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

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Page viii

ROBERTson's concise account of Logarithms ( being highly useful additions ) , are preserved in this impression , and the

ROBERTson's concise account of Logarithms ( being highly useful additions ) , are preserved in this impression , and the

**whole**has been carefully revised throughout . Short Notices of the Lives of EUCLID , and of his ablest translator ... Page 6

The

The

**whole**is greater than its part . X. Two straight lines cannot enclose a space . XI . All right angles are equal to one another . XII . “ If a straight line meet two , straight lines , so as to 66 make the two interior angles on the ... Page 9

Wherefore the

Wherefore the

**whole**triangle ABC + 8 Ax . coincides with the**whole**triangle DEF , and is equal to it ; and the other angles of the one coincide with the remaining angles of the other , and are equal to them , viz . the angle ABC to the ... Page 10

And , since it has been demonstrated , that the

And , since it has been demonstrated , that the

**whole**angle ABG is equal to the**whole**ACF , the parts of which , the angles CBG , BCF are also equal ; therefore the remaining angle ABC is equal + to the remaining angle ACB , which are ... Page 28

... therefore the

... therefore the

**whole**exterior angle ACD is equal + to the two interior and opposite angles CAB , ABC : to each of these equals add the angle ACB , and the angles ACD , ACB are equalt to the three angles CBA , BAC , ACB ; but 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