# 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

Robert Desilver, 1821 - 516

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 Sekcja 1 1 Sekcja 2 3 Sekcja 3 7 Sekcja 4 9 Sekcja 5 49 Sekcja 6 88 Sekcja 7 100 Sekcja 8 117
 Sekcja 16 250 Sekcja 17 261 Sekcja 18 271 Sekcja 19 272 Sekcja 20 274 Sekcja 21 276 Sekcja 22 283 Sekcja 23 285

 Sekcja 9 153 Sekcja 10 190 Sekcja 11 191 Sekcja 12 194 Sekcja 13 224 Sekcja 14 230 Sekcja 15 240
 Sekcja 24 286 Sekcja 25 290 Sekcja 26 293 Sekcja 27 295 Sekcja 28 365 Sekcja 29 461 Sekcja 30 491

### Popularne fragmenty

Strona 11 - Let it be granted that a straight line may be drawn from any one point to any other point.
Strona 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...
Strona 329 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Strona 20 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Strona 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.
Strona 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.
Strona 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.
Strona 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.
Strona 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.
Strona 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.