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

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Page 2

... When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a

... When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a

**perpendicular**to it . Page 14

To draw a straight line

To draw a straight line

**perpendicular**to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it ... Page 15

The straight line CH , drawn from the given point C , shall be

The straight line CH , drawn from the given point C , shall be

**perpendicular**to the given straight line AB . Join CF , CG : and because FH is equal + to HG , and + Constr . HC common to the two triangles FHC , GHC , the two sides FH ... Page 50

XII . THEOR . In obtuse angled triangles , if a

XII . THEOR . In obtuse angled triangles , if a

**perpendicular**be drawn from either of the acute angles to the opposite side pro* 4.2 . ť 2 Axo 1 duced , the square 50 EUCLID'S ELEMENTS . Page 51

... the

... the

**perpendicular**falls , and the straight line intercepted without the triangle between the**perpendicular**and the ... having the obtuse angle ACB , and from the point A let AD be drawn ***perpendicular**to BC produced : the square of ...### 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