## The Elements of Euclid |

### From inside the book

Results 1-5 of 100

Page 12

A scalene triangle , is that which has three unequal

A scalene triangle , is that which has three unequal

**sides**. XXVII . A right - angled triangle , is that which has a right angle . XXVIII . An obtuse - angled triangle , is that which has an obtuse angle . a A XXIX . Page 16

IF two triangles have two

IF two triangles have two

**sides**of the one equal to two**sides**of the other , each to each ; and have likc . wise the angles contained by those**sides**equal to one another ; they shall likewise bave their bases , or third**sides**, equal ... Page 17

AB to DE , and AC to DF ; A D Book I. and the angle BAC equal to the angle ÉDF , the base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal

AB to DE , and AC to DF ; A D Book I. and the angle BAC equal to the angle ÉDF , the base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal

**sides**are opposite , shall ... Page 18

Because AF is equal to AG , and AB to AC , the two

Because AF is equal to AG , and AB to AC , the two

**sides**FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; as be 4. 1 . therefore the base FC is equal to the ... Page 19

Let ABC be a triangle having the angle ABC equal to the Book L angle ACB ; the

Let ABC be a triangle having the angle ABC equal to the Book L angle ACB ; the

**side**AB is also equal to the**side**Ac ... thereА fore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to D both , the two**sides**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