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

### From inside the book

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Page 1

The

The

**extremities**of a line are points . iv . A straight line is that which lies evenly between its extreme points . V. A superficies is that which hath only length and breadth . VI . The**extremities**of a superficies are lines . VII . Page 3

XIII , “ A term or boundary is the

XIII , “ A term or boundary is the

**extremity**of any thing . " XIV . A figure is that which is inclosed by one or more boundaries . XV . A circle is a plane figure contained by one line , which is called the circumference , and is such ... Page 13

... one

... one

**extremity**of the base , equal to one another , and likewise those which are terminated in the other**extremity**. ... let there be two triangles ACB , ADB , which have their sides CA , DĂ terminated in the**extremity**A of the base ... Page 14

... and on the same side of it , there cannot be two triangles that have their sides which are terminated in one

... and on the same side of it , there cannot be two triangles that have their sides which are terminated in one

**extremity**of the base equal to one another , and likewise those which are terminated in the other**extremity**. Page 15

... be two triangles that have their sides which are terminated in one

... be two triangles that have their sides which are terminated in one

**extremity**of the base equal to one another , and likewise their sides terminated in the other**extremity**: But this is * impossible ; therefore , if the base BC * 7 .### 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 |

The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid No preview available - 2013 |

### 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