## 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 100

Side 15

... straight line . Let AB be the

... 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 AB , defcribe the circle BCD , and from the centre B , at the diftance BA ... Side 16

...

...

**given**point A a ftraight line AL has been drawn equal to the**given**ftraight line BC . Which was to be done . a . 2 ...**straight lines**, whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C the lefs . Side 22

... line AB is divided into two equal parts in the point D. Which was to be done . A PROP . XI . PROB . D B O draw a ftraight line at right angles to a

... line AB is divided into two equal parts in the point D. Which was to be done . A PROP . XI . PROB . D B O draw a ftraight line at right angles to a

**given straight line**, from a given point in the fame . T & a Let AB be a given ftraight line ... Side 23

... lines can- A not have a common fegment . T PROP . XII . E D B PROB . O draw a ftraight line perpendicular to a

... lines can- A not have a common fegment . T PROP . XII . E D B PROB . O draw a ftraight line perpendicular to a

**given straight line**of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be ... Side 29

...

...

**given straight lines**, but any two whatever of these must be greater than ... line DE terminated at the point D , but un- limited towards E , and make DF ... straight lines , A , B , C. a 20. I. a 3. I. b 3. Poft . F G HE L A B C ...### 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