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

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Page ix

... learn from Pappus and Proclus , are the Elements , Data , Introduction to Harmony , Phænomena , Optics , Catoptrics , a Treatise on the Division of Superficies , Porisms , Loci ad Superficiem , Fallacies , and

... learn from Pappus and Proclus , are the Elements , Data , Introduction to Harmony , Phænomena , Optics , Catoptrics , a Treatise on the Division of Superficies , Porisms , Loci ad Superficiem , Fallacies , and

**Four**Books of Conics . Page 3

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 ... Page 4

Of

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 5

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 17

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

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

**four**right angles . Cor . Ž . And consequently that all the angles made by any ...### What people are saying - Write a review

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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