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

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Page 10

If two triangles have two sides of the one

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 buses , or third sides ,**equal**; and ... Page 11

DEF , and is

DEF , and is

**equal**to it ; and the other**angles**of the one coincide with the remaining**angles**of the other , and are**equal**to them , viz . the**angle**ABC to the**angle**DEF , and the**angle**ACB to DFE . Therefore , if two triangles have two ... Page 12

1 .

1 .

**angle**ABG , and the**angle**AFC to the**angle**AGB : and because the whole AF is**equal**to the whole AG , of which the ... CGB ; wherefore these triangles are**equal*** , and their remaining**angles**each to each , to which the**equal**sides ... Page 13

mon to both , the two sides , DB , BC are

mon to both , the two sides , DB , BC are

**equal**to the two AC , CB , each to each ; and the**angle**DBC is**equal**to the**angle**+ ACB ; therefore the fIlyp . base DC is**equal**to the base AB , and the triangle DBC is**equal**to the triangle ... Page 15

To bisect a given rectilineal angle , that is , to divide it into two

To bisect a given rectilineal angle , that is , to divide it into two

**equal angles**. Let BAC be the given rectilineal angle , it is requireu ... 1 . off AE equal to AD ; join DE , and upon it describe * an equilateral triangle * 1.1 .### 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