## 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 100

Side 4

Equal and similar solid figures are those which are

the same number and magnitude . ” Now this Proposition is a Theorem , not a

Definition ; because the equality of figures of any kind must be demonstrated ,

and ...

Equal and similar solid figures are those which are

**contained**by similar planes ofthe same number and magnitude . ” Now this Proposition is a Theorem , not a

Definition ; because the equality of figures of any kind must be demonstrated ,

and ...

Side 5

equal to one another which are

and magnitude , placed in the same order ; but neither is this universally true ,

except in the case in which the solid angles are

...

equal to one another which are

**contained**by plane angles of the same numberand magnitude , placed in the same order ; but neither is this universally true ,

except in the case in which the solid angles are

**contained**by no more than three...

Side 8

... at the point in which the ' straight lines that

, is put between the other two letters ... and the other upon the other line : Thus

the angle which is

ABC ...

... at the point in which the ' straight lines that

**contain**the angle meet one another, is put between the other two letters ... and the other upon the other line : Thus

the angle which is

**contained**by the straight lines AB , CB is named the angleABC ...

Side 9

A circle is a plane figure

, and is such that all straight lines drawn from a certain point within the figure to

the circumference , are equal to one another : XVI . And this point is called the ...

A circle is a plane figure

**contained**by one line , which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to

the circumference , are equal to one another : XVI . And this point is called the ...

Side 14

If two triangles have two sides of the one equal to two sides of the other , each to

each ; and have likewise the angles

another , they shall likewise have their bases , or third sides , equal ; and the two

...

If two triangles have two sides of the one equal to two sides of the other , each to

each ; and have likewise the angles

**contained**by those sides equal to oneanother , they shall likewise have their bases , or third sides , equal ; and the two

...

### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### 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