## 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 82

Side 4

... in the Notes subjoined to these Elements . In like manner , in the

Demonstration of the 26th Prop . of the 11th Book , it is

those solid angles are equal to one another which are contained by plane angles

iv PREFACE .

... in the Notes subjoined to these Elements . In like manner , in the

Demonstration of the 26th Prop . of the 11th Book , it is

**taken**for granted , thatthose solid angles are equal to one another which are contained by plane angles

iv PREFACE .

Side 7

A plane superficies is that in which any two points being

between them lies wholly in that superficies . VIII . “ A plane angle is the

inclination of two lines to one another * in a plane , which meet together , but are

not in the ...

A plane superficies is that in which any two points being

**taken**, the straight linebetween them lies wholly in that superficies . VIII . “ A plane angle is the

inclination of two lines to one another * in a plane , which meet together , but are

not in the ...

Side 11

If equals be added to equals , the wholes are equal . III . If equals be

equals , the remainders are equal . IV . If equals be added to unequals , the

wholes are unequal . If equals be

unequal .

If equals be added to equals , the wholes are equal . III . If equals be

**taken**fromequals , the remainders are equal . IV . If equals be added to unequals , the

wholes are unequal . If equals be

**taken**from unequals , the remainders areunequal .

Side 12

If a straight line meet two straight lines , so as to make the two “ interior angles on

the same side of it

being continual“ ly produced , shall at length meet upon that side on which ...

If a straight line meet two straight lines , so as to make the two “ interior angles on

the same side of it

**taken**together less “ than two right angles , these straight linesbeing continual“ ly produced , shall at length meet upon that side on which ...

Side 55

... therefore GK is Te 70 and lian equal to KN ; for the same reason , BOOK II . 55

THE ELEMENTS OF EUCLID . A plane superficies is that in which any two points

being

... therefore GK is Te 70 and lian equal to KN ; for the same reason , BOOK II . 55

THE ELEMENTS OF EUCLID . A plane superficies is that in which any two points

being

**taken**, the straight line between them lies wholly in that superficies VIII.### Hva folk mener - Skriv en omtale

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### Andre utgaver - Vis alle

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