## The Elements of Euclid |

### From inside the book

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Page 29

Again , because the exterior angle of a triangle is greater than the interior and opposite angle , the exterior anglè BDC of the triangle CDE is greater than CED ; for the same

Again , because the exterior angle of a triangle is greater than the interior and opposite angle , the exterior anglè BDC of the triangle CDE is greater than CED ; for the same

**reason**, the exterior angle CEB of the triangle ABE is ... Page 40

C to the base BC of the parallelograms ABCD , ERCF , be not terminated in the same point ; then , because ABCD is a parallelogram , AD is equal a to BC ; for the same

C to the base BC of the parallelograms ABCD , ERCF , be not terminated in the same point ; then , because ABCD is a parallelogram , AD is equal a to BC ; for the same

**reason**EF is equal to BC ; wherefore AD is equal b b1 Ax . to EF ... Page 41

ABCD , because it is upon the same başe BC , and between the same parallels BC , AD : for the like

ABCD , because it is upon the same başe BC , and between the same parallels BC , AD : for the like

**reason**, the parallelogram EFGH is equal to the same EBCH : therefore also the parallelogram ABCD is equal to EFGH . Page 45

1. ? because EKHA is a parallelogram , the diameter of which is AK , the triangle AEK is equal to the triangle AHK : by the same

1. ? because EKHA is a parallelogram , the diameter of which is AK , the triangle AEK is equal to the triangle AHK : by the same

**reason**, the triangle KGC is equal to the triangle KFC : then , because the triangle AEK is equal to the ... Page 49

... make with it at the point F A the adjacent angles equal to two right angles ; therefore CA is in the sanre straight lined with AG ; for the same d 14 : 1 .

... make with it at the point F A the adjacent angles equal to two right angles ; therefore CA is in the sanre straight lined with AG ; for the same d 14 : 1 .

**reason**, AB and AH are in the same straight line ; and because the angle DBC ...### What people are saying - Write a review

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### Other editions - View all

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid No preview available - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid No preview available - 2016 |

### Common terms and phrases

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prisms produced PROP proportionals proposition pyramid radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole