The Harpur Euclid: An Edition of Euclid's Elements

Rivingtons, 1890 - 515 páginas

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Contenido

 Sección 1 14 Sección 2 22 Sección 3 35 Sección 4 75 Sección 5 92 Sección 6 93 Sección 7 109 Sección 8 110
 Sección 15 249 Sección 16 256 Sección 17 259 Sección 18 263 Sección 19 264 Sección 20 291 Sección 21 316 Sección 22 318

 Sección 9 144 Sección 10 165 Sección 11 180 Sección 12 182 Sección 13 243 Sección 14 248
 Sección 23 319 Sección 24 394 Sección 25 435 Sección 26 445 Sección 27 486 Sección 28 489

Pasajes populares

Página 21 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 369 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Página 390 - ... figures are to one another in the duplicate ratio of their homologous sides.
Página 97 - Let it be granted that a straight line may be drawn from any one point to any other point.
Página 370 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Página 96 - 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.
Página 40 - Any two sides of a triangle are together greater than the third side.
Página 143 - Three times the sum of the squares on the sides of a triangle is equal to four times the sum of the squares of the lines joining the middle point of each side with the opposite angles.
Página 407 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Página 156 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square...