## Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |

### Inni boken

Resultat 1-5 av 33

Side 176

A

which are not in the same plane in one point . PROP . I. THEOR . : One part of a

straight line cannot be in a plane and another part about it . If it be possible let AB

...

A

**solid**angle is an angle made by the meeting of more than two plane angles ,which are not in the same plane in one point . PROP . I. THEOR . : One part of a

straight line cannot be in a plane and another part about it . If it be possible let AB

...

Side 186

Containing the First Six Books of Euclid, with a Supplement on the Quadrature of

the Circle, and the Geometry of

and Spherical Trigonometry John Playfair. B D H C D A K Then , since HK and

GE ...

Containing the First Six Books of Euclid, with a Supplement on the Quadrature of

the Circle, and the Geometry of

**Solids**; to which are Added, Elements of Planeand Spherical Trigonometry John Playfair. B D H C D A K Then , since HK and

GE ...

Side 187

THEOR . B The plane angles which contain any

than four right angles . Let A be a

angles BAC , CAD , DAE , EAF , FAB ; these together are less than four right

angles .

THEOR . B The plane angles which contain any

**solid**angle are together lessthan four right angles . Let A be a

**solid**ang e contained by any number of planeangles BAC , CAD , DAE , EAF , FAB ; these together are less than four right

angles .

Side 188

S73 ; and therefore X / 4R ; that is , the sum of the plane angles which contain the

when any of the angles of the figure BCDEF is exterior , like the angle at D , in the

...

S73 ; and therefore X / 4R ; that is , the sum of the plane angles which contain the

**solid**angle at A is less than four right angles . SCHOLIUM . It is evident , thatwhen any of the angles of the figure BCDEF is exterior , like the angle at D , in the

...

Side 189

OF THE COMPARISON OF

length , breadth , and thickness . 2. Similar

contained by the same number of similar planes similarly situated , and having

like ...

OF THE COMPARISON OF

**SOLIDS**. DEFINITIONS . 1. A**SOLID**is that which haslength , breadth , and thickness . 2. Similar

**solid**figures are such as arecontained by the same number of similar planes similarly situated , and having

like ...

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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |

### Vanlige uttrykk og setninger

ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole