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

### From inside the book

Results 1-5 of 62

Page 37

To describe a

To describe a

**square**upon a given straight line . Let AB be the given straight line ; it is required to describe a**square**upon AB . From the point A draw ***AC**at right angles to AB ; - 11.1 . and make * AD equal to AB : through the ... Page 38

Let ABC be a right - angled triangle , having the right angle BAC : the

Let ABC be a right - angled triangle , having the right angle BAC : the

**square**described upon the side BC shall be equal to the**squares**described upon BA ,**AC**. On BC describe * the**square**BDEC , and on BA ,**AC**... Page 39

... and the

... and the

**squares**GB , HC upon BA ,**AC**; therefore the**square**upon the side BC is equal to the**squares**upon the ... If the**square**described upon one of the sides of a triangle , be equal to the**squares**described upon the other two ... Page 41

Let the straight line AB be divided into any two parts in the point C : the rectangle contained by AB , BC , together with the rectangle | AB ,

Let the straight line AB be divided into any two parts in the point C : the rectangle contained by AB , BC , together with the rectangle | AB ,

**AC**shall be equal to the**square**of AB . Upon A B describe * the**square**ADEB , and through C ... Page 42

Let the straight line AB be divided into any two parts in the point C : the rectangle AB , BC shall be equal to the rectangle

Let the straight line AB be divided into any two parts in the point C : the rectangle AB , BC shall be equal to the rectangle

**AC**, CB , together with the**square**of BC . Upon BC describe * the**square**CDEB , and produce ED to F ...### 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