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

### From inside the book

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Page 5

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 , are called Trapeziums . XXXV . Page 10

... 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 11

... the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles shall be equal , and their other angles to which the equal sides are

... the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles shall be equal , and their other angles to which the equal sides are

**opposite**shall be equal , each to each . Page 12

THEOR , If twoangles of a triangle be equal to one another , the sides also which subtend or are

THEOR , If twoangles of a triangle be equal to one another , the sides also which subtend or are

**opposite**to the equal angles , shall be equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB : the side ... Page 19

Wherefore , when † 1 Am . a straight line , & c . Q. E. D. PROP . XIV . THEOR . If , at a point in a straight line , two other straight lines , upon the

Wherefore , when † 1 Am . a straight line , & c . Q. E. D. PROP . XIV . THEOR . If , at a point in a straight line , two other straight lines , upon the

**opposite**sides of it , make the adjacent ungles together equal to two right angles ...### 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

altitude angle ABC angle BAC base base BC BC is equal centre circle ABCD circumference common cone Const contained cylinder demonstrated described diameter divided double draw drawn equal angles equiangular equimultiples fall figure fore four fourth given given straight line greater half inscribed join less Let ABC likewise magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportionals proved pyramid Q. E. D. PROP ratio reason rectilineal figure remaining angle right angles segment shown sides similar solid solid angle solid parallelopiped sphere square taken THEOR third touches triangle ABC vertex wherefore whole