## 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 79

Side 4

Equal and similar

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 contained by plane angles of the same number

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

except in the case in which the

...

equal to one another which are contained by plane angles of the same number

and 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 194

THE i / ' which a perpendicular to the plane drawn from any point of The

inclination of a plane to a plane is the acute angle containELEMENTS OF

EUCLID . BOOK XI . DEFINITIONS . I. A

and thickness .

THE i / ' which a perpendicular to the plane drawn from any point of The

inclination of a plane to a plane is the acute angle containELEMENTS OF

EUCLID . BOOK XI . DEFINITIONS . I. A

**solid**is that which hath length , breadth ,and thickness .

Side 195

A

, which are not in the same plane , in one point . * X. " The tenth definition is

omitted for reasons given in the notes . ' XI . Similar

all ...

A

**solid**angle is that which is made by the meeting of more than two plane angles, which are not in the same plane , in one point . * X. " The tenth definition is

omitted for reasons given in the notes . ' XI . Similar

**solid**figures are such as haveall ...

Side 196

lina An icosahedron is a

parallelopiped is a

equal to the other side containing the right angle , the cone is called a right

angled cone ; if it ...

lina An icosahedron is a

**solid**figure contained by twenty equal and Aparallelopiped is a

**solid**figure contained by six quadrilateral If the fixed side beequal to the other side containing the right angle , the cone is called a right

angled cone ; if it ...

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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