## 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 77

Side 21

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**fides BA**, CA do not coin- cide with the fides ED , FD , but have a different fituation , as EG , FG ; then , upon the fame bafe EF , and upon the fame fide of it , there can be two triangles that have their fides which are terminated ... Side 28

... fides of a triangle are together greater than Let ABC be a triangle ; any two fides of it together are greater than the third fide , viz . the

... fides of a triangle are together greater than Let ABC be a triangle ; any two fides of it together are greater than the third fide , viz . the

**fides BA**, AC greater than the fide BC ; and AB , BC greater than AC ; and BC , CA greater ... Side 29

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**fides BA**, AC are greater than BE , EC : Again , because the two fides CE , ED of the triangle CED are great- er than CD , add DB to each of thefe ; therefore the fides CE , EB are greater than CD , DB ; but it has been fhewn that BA ... Side 31

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**fides BA**, AC are equal to the two ED , DG , each to each , and the angle BAC is equal to the angle EDG ; therefore the bafe BC is equal to the base EG ; and because DG is equal to DF , the angle DFG is equal d to the angle DGF ; but ... Side 48

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**BA**is equal to AD ; C therefore the four ftraight lines**BA**, AD , DE , EB are equal to one ano- ther , and the ...**fides**which con- tain the right angle . Let ABC be a right angled triangle having the right angle BAC ; the fquare defcribed ...### 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