## The Elements of Euclid |

### From inside the book

Results 1-5 of 56

Page 45

Let ABCD be a parallelogram , of which the diameter is AC , and EH , FG the parallelo- A D grams about AC , that is , thro ' which AC

Let ABCD be a parallelogram , of which the diameter is AC , and EH , FG the parallelo- A D grams about AC , that is , thro ' which AC

**passes**, and BK , K KD the other parallelograms E which make up the whole figure ABCD , which are ... Page 70

IF a straight line drawn through the centre of a circle bisect a straight line in it which does not

IF a straight line drawn through the centre of a circle bisect a straight line in it which does not

**pass**through the centre , it shall cut it at right angles ; and , if it cuts it at right angles , it shall bisect it . Page 71

IF in a circle two straight lines cut one another which do not both

IF in a circle two straight lines cut one another which do not both

**pass**through the centre , they do not bisect each other . F Let ABCD be a circle , and AC , BD two straight lines in.it which cut one another in the point E , and do ... Page 73

... that which is nearer to the line which

... that which is nearer to the line which

**passes**through the centre is always greater than one more remote ; and from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the ... Page 74

IF any point be taken without a circle , and straight . lines be drawn from it to the circumference , where . of one

IF any point be taken without a circle , and straight . lines be drawn from it to the circumference , where . of one

**passes**through the centre , of those which fall upon the concave circumference ...### 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