people are saying - Write a review

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### 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