## 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 100

Side 7

A plane angle is the inclination of two lines to one another * in a plane , which

the inclination of two straight lines to one another , which

A plane angle is the inclination of two lines to one another * in a plane , which

**meet**together , but are not in the same direction . " IX . A plane rectilineal angle isthe inclination of two straight lines to one another , which

**meet**together , but are ... Side 8

A D V / B C E 6 N. B. “ When several angles are at one point B , any one of them

is expressed by three letters , of which the letter that is at the vertex of the angle ,

that is , at the point in which the ' straight lines that contain the angle

A D V / B C E 6 N. B. “ When several angles are at one point B , any one of them

is expressed by three letters , of which the letter that is at the vertex of the angle ,

that is , at the point in which the ' straight lines that contain the angle

**meet**one ... Side 11

XXXV . Parallel straight lines , are such as are in the same plane , and which

being produced ever so far both ways , do not

granted that a straight line may be drawn from any one point to any other point . II

.

XXXV . Parallel straight lines , are such as are in the same plane , and which

being produced ever so far both ways , do not

**meet**. POSTULATES . I. Let it begranted that a straight line may be drawn from any one point to any other point . II

.

Side 12

If a straight line

the same side of it taken together less “ than two right angles , these straight lines

being continual“ ly produced , shall at length

If a straight line

**meet**two straight lines , so as to make the two “ interior angles onthe same side of it taken together less “ than two right angles , these straight lines

being continual“ ly produced , shall at length

**meet**upon that side on which ... Side 32

For , if it be not parallel , AB and CD being produced shall

D , or towards A , C ; let them be produced and

; therefore GEF is a triangle , and its exterior angle AEF is greater ( 16. 1. ) ...

For , if it be not parallel , AB and CD being produced shall

**meet**either towards B ,D , or towards A , C ; let them be produced and

**meet**towards B , D , in the point G; therefore GEF is a triangle , and its exterior angle AEF is greater ( 16. 1. ) ...

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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