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

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Page vi

... and all these Propositions have , for these

... and all these Propositions have , for these

**reasons**, been insufficiently demonstrated since Theon's time hitherto . Besides , there are several other things , which have nothing of Euclid's vi PREFACE . Page 20

... for the same

... for the same

**reason**, the exterior angle CEB of the triangle ABE is greater than BAC : and it has been demonstrated , that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the angle BAC . Page 31

1 . nated in the same point ; then , because ABCD is a parallelogram , AD is equal * to BC ; for the same

1 . nated in the same point ; then , because ABCD is a parallelogram , AD is equal * to BC ; for the same

**reason**EF is equal to BC ; wherefore AD is equal * to * 1 Ax . EF ; and DE is common ; therefore the whole , or the remainder ... Page 35

Again , because EKHA is a parallelogram , the diameter of which is AK , the triangle AEK is equalt to the triangle AHK ; and for the same

Again , because EKHA is a parallelogram , the diameter of which is AK , the triangle AEK is equalt to the triangle AHK ; and for the same

**reason**, + 34. 1 . the triangle KGČ is equal to the triangle KFC . Page 38

... AG upon the opposite sides of AB , make with it at the point A the adjacent angles F K K equal to two right angles : therefore CA is in the same straight line with AG : for the same

... AG upon the opposite sides of AB , make with it at the point A the adjacent angles F K K equal to two right angles : therefore CA is in the same straight line with AG : for the same

**reason**, AB and AH are in the same straight line .### 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