## 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 81

Side 9

... contained by a straight line , and the circumference it cuts off . ” XX . Rectilineal

figures are those which are contained by straight lines . XXI . Trilateral figures , or

triangles , by three straight lines . XXII . Quadrilateral , by

... contained by a straight line , and the circumference it cuts off . ” XX . Rectilineal

figures are those which are contained by straight lines . XXI . Trilateral figures , or

triangles , by three straight lines . XXII . Quadrilateral , by

**four**straight lines . Side 10

XXX . of

its angles right angles . XXXI . An oblong , is that which has all its angles right

angles , but has not all its sides equal . XXXII . A rhombus , is that which has all its

...

XXX . of

**four**- sided figures , a square is that which has all its sides equal , and allits angles right angles . XXXI . An oblong , is that which has all its angles right

angles , but has not all its sides equal . XXXII . A rhombus , is that which has all its

...

Side 11

All other

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 be granted that a ...

All other

**four**sided figures besides these , are called trapeziums . XXXV . Parallelstraight 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 be granted that a ...

Side 23

Q. E. D. Cor . 1. From this it is manifest , that if two straight lines cut one another ,

the angles they make at the point where they cut , are together equal to

angles . Cor . 2. And consequently that all the angles made by any number of ...

Q. E. D. Cor . 1. From this it is manifest , that if two straight lines cut one another ,

the angles they make at the point where they cut , are together equal to

**four**rightangles . Cor . 2. And consequently that all the angles made by any number of ...

Side 35

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

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 has

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 has

sides ...

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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