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

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Page 8

... at the distance BA , ( D B E describe the circle À CE ; and from the point C , in which the circles cut one another , * 1 Post . draw the straight lines * CA , CB , to the points A , B ;

... at the distance BA , ( D B E describe the circle À CE ; and from the point C , in which the 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 ... and the

Let ABC , DEF be two A triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each ... and the

**triangle ABC**to the triangle DEF ; and the other angles to which the equal sides are opposite , shall be equal ... Page 11

Therefore , if two

Therefore , if two

**triangles**have two sides of the one equal to two sides of the other , each to each , and have likewise ... Let**ABC**be an isosceles**triangle**, of which the side AB is equal to AC , and let the straight lines AB , AC be ... Page 12

THEOR , If two angles of a

THEOR , If two angles of a

**triangle**be egual 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 ... Page 14

But if one of the vertices , as D , be within the other

But if one of the vertices , as D , be within the other

**triangle**ACB ; produce AC , AD to E , F. + Hyp . therefore ... Let**ABC**, DEF be two**triangles**, having the two sides AB , AC equal to the two sides DE , DF , each to each , viz .### 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