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

### From inside the book

Results 1-5 of 80

Page v

Sir Henry Savile , after the several arguments he brings to

Sir Henry Savile , after the several arguments he brings to

**prove**it , makes this conclusion ( page 13 , Prælect . ) “ That excepting a very few interpolations , explications and additions , Theon altered nothing in Euclid . Page vii

Upon these accounts it appeared necessary , and I hope will

Upon these accounts it appeared necessary , and I hope will

**prove**acceptable to all lovers of accurate reasoning and of mathematical learning , to remove such blemishes . ments to their original accuracy , as far as I was able ... Page 7

... BC is equal to BA : but it has nition . been

... BC is equal to BA : but it has nition . been

**proved**that CA is equal to AB ; therefore CA , CB , are each of them equal to AB : but things which are equal to the same thing are equal * to one another ; - 1st Axtherefore CA is equal ... Page 9

DE , AC shall coincide with DF , because the angle BAC is equal t to the angle EDF ; wherefore also the + Hyp . point C shall coincide with the point F , because the straight line AC + is equal to DF : but the point B was + Hyp .

DE , AC shall coincide with DF , because the angle BAC is equal t to the angle EDF ; wherefore also the + Hyp . point C shall coincide with the point F , because the straight line AC + is equal to DF : but the point B was + Hyp .

**proved**... Page 10

... AC are equal ; the remainder BF is equal * to the remainder CG : and FC was

... AC are equal ; the remainder BF is equal * to the remainder CG : and FC was

**proved**to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB , each to each ; and the angle BFC was**proved**to be equal to the ...### 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