## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Corrected |

### From inside the book

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**meet**together , but are not in the same direction . " IX . A plane rectilineal angle is the inclination of two straight lines to one another , which**meet**together , but are not in the same straight line . • See Notes . A D ་ B C E N. B. ... Page 11

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**meet**one another , is put ' between the other two letters , and one of these two is some- ' where upon one of those straight lines , and the other upon ' the other line : Thus the angle which is contained by the ' straight lines AB , CB ... Page 11

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**meet**. POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be ... Page 12

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**meet**two straight lines , so as to make the two " interior angles on the same side of it taken together less " than two right angles , these straight lines being continual- " ly produced , shall at length**meet**upon that side on which ... Page 32

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**meet**to- wards B , D. In like manner it may be demonstrated that they do not**meet**towards A , C F B G D C ; but those straight lines which**meet**neither way , though produced ever so far , are parallel ( 35. def . ) to one another . AB ...### Other editions - View all

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

### Common terms and phrases

altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore