## 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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**draw**a straight line equal to a given straight line . K H Let A be the given point , and BC the given straight line ; it is required to**draw**from the point A a straight line equal to BC . From the point A to B**draw**( 1 . Post . ) the ... Page 14

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**drawn**equal to the given straight line BC . Which was to be done . PROP . III . PROB . FROM the greater of two given ...**draw**( 2. 1. ) the straight line AD equal to C and from the centre A , and at the distance AD , describe ( 3. Post ... Page 20

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**draw**a straight line at right angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a point given in it : it is required to**draw**a straight line from the point C at right angles to AB ... Page 21

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**draw**a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it ... Page 34

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**draw**a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line ; it is required to**draw**a straight line . through the point A , parallel to the straight line BC ...### 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