## 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 70

Side 9

A circle is a plane figure contained by one line , which is called the

, and is such that all straight lines drawn from a certain point within the figure to

the

A circle is a plane figure contained by one line , which is called the

**circumference**, and is such that all straight lines drawn from a certain point within the figure to

the

**circumference**, are equal to one another : XVI . And this point is called the ... Side 66

A segment of a circle is the figure contained by a straight line and the

by the straight line and the

angle con- ...

A segment of a circle is the figure contained by a straight line and the

**circumference**it cuts off . VII . “ The angle of a segment is that which is containedby the straight line and the

**circumference**. ” VIII . An angle in a segment is theangle con- ...

Side 67

If any two points be taken in the

joins them shall fall within the circle . O Let ABC be a circle , and A , B any two

points in the

...

If any two points be taken in the

**circumference**of a circle , the straight line whichjoins them shall fall within the circle . O Let ABC be a circle , and A , B any two

points in the

**circumference**; the straight line drawn from A C to B shall fall within...

Side 68

In the same manner it may be demonstrated that it does not fall upon the

Q. E. D. PROP . III . THEOR . If a straight line drawn through the centre of a circle

bisect a ...

In the same manner it may be demonstrated that it does not fall upon the

**circumference**; it falls therefore within it . Wherefore , if any two points , & c .Q. E. D. PROP . III . THEOR . If a straight line drawn through the centre of a circle

bisect a ...

Side 71

If any point be taken in the diameter of a circle , which is not the centre , of all the

straight lines which can be drawn from it to the

in which the centre is , and the other part of that diameter is the least ; and , of ...

If any point be taken in the diameter of a circle , which is not the centre , of all the

straight lines which can be drawn from it to the

**circumference**, the greatest is thatin which the centre is , and the other part of that diameter is the least ; and , of ...

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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