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

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Page vi

“ Equal 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 55

X. A sector of a circle is the figure contained by two straight lines drawn from the centre , and the circumference between them . XI .

X. A sector of a circle is the figure contained by two straight lines drawn from the centre , and the circumference between them . XI .

**Similar**segments of circles are those in which the angles are equal , or which contain equal angles ... Page 72

See N. Upon the same straight line , and upon the same side of it , there cannot be two

See N. Upon the same straight line , and upon the same side of it , there cannot be two

**similar**segments of circles , not coinciding with one another . * 10. 3 . A If it be possible , upon the same straight line AB , and upon the same ... Page 73

**Similar**segments of circles upon equal straight lines are See N. equal to one another . 1 F Let AEB , CFD be**similar**segments of circles upon the equal straight lines AB , CĎ : the segment AEB shall be equal to the segment CFD . Page 74

A is equalt to the angle at D , the segment BXC is 11 Def.3 .

A is equalt to the angle at D , the segment BXC is 11 Def.3 .

**similar**to the segment EDF ; and they are upon equal straight lines BC , EF : but**similar**segments of circles • 4. 1 . ) * 24. 3 . upon equal straight lines are equal 74 ...### 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