# Orr's Circle of the Sciences: The mathematical sciences

W.S. Orr and Company, 1854

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### المحتوى

 Addition and Subtraction 166 170 Multiplication and Division 179 178 Exponents Roots and Surds 191 217 201 Ratio and Proportion 218 Extraction of Square Roots 228232 232 Spherical Geometry 251
 Volume of the Pyramid 388 388 To Find the Solid Content of a Rail 394 Spherical Trigonometry 401 Napiers Analogies 407 Practical Geometry 421 Conic Sections 438 The Parabola 444

### مقاطع مشهورة

الصفحة 86 - If two triangles have two sides of the one equal to two sides of the...
الصفحة 60 - If a straight line meets 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 58 - ... equal angles in each ; then shall the other sides be equal each to each : and also the third angle of the one to the third angle of the other.
الصفحة 45 - 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 190 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
الصفحة 47 - Let it be granted that a straight line may be drawn from any one point to any other point.
الصفحة 151 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
الصفحة 96 - 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 46 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
الصفحة 66 - From this it is manifest how to a given straight line to apply a parallelogram, which shall have an angle equal to a given rectilineal angle, and shall be equal to a given rectilineal figure, viz.