## 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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**drawn**two straight lines to a point within the triangle , these shall be less than the other two sides of the triangle , but shall contain a greater angle . * Let the two straight lines BD , CD be**drawn**from B , C , the ends of the side ... Page 35

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**drawn**through the given point A parallel to the given straight line BC . Which was to be done . PROP . XXXII . THEOR ...**draw**CE parallel ( 31. 1. ) to the straight line AB ; and be- cause AB is parallel to CE and AC meets them , the al ... Page 50

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**draw**( 11. 1. ) BF at right angles to BC , and make BG equal ( 3. 1. ) to A ; and through G**draw**( 31. 1. ) GH parallel to BC ; and through D , E , C**draw**( 31. 1. ) DK , EL , CH parallel to F BG : then the rectangle BH is equal to the ... Page 54

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**draw**( 31. 1. ) BHG parallel to CE or DF , and through H**draw**KLM parallel to AD or EF , and also through A**draw**AK parallel to CL or DM and because AC is equal to CB , the rectangle AL is equal ( 43. 1. ) to CH ; but CH is equal ( 36 ... Page 66

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**drawn**from any point in the circumference of the segment , to the extremities of the straight line which is the base of the segment . IX . And an angle is said to insist or stand upon . the circumference intercepted between the straight ...### 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