## 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 39

Side 69

If in a

If in a

**circle**two straight lines cut one another which do not both pass through the centre , they do not bisect each other . Let**ABCD**be a**circle**, and AC , BD two straight lines in it which cut one another in the point E , and do not ... Side 71

B Let

B Let

**ABCD**be a**circle**, and A D its diameter , in which let any point F be taken which is not the centre ; let the centre be E ; of all the straight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA is the ... Side 78

therefore

therefore

**ABCD**are equally distant from the centre . ... Let**ABCD**be a**circle**, of which the diA B ameter is AD , and the centre E ; and let F BC be nearer to the centre than FG ; AD is greater than any straight line BC which is not a ... Side 83

A E F Let ABCD be a circle , and BAD , BED angles in the same segment BAED : the angles BAD , BED are equal to one another . Take F the centre of the

A E F Let ABCD be a circle , and BAD , BED angles in the same segment BAED : the angles BAD , BED are equal to one another . Take F the centre of the

**circle ABCD**; and , first , let the segment BAED be greater than a semicircle ... Side 84

Let ABCD be a quadrilateral figure in the

Let ABCD be a quadrilateral figure in the

**circle ABCD**; any two of its opposite angles are together equal to two right ... to two right angles , the three angles of the triangle CAB , viz . the angles CAB , ABC , BCA are equal to two ...### 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.