# The definitions, postulates, axioms, and enunciations of the propositions of the first six, and the eleventh and twelfth books of Euclid's Elements of geometry

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### المحتويات

 القسم 1 1 القسم 2 3 القسم 3 11 القسم 4 13 القسم 5 18 القسم 6 20
 القسم 7 28 القسم 8 33 القسم 9 40 القسم 10 43 القسم 11

### مقاطع مشهورة

الصفحة 8 - IF two triangles have two sides of the one equal to two sides of the...
الصفحة 29 - 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 6 - 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 14 - From this it is manifest, that if in a circle a straight line bisect another at right angles, the centre of the circle is in the line which bisects the other.
الصفحة 23 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
الصفحة 11 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
الصفحة 13 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
الصفحة 12 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
الصفحة 4 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
الصفحة 30 - ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BAC to the angle EDF, and the sides about...