Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)William Somerville Orr W.S. Orr and Company, 1854 |
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Σελίδα
William Somerville Orr. THE 3373 MATHEMATICAL SCIENCES : INCLUDING LIBRARY OF THE SIMPLE ARITHMETIC , ALGEBRA , AND THE ELEMENTS OF EUCLID . BY J. R. YOUNG , LATE PROFESSOR OF MATHEMATICS . PLANES , SPHERICAL TRIGONOMETRY , SERIES ...
William Somerville Orr. THE 3373 MATHEMATICAL SCIENCES : INCLUDING LIBRARY OF THE SIMPLE ARITHMETIC , ALGEBRA , AND THE ELEMENTS OF EUCLID . BY J. R. YOUNG , LATE PROFESSOR OF MATHEMATICS . PLANES , SPHERICAL TRIGONOMETRY , SERIES ...
Σελίδα iii
... Arithmetic — including Algebra , Geometry , and Trigonometry ; and of each of these we propose to say a few words . Arithmetic is the science of numbers , and therefore treats of the various combinations of which numbers are susceptible ...
... Arithmetic — including Algebra , Geometry , and Trigonometry ; and of each of these we propose to say a few words . Arithmetic is the science of numbers , and therefore treats of the various combinations of which numbers are susceptible ...
Σελίδα iv
... Arithmetic , and the science of Geometry as treated by Euclid , differ essentially ; since the conception of equality employed in Geometry is quite different from the conception of equality employed in Arithmetic . In the former case ...
... Arithmetic , and the science of Geometry as treated by Euclid , differ essentially ; since the conception of equality employed in Geometry is quite different from the conception of equality employed in Arithmetic . In the former case ...
Σελίδα v
... Arithmetic ( page 1 ) , the remarks on Euclid's First Book ( page 68 ) , and elsewhere . We may here observe , that those parts of the subjects which are distinct problems , as distinguished from those which are instruments of further ...
... Arithmetic ( page 1 ) , the remarks on Euclid's First Book ( page 68 ) , and elsewhere . We may here observe , that those parts of the subjects which are distinct problems , as distinguished from those which are instruments of further ...
Σελίδα vi
... Arithmetic . The Elementary processes of Algebra , the first part of Trigonometry ( pages 292 to 329 ) , and the six books of Euclid's Geometry , the earnest student ought not merely to understand , but to be thoroughly familiar with ...
... Arithmetic . The Elementary processes of Algebra , the first part of Trigonometry ( pages 292 to 329 ) , and the six books of Euclid's Geometry , the earnest student ought not merely to understand , but to be thoroughly familiar with ...
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD Algebra arithmetic base Binomial Theorem bisect calculation called centre chord circumference coefficient common Completing the square contained cotan decimals denominator describe diameter divided dividend divisor draw ellipse equal angles equation equiangular equilateral Euclid EXAMPLES FOR EXERCISE expression exterior angle factors figure formula fraction frustum geometrical progression geometry given straight line greater h₂ Hence inscribed intersecting join latter less logarithm magnitudes manner measure multiplied operation parallel parallelogram perpendicular plane polygon prism Prop proportion proved Q. E. D. PROPOSITION quantity quotient radius ratio rectangle remainder result right angles rule sides sines solid angle sphere square root subtract suppose theorem third triangle ABC trigonometrical
Δημοφιλή αποσπάσματα
Σελίδα 86 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 47 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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.
Σελίδα 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.
Σελίδα 46 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Σελίδα 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.