## 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 are Restored. Also, the Book of Euclid's Data, in Like Manner Corrected |

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Resultat 1-5 av 72

Side 49

the undivided line , and the several parts of the divided 3 THE is more briefly

expressed by the H into any number of parts ; the

straight lines , is equal to the

straight ...

the undivided line , and the several parts of the divided 3 THE is more briefly

expressed by the H into any number of parts ; the

**rectangle**contained by the twostraight lines , is equal to the

**rectangles**contained by Let A and BC be twostraight ...

Side 50

DK , EL , CH parallel to F BG : then the

, DL , EH ; and BH is contained by A , BC , for it is contained by GB , BC , and GB

is equal to A ; and BK is contained by A , BD , for it is contained by GB , BD , of ...

DK , EL , CH parallel to F BG : then the

**rectangle**BH is equal to the**rectangles**BK, DL , EH ; and BH is contained by A , BC , for it is contained by GB , BC , and GB

is equal to A ; and BK is contained by A , BD , for it is contained by GB , BD , of ...

Side 51

BA , AC ; for it is contained by DA , AC , of which AD is equal to AB ; and CE is

contained by AB , BC , for BE is equal to AB ; therefore the

AB , AC , together with the

BA , AC ; for it is contained by DA , AC , of which AD is equal to AB ; and CE is

contained by AB , BC , for BE is equal to AB ; therefore the

**rectangle**contained byAB , AC , together with the

**rectangle**AB , BC , is equal to the square of AB , If ... Side 52

to the complement GE , and that AG is the

GC is equal to CB ; therefore GE is also equal to the

wherefore AG , GE are equal to twice the

squares ...

to the complement GE , and that AG is the

**rectangle**contained by AC , CB , forGC is equal to CB ; therefore GE is also equal to the

**rectangle**AC , CB ;wherefore AG , GE are equal to twice the

**rectangle**AC , CB ; and HF , CK are thesquares ...

Side 53

If a straight line be divided into two equal parts , and also into two unequal parts ;

the

between the points of section , is equal to the square of half the line . Let the ...

If a straight line be divided into two equal parts , and also into two unequal parts ;

the

**rectangle**contained by the unequal parts , together with the square of the linebetween the points of section , is equal to the square of half the line . Let the ...

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The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2016 |

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |

### Vanlige uttrykk og setninger

added altitude angle ABC angle BAC base BC is given centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition pyramid Q. E. D. PROP radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole