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

### From inside the book

Page 5

And that a circle may be

And that a circle may be

**described**from any centre , at any distance from that centre . AXIOMS . I. Things which are equal to the same thing , are equal to one another . II . If equals be added to equals , the wholes are equal . III . Page 7

... and it is

... and it is

**described**upon the given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given ... Page 34

... and it has one of its angles CEF equal to the given angle D : wherefore a parallelogram FECG has been

... and it has one of its angles CEF equal to the given angle D : wherefore a parallelogram FECG has been

**described**equal to the given triangle ABC , having one of its angles CEF equal to the given angle D. Which was to be done . Page 37

Therefore the parallelogram KFLM has been

Therefore the parallelogram KFLM has been

**described**equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . Cor . From this it is manifest how to a given straight line to ... Page 38

HI In any right - angled triangle , the square which is

HI In any right - angled triangle , the square which is

**described**upon the side subtending the right angle , is equal to the squares**described**upon the sides which contain the right angle . Let ABC be a right - angled triangle , having ...### 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