## The Elements of Euclid |

### From inside the book

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Page 11

Quadrilateral , by

Quadrilateral , by

**four**straight lines . XXIII . Multilateral figures , or polygons , by more than**four**straight lines . XXIV . Of three sided figures , an equilateral triangle is that which has three equal sides . XXV . Page 12

Of

Of

**four**sided figures , a square is that which has all its sides equal , and all its angles right angles . 1 XXXI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXXII . Page 13

All other

All other

**four**sided figures besides these , are called trapeziums . XXXV . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . Page 25

Froin this it is manifest , that , if two straight lines cut one another , the angles they make at the point where they cut , are together equal to

Froin this it is manifest , that , if two straight lines cut one another , the angles they make at the point where they cut , are together equal to

**four**right angles .. Cor . 2. And consequently thåt all the angles made by any number of ... Page 37

All the interior angles of any rectilineal figure , together D with

All the interior angles of any rectilineal figure , together D with

**four**right angles , are equal to twice as many right angles as E the figure has sides . For any rectilineal figure ABCDE can be divided into as many triangles as the ...### What people are saying - Write a review

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### Other editions - View all

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid No preview available - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid No preview available - 2016 |

### Common terms and phrases

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prisms produced PROP proportionals proposition pyramid radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole