## 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 Restored : Also the Book of Euclid's Data, in Like Manner CorrectedJ. Nourse, London, 1781 - 520 sider |

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Side 11

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**circumference**, and is fuch that all straight lines . drawn from a certain point within the figure to the circum ...**circumference**. XVIII . A femicircle is the figure contained by a diameter and the part of the**circumference**cut off by ... Side 68

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**circumference**. " VIII . An angle in a fegment is the angle con- tained by two ftraight lines drawn from any point in the**circumference**, of the fegment , to the extremities of the ftraight line which is the base of the fegment . • IX ... Side 69

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**circumference**of a circle , the ftraight line which joins them fhall fall within the circle . Let ABC be a circle , and A , B any two points in the cir cumference ; the ftraight line drawn from A to B fhall fall within the circle . For ... Side 70

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**circumference**; it falls therefore with in it . Wherefore , if any two points , & c . Q. E. D. a 1. 3 . b 8. I. IF PROP . III . THEOR . Fa ftraight line drawn through the centre of a circle bifect a straight line in it which does not ... Side 73

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**circumference**, the greateft is that in which the centre is , and the other part of that dia- meter is the leaft ; and , of any others , that which is nearer to the line which paffes through the centre is al- ways greater than one more ...### Andre utgaver - Vis alle

The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |

### Vanlige uttrykk og setninger

alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA fimilar fince firft firſt folid angle fome fore fphere fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore