## 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 36

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

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 OFEUCLID . 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 solid figures are such as have

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 have

all ...

Side 196

lina An icosahedron is a

parallelopiped is a

equal to the other side containing the right

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 ... Side 211

D. If a

greater than the third . * Let the

angles , BAC , CAD , ÞAB . Any two of them are greater than the third . If the

angles ...

D. If a

**solid angle**be contained by three plane angles , any two of them aregreater than the third . * Let the

**solid angle**at A be contained by the three planeangles , BAC , CAD , ÞAB . Any two of them are greater than the third . If the

angles ...

Side 212

Next , let the

CAD , DAE , EAF , FAB ; these together are less than four right angles . Let the

planes in which the angles are , be cut by a plane , and let the common section of

it ...

Next , let the

**solid angle**at A be contained by any number of plane angles BAC ,CAD , DAE , EAF , FAB ; these together are less than four right angles . Let the

planes in which the angles are , be cut by a plane , and let the common section of

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