## 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 49

Side 20

DB and the straight line AB is

was to be done . A D B PROP . XI . PROB . To draw a straight line at right angles

to a given straight line , from a given point in the same . Let AB ' be a given

straight ...

DB and the straight line AB is

**divided**into two equal parts in the point D. Whichwas to be done . A D B PROP . XI . PROB . To draw a straight line at right angles

to a given straight line , from a given point in the same . Let AB ' be a given

straight ...

Side 35

All the interior angies of any D rectilineal figure , together with four right angles ,

are equal to twice as many right E angles as the figure has sides . For any

rectilineal figure ABCDE can F be

sides ...

All the interior angies of any D rectilineal figure , together with four right angles ,

are equal to twice as many right E angles as the figure has sides . For any

rectilineal figure ABCDE can F be

**divided**into as many triangles as the figure hassides ...

Side 49

the undivided line , and the several parts of the

expressed by the H into any number of parts ; the rectangle contained by the two

straight lines , is equal to the rectangles contained by Let A and BC be two

straight ...

the undivided line , and the several parts of the

**divided**3 THE is more brieflyexpressed by the H into any number of parts ; the rectangle contained by the two

straight lines , is equal to the rectangles contained by Let A and BC be two

straight ...

Side 50

II . THEOR . If a straight line be

contained by the whole and each of the parts , are together equal to the square of

the whole line . Let the straight line AB be

point C ...

II . THEOR . If a straight line be

**divided**into any two parts , the rectanglescontained by the whole and each of the parts , are together equal to the square of

the whole line . Let the straight line AB be

**divided**into A CB any two parts in thepoint C ...

Side 51

I. If a straight line be

whole and one of the parts , is equal to the rectangle contained by the two parts ,

together with the square of the foresaid part . G Let the straight line AB be

...

I. If a straight line be

**divided**into any two parts , the rectangle contained by thewhole and one of the parts , is equal to the rectangle contained by the two parts ,

together with the square of the foresaid part . G Let the straight line AB be

**divided**...

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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