## 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 |

### Inni boken

Resultat 1-5 av 50

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

Also, the Book of Euclid's Data, in Like Manner Co Euclid, Robert Simson. B G

the straight lines A , BC is equal to D E C the

together with that contained by A , DE , and that contained by A , EC . From the

point B ...

Also, the Book of Euclid's Data, in Like Manner Co Euclid, Robert Simson. B G

the straight lines A , BC is equal to D E C the

**rectangle contained**by A , BD ,together with that contained by A , DE , and that contained by A , EC . From the

point B ...

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 ... I. If a straight line be divided into

any two parts , the

equal to ...

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 ... I. If a straight line be divided into

any two parts , the

**rectangle contained**by the whole and one of the parts , isequal to ...

Side 52

also to GK , and CG to BK ; wherefore the figure CGKB is equilateral ; it is

likewise rectangular ; for CG is parallel to BK ... to the complement GE , and that

AG is the

also ...

also to GK , and CG to BK ; wherefore the figure CGKB is equilateral ; it is

likewise rectangular ; for CG is parallel to BK ... to the complement GE , and that

AG is the

**rectangle contained**by AC , CB , for GC is equal to CB ; therefore GE isalso ...

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