## 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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Resultat 1-5 av 98

Side 10

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**less**than a right angle . XIII . " A term or boundary is the extremity of any thing . " XIV . A figure is that which is inclofed by one or more boundaries . XV . XV . A circle is a plane figure contained by 10 THE ELEMENTS. Side 14

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**less**than two right angles , these straight lines being con- " tinually produced , fhall at length meet upon that fide on " which are the angles which are lefs than two right angles . " See the notes on Prop . 29. of Book I. " PROPO ... Side 16

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**less**. FR Let AB and C be the two gi ven straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C the lefs . b EB From the point A draw the ftraight line AD equal to C ; and from ... Side 26

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**less**than two right angles . A A Let ABC be any triangle ; any two of its angles together are lefs than two right angles . Produce BC to D ; and be- cause ACD is the exterior anglé of the triangle ABC , ACD is greater than the interior ... Side 27

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**less**than two right angles . In like manner , it may be demonstrated , that BAC , ACB , as also CAB , ABC are**less**than two right angles . Therefore any two angles , & c . Q. E. D. THE PRO P. XVIII . THEOR . HE greater fide of every ...### 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