## The Elements of Euclid |

### From inside the book

Results 1-5 of 81

Page 19

1 . equal to AC , the less , and join DC ; thereА

1 . equal to AC , the less , and join DC ; thereА

**fore**, because in the triangles DBC , ACB , DB is equal to AC , and BC common to D both , the two sides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal ... Page 20

E

E

**fore**, because AC is equal to AD in the triangle ACD , the angles ECD , FDC F upon the other side of the base CD are C a 5. 1 . equal to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle FDC is ... Page 23

1 . line , the angle CBE is equal to the angle EBA ; in the same manner , because ABD is straight line , the angle DBE is equal to the angle EBA ; where .

1 . line , the angle CBE is equal to the angle EBA ; in the same manner , because ABD is straight line , the angle DBE is equal to the angle EBA ; where .

**fore**the angle DBE is equal to the angle CBE , the less to the greater ; which is ... Page 24

Again , because the angle DBA is equal to the two angles DBE , EBA , add to these ' equals the angle ABC ; there

Again , because the angle DBA is equal to the two angles DBE , EBA , add to these ' equals the angle ABC ; there

**fore**the angles DBA , ABC are equal to the three angles DBE , EBA , ABC ; but the angles CBE , EBD have been demonstrated ... Page 30

**fore**FK is equal to A : again , because G is the centre of the o 15. Def . circle LKH , GH is equal c to GK ; but GH is equal to C ; therefore also GK is equal to C ; and FG is equal to B ; there .**fore**the three straight lines KF ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### 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