## 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

“ 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 2

... at ' the point in which the straight lines that

... at ' the point in which the straight lines that

**contain**the angle meet one another , is put between the other two ... and the other upon the other « line : Thus the angle which is**contained**by the straight • lines , AB , CB , is ... Page 3

A circle is a plane figure

A circle is a plane figure

**contained**by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . XVI . Page 8

If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles

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 ; they shall likewise have their bases , or third sides , equal ; and ... Page 9

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

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 ...### 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