# The Harpur Euclid: An Edition of Euclid's Elements

Rivingtons, 1890 - 515 من الصفحات

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### المحتويات

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

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

### مقاطع مشهورة

الصفحة 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.
الصفحة 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.
الصفحة 390 - ... figures are to one another in the duplicate ratio of their homologous sides.
الصفحة 97 - Let it be granted that a straight line may be drawn from any one point to any other point.
الصفحة 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.
الصفحة 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.
الصفحة 40 - Any two sides of a triangle are together greater than the third side.
الصفحة 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.
الصفحة 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.
الصفحة 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...