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

### From inside the book

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Page 3

“ A

“ A

**segment**of a circle is the figure contained by a “ straight line , and the circumference it cuts off . ” XX . Rectilineal figures are those which are contained by straight lines . XXI . Trilateral figures , or triangles , by three ... Page 14

If it be possible , let the two straight lines ABC , ABD have the

If it be possible , let the two straight lines ABC , ABD have the

**segment**AB common to both of them . From the point B drawt BE at right angles to AB ; and because ABC is a straight line , the angle CBE is equal * to the angle EBA ... Page 55

A

A

**segment**of a circle is the figure contained by a straight line and the circumference it cuts off . VII . “ The angle of a**segment**is that which is contained by the straight line and the circumference . " VIII . An angle in a**segment**... Page 71

The angles in the same

The angles in the same

**segment**of a circle are equal to See N. one another . B В 11. 3 . Let ABCD be a circle , and BAD , BEDangles in the same**segment**BAED : the angles BAD , BED shall be equal to one another . First ; let the**segment**... Page 72

See N. Upon the same straight line , and upon the same side of it , there cannot be two similar

See N. Upon the same straight line , and upon the same side of it , there cannot be two similar

**segments**of circles , not coinciding ... And because the**segment**ACB is + Hyp . similar to the**segment**ADB , and that similar seg• 11 Def .### 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