## The Elements of Euclid |

### From inside the book

Results 1-5 of 94

Page viii

1 ing , is promoted as far as the limited powers of the mind allow ; and which

1 ing , is promoted as far as the limited powers of the mind allow ; and which

**likewise**is of the greatest use in the arts both of peace and war , to many of which geometry is absolute . lyʻnecessary . This I have endeavoured to do ... Page 16

Post , tance AD , describe b the circle DEF ; and hecause A is the cenF tre of the circle DEF , AE shall be equal to AD ; but the straight line C is

Post , tance AD , describe b the circle DEF ; and hecause A is the cenF tre of the circle DEF , AE shall be equal to AD ; but the straight line C is

**likewise**equal to AD ; whence AE and C are each of them equal to AD ; wherefore the ... Page 17

Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and have

Therefore , 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 , their bases shall**likewise**be equal , and the triangles ... Page 19

... extremity of the base Soc Note . equal to one another , and

... extremity of the base Soc Note . equal to one another , and

**likewise**those which are terminated in the other extremity . If it be possible , let there be two triangles ACB , ADB , up . on the same base AB , and upon the same side of ... Page 20

1 . equal to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle FDC is

1 . equal to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle FDC is

**likewise**greater than BCD ; much more than is the angle BDC greater then the angle BCD . Again , because CB is equal to DB ...### 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