## 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 80

Side 6

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**cafe**in which the folid Angles are contained by no more than three plain Angles ; nor of this**Cafe**is there any Demonftration in the Elements we now have , though it be quite neceffary there fhould be one . Now , upon the 10th ... Side 19

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**cafe**in which the vertex of each of the tri- angles is without the other triangle , because AC is equal to AD , the angle ACD is equal to the angle ADC : But the angle ACD is greater than the angle BCD ; therefore the angle A ADC is ... Side 20

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**cafe**in which the ver- tex of one triangle is upon a fide of the other , needs no de- monftration . Therefore upon the fame bafe , and on the fame fide of it , there cannot be two triangles that have their fides which are terminated in ... Side 33

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**cafe**, the other fides fhall be equal , AC to DF , and BC to EF ; and also the །། third angle BAC to the third EDF . HC For , if BC be not equal to EF , let BC be the greater of them , and make BH equal to EF , and join AH ; and because ... Side 85

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**cafe**, that the angle GEC is double of the angle GDC , and that GEB a part of the firft is double of GDB a part of the other ; therefore the re- G maining angle BEC is double of the remaining angle BDC . Therefore the angle at the ...### 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