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

### From inside the book

Results 1-5 of 96

Page 4

Of four - sided figures , a

Of four - sided figures , a

**square**is that which has all its sides equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXXII . 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

HI In any right - angled triangle , the

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 ... Page 39

between the same parallels FB , GC : but the doubles of equals are equal * to one another ; therefore the * 6 Ax . parallelogram BL is equal to the

between the same parallels FB , GC : but the doubles of equals are equal * to one another ; therefore the * 6 Ax . parallelogram BL is equal to the

**square**GB . In the same manner , by joining AE , BK , it can be demonstrated , that the ... Page 41

Upon A B describe * the

Upon A B describe * the

**square**ADEB , and through C draw * CF , parallel to AD or BE . Then AE is equal to the rectangles AF , CE : but AE is the**square**of AB ; and AF is the rectangle contained by BA , AC ; for it is contained by DA ...### 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