## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |

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Page vi

“ Equal and similar solid figures are those which are contained by similar planes of the same number and

“ Equal and similar solid figures are those which are contained by similar planes of the same number and

**magnitude**. ” Now this proposition is a Theorem , not a Definition ; because the equality of figures of any kind must be ... Page 1

I. A Point is that which hath no parts , or which hath no See Notes .

I. A Point is that which hath no parts , or which hath no See Notes .

**magnitude**. II . A line is length without breadth . III . The extremities of a line are points . IV . A straight line is that which lies evenly between its extreme ... Page 99

... and straight lines equal to them be placed round * in the whole circle , an equilateral and * 1. 4 . 1 equiangular quindecagon will be inscribed in it . Which. 11.4 . B El * 30. 3 . itself , when the first

... and straight lines equal to them be placed round * in the whole circle , an equilateral and * 1. 4 . 1 equiangular quindecagon will be inscribed in it . Which. 11.4 . B El * 30. 3 . itself , when the first

**magnitude**is to the second ... Page 101

I. A less

I. A less

**magnitude**is said to be a part of a greater**magnitude**when the less measures the greater ; that is , when the less is contained a certain number of times exactly in the greater . ' II . A greater**magnitude**is said to be a ... Page 102

N.B. When four

N.B. When four

**magnitudes**are proportionals , it is usually expressed by saying , the • first is to the second , as the ... then the first is said to have to the second a greater ratio than the third**magnitude**has to the fourth : and ...### What people are saying - Write a review

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The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |

### Common terms and phrases

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