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

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Page 4

A rhomboid , is that which has its

A rhomboid , is that which has its

**opposite**sides equal to one another , but all its sides are not equal , nor its angles right angles . XXXIV . All other four - sided figures besides these 4 EUCLID'S ELEMENTS . Page 8

... equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , viz . those to which the equal sides are

... equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , viz . those to which the equal sides are

**opposite**. Page 9

to which the equal sides are

to which the equal sides are

**opposite**, shall be equal each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to DEF , so that the point A may be on D , and the straight ... Page 10

... and the remaining angles of the one are equal * to the remaining angles of the other , each to each , to which the equal sides are

... and the remaining angles of the one are equal * to the remaining angles of the other , each to each , to which the equal sides are

**opposite**; viz . the angle D ACF to the angle ABG , and the angle AFC to the angle AGB : and because ... Page 16

E If , at a point , in a straight line , two other straight lines , upon the

E If , at a point , in a straight line , two other straight lines , upon the

**opposite**sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and 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