## 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 34

Side

It is a remarkable fact in the history of science , that the oldest book of Elementary

Geometry is still considered as the best , and that the writings of Euclid , at the

...

It is a remarkable fact in the history of science , that the oldest book of Elementary

Geometry is still considered as the best , and that the writings of Euclid , at the

**distance**of two thousand years , continue to form the most approved introduction...

Side 3

... signifies that the quantity denoted by A is to be multiplied by the quantity

denoted by B. The expression AB should not be employed when there is any

danger of confounding it with that of the line AB , the

A and B.

... signifies that the quantity denoted by A is to be multiplied by the quantity

denoted by B. The expression AB should not be employed when there is any

danger of confounding it with that of the line AB , the

**distance**between the pointsA and B.

Side 7

That a terninated straight line may be produced to any length in a straight line . 3.

And that a circle may be described from any centre , at any

AXIOMS . 1. THINGS which are equal to the same OF GEOMETRY .. BOOK 2 7 ...

That a terninated straight line may be produced to any length in a straight line . 3.

And that a circle may be described from any centre , at any

**distance**from that cerAXIOMS . 1. THINGS which are equal to the same OF GEOMETRY .. BOOK 2 7 ...

Side 16

This may be demonstrated without producing any of the sides : thus , the line BC ,

for example , is the shortest

AC , or BA + AC > BC . PROP . XIV . THEOR . amplona If from the ends of one ...

This may be demonstrated without producing any of the sides : thus , the line BC ,

for example , is the shortest

**distance**from B to C ; therefore BC is less than BA +AC , or BA + AC > BC . PROP . XIV . THEOR . amplona If from the ends of one ...

Side 18

A perpendicular is the shortest line that can be drawn from a point , situated

without a straight line , to that line : any two oblique lines drawn from the same

point on different sides of the perpendicular , cutting off equal

other ...

A perpendicular is the shortest line that can be drawn from a point , situated

without a straight line , to that line : any two oblique lines drawn from the same

point on different sides of the perpendicular , cutting off equal

**distances**on theother ...

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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