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

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Page 4

An isosceles triangle is that which has only two

An isosceles triangle is that which has only two

**sides**equal . ΔΔΔ XXVI . A scalene triangle , is that which has three unequal**sides**. XXVII . A right angled triangle , is that which has a right angle . XXVIII . Page 8

If two triangles have two

If two triangles have two

**sides**of the one equal to two**sides**of the other , each to each ; and have likewise the angles contained by those**sides**equal to one another ; they shall likewise have their bases , or third**sides**, equal ; and ... Page 9

to which the equal

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

If two angles of a triangle be equal to one another , the

If two angles of a triangle be equal to one another , the

**sides**also which subtend , or are opposite to , the equal ... Let ABC be a triangle having the angle ABC equal to the angle ACB : the**side**AB shall be equal to the**side**AC . Page 11

CD Upon the same base , and on the same

CD Upon the same base , and on the same

**side**of it , there cail- See N. not be two triangles that have their**sides**which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the ...### 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