## 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 |

### Inni boken

Resultat 1-5 av 66

Side 68

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**circle**is the figure con- tained by a straight line and the cir- cumference ...**ABC**be the given**circle**; it is required to find its centre . Draw within it ...**ABC**. Fors For , if it be not , let , if THE ELEMENTS. 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 71

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**circle**two straight lines cut one another which do not both pass through the centre , they do not bise & t each the other . Let**ABCD**be a**circle**, and AC , BD two ftraight lines in it which cut one another in the point E , and do not ... Side 72

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**circles ABC**, CDE , touch one another internal- ly in the point C : They have not the fame centre . For , if they can , let it be F ; join FC and draw any straight line FEB meeting them in E and B ; And because F is the centre of the circle ... Side 73

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**ABCD**be a**circle**, and AD its diameter , in which let any point F be taken which is not the centre : Let the centre be E ; of all the straight lines FB , FC , FG , & c . that can be drawn from F to the**circumference**, FA is the greatest ...### 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