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

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Page 310

... except in the case when the figures are triangles : the similar

... except in the case when the figures are triangles : the similar

**position**of the sides which contain the figures ... In the preceding books , Euclid has**given**no definition of equal figures , and it is certain he did not give this ... Page 337

Points , lines , and spaces , are said to be given in posiare either actually exhibited , or can be found . i always the Colex rollon A. is An angle is said to be

Points , lines , and spaces , are said to be given in posiare either actually exhibited , or can be found . i always the Colex rollon A. is An angle is said to be

**given in position**, which is constained by straight lines**given in**... Page 338

Segments of circles are said to be

Segments of circles are said to be

**given in position**and magnitude , when the angles in them are given in magnitude ... A magnitude is said to be greater than another by a given magnitude , when this given magnitude being taken from it ... Page 357

66 Otherwise , « Let AB , C , D , be three mangitudes , the excess “ EB of the first of which AB above the given ... If two lines

66 Otherwise , « Let AB , C , D , be three mangitudes , the excess “ EB of the first of which AB above the given ... If two lines

**given in position**cut one another , the point or See N. points in which they cut one another are given . Page 358

4 Def . late . they can be found * : let these be the points A , B , between which a straight line AB 1 Postu- can be drawn * ; this has an A -B invariable

4 Def . late . they can be found * : let these be the points A , B , between which a straight line AB 1 Postu- can be drawn * ; this has an A -B invariable

**position**, because between two**given**points there can be drawn but one straight ...### 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