## 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 63

Side vii

In the third Book, the remarks concerning the angles made by a straight line, and

the

advanced no farther than the elements of the science. Some propositions also

have ...

In the third Book, the remarks concerning the angles made by a straight line, and

the

**circumference**of a circle, are left out, as tending to perplex one who hasadvanced no farther than the elements of the science. Some propositions also

have ...

Side

In the third Book , the remarks concerning the angles made by a straight line ,

and the

advanced no farther than the elements of the science . Some propositions also ...

In the third Book , the remarks concerning the angles made by a straight line ,

and the

**circumference**of a circle , are left out , as tending to perplex one who hasadvanced no farther than the elements of the science . Some propositions also ...

Side 5

The word area denotes the quantity of space contained in a figure , without any

reference to the nature of the line or lines which bound it . 11. A circle is a plane

figure contained by one line , which is called the

The word area denotes the quantity of space contained in a figure , without any

reference to the nature of the line or lines which bound it . 11. A circle is a plane

figure contained by one line , which is called the

**circumference**, and is such ... Side 55

The radius of a circle is the straight line drawn from the centre to the

, and being produced does not cut it . And that line which has but . one point in

common with ...

The radius of a circle is the straight line drawn from the centre to the

**circumference**. 2. A straight line is said to touch a circle , when it meets the circle, and being produced does not cut it . And that line which has but . one point in

common with ...

Side 56

An angle in a segment is the angle contained by two straight lines drawn from

any point in the

line which is the base of the segment . An inscribed triangle , is one which has its

...

An angle in a segment is the angle contained by two straight lines drawn from

any point in the

**circumference**of the segment , to the extremities of the straightline which is the base of the segment . An inscribed triangle , is one which has its

...

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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