## 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**from a certain point within the figure to the circumference , are equal to one another : XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is a straight line**drawn**through the cen- tre , and ... Page 13

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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 from the point C at right angles to AB . * F Take any point D in AC , and ( 3. 1. ) make CE equal to CD , and upon DE describe ( 1. 1. ) the equilateral triangle , DFE , and join FC ; the straight line FC**drawn**from ... Page 21

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**drawn**from the A H D G B given point C , is perpendicular to the given straight line AB . Because FH is equal to HG , and HC common to the two tri- angles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ...### 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