## 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 6-10 av 100

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 rectangle contained by

AB , AC , together with the rectangle AB , BC , is equal to 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 by

AB , AC , together with the rectangle AB , BC , is equal to the

**square**of AB , If ... Side 52

the

or BE , and through G draw HK parallel to AB or DE : and because CF is parallel

to AD , and BD falls upon them , the exterior angle BGC is equal ( 29. 1. ) to the ...

the

**square**ADEB , and join BD , and through C draw ( 31. 1. ) CGF parallel to ADor BE , and through G draw HK parallel to AB or DE : and because CF is parallel

to AD , and BD falls upon them , the exterior angle BGC is equal ( 29. 1. ) to the ...

Side 53

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

between the points of section , is equal to 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 ... Side 54

If a straight line be bisected , and produced to any point ; the rectangle contained

by the whole line thus produced , and the part of it produced , together with the

...

If a straight line be bisected , and produced to any point ; the rectangle contained

by the whole line thus produced , and the part of it produced , together with the

**square**of half the line bisected , is equal to the**square**of the straight line which is...

Side 55

Because CB is equal to BD , and that CB the point C ; the squares of AB , BC are

equal to twice the rectangle AB , BC , together with the

describe ( 46. 1. ) the

...

Because CB is equal to BD , and that CB the point C ; the squares of AB , BC are

equal to twice the rectangle AB , BC , together with the

**square**of AC . Upon ABdescribe ( 46. 1. ) the

**square**ADEB , and construct the figure as in the preceding...

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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1810 |

The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |

### Vanlige uttrykk og setninger

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