## 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 : to this Edition are Also Annexed, Elements of Plane and Spherical Trigonometry |

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Resultat 1-5 av 100

Side 9

And this point is called the

And this point is called the

**centre**of the circle . XVII . A diameter of a circle is a straight line drawn through the**centre**, and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter ... Side 11

And that a circle may be described from any

And that a circle may be described from any

**centre**, at any distance from that**centre**. AXIOMS . I. Things which are equal to the same are equal to one another , II . If equals be added to equals , the wholes are equal . III . Side 13

С From the

С From the

**centre**A , at the distance AB , describe ( 3. Postulate . ) the circle BCD , and from the**centre**B , at the distance BA , describe the A B E circle ACE ; and from the point C , in which the circles cut one another , draw the ... Side 14

Because the point B is the

Because the point B is the

**centre**of the circle CGH , BC is equal ( 15. Def . ) to BG ; and because D is the**centre**of the circle GKL , DL is equal to DG , and DA , DB , parts of them , are equal : therefore the remainder AL is equal to ... Side 21

It is required to draw a straight line perС pendicular to AB from the point C. Take any point D upon the other side of AB , and from the

It is required to draw a straight line perС pendicular to AB from the point C. Take any point D upon the other side of AB , and from the

**centre**C , at the distance CD , describe ( 3 . Post . ) the circle FDG meeting AB H ...### Hva folk mener - Skriv en omtale

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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1810 |

The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |

### Vanlige uttrykk og setninger

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### Populære avsnitt

Side 11 - Let it be granted that a straight line may be drawn from any one point to any other point.

Side 155 - IF a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle...

Side 329 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.

Side 20 - To draw a straight line at right angles to a given straight line, from a given point in the same.

Side 9 - 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.

Side 55 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.

Side 53 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.

Side 318 - Again ; the mathematical postulate, that " things which are equal to the same are equal to one another," is similar to the form of the syllogism in logic, which unites things agreeing in the middle term.

Side 21 - The angles which one straight line makes with another upon one tide of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it the angles CBA, ABD ; these are either two right angles, or are together equal to two right angles. For, if the angle CBA be equal to ABD, each of them is a right angle (Def.

Side 27 - To construct a triangle of which the sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third (20.