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

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Page 11

DEF , and is equal to it ; and the other angles of the one coincide with the

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 . angle ABG , and the angle AFC to the angle AGB : and because the whole AF is equal to the whole AG , of which the parts ... and their

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 parts ... and their

**remaining angles**each to each , to which the equal sides are opposite : therefore the angle FBC is ... Page 20

Take away the common angle ABC , and the * 3 Ax .

Take away the common angle ABC , and the * 3 Ax .

**remaining angle**ABE is equal * to the**remaining angle**ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . Page 21

If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . ... 1 . and the triangle AER iy the triangle , CEF , aná the

If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . ... 1 . and the triangle AER iy the triangle , CEF , aná the

**remaining**,**angles**to the renairing angles , each to each ... Page 31

A G म * angle EGB equal to the interior and opposite angle GHD upon the same side ; or make the interior E angles ... BGH are equalf to the angles BGH , GHD : f1 Ax Take away the common angle BGH ; therefore the

A G म * angle EGB equal to the interior and opposite angle GHD upon the same side ; or make the interior E angles ... BGH are equalf to the angles BGH , GHD : f1 Ax Take away the common angle BGH ; therefore the

**remaining angle**AGH is ...### 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