## 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 14

Side 14

... 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 . " T

... 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 . " T

**PROPOSITION**I. PROBLEM . O defcribe an equilateral 14 THE ELEMENTS. Side 15

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**PROPOSITION**I. PROBLEM . O defcribe an equilateral triangle upon a given fi- nite straight line . Let AB be the given straight line ; it is required to defcribe an equilateral triangle upon it . a From the centre A , at the di- ftance ... Side 254

... it is pof- fible there may be a fourth proportion- al . Let this be S. And in like man ner are to be understood fome things in some of the following

... it is pof- fible there may be a fourth proportion- al . Let this be S. And in like man ner are to be understood fome things in some of the following

**propositions**. a fquare EFGH is half of the fquare defcribed about 254 THE ELEMENTS. Side 256

... there can be a fourth propor- tional to this other space , named T , and the circles ABCD , EFGH . And the like is to be understood in fome of the following

... there can be a fourth propor- tional to this other space , named T , and the circles ABCD , EFGH . And the like is to be understood in fome of the following

**propositions**. the fquare of BD , fo is the circle EFGH 256 THE ELEMENTS. Side 301

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**proposition**, as being manifest even to affes , and need- ing no demonstration ; and his answer is , that though the truth of it be manifeft to our fenfes , yet it is fcience which must give the reason why two fides of a triangle are ...### 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