The first six books of the Elements of Euclid, with numerous exercises

Ingram, Cooke, 1853 - 147 من الصفحات

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الصفحة 2 - 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 : XVI.
الصفحة 42 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
الصفحة 4 - Let it be granted that a straight line may be drawn from any one point to any other point.
الصفحة 21 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
الصفحة 29 - To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
الصفحة 38 - 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 of...
الصفحة 15 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
الصفحة 13 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
الصفحة 4 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
الصفحة 126 - 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.