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

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Page 8

**Let**AB be the given straight line ; it is required to describe an equilateral triangle upon AB . ... circles cut one another , * 1 Post . draw the straight lines * CA , CB , to the points A , B ;**ABC**shall be an equilateral triangle . Page 10

**Let ABC**, DEF be two A triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; CE F the angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ... Page 11

**Let ABC**be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E : the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . Page 12

**Let ABC**be a triangle having the angle ABC equal to the angle ACB : the side AB shall be equal to the side AC . For , if AB be not equal to AC , one of them is greater than the other : let AB be the greater ; and from it cut * off DB ... Page 14

**Let ABC**, DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and also the base A D G BC equal to the base EF . The angle BAC shall be equal to the angle ...### 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 equilateral equimultiples extremities 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 ratio reason rectangle contained 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