A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for ExerciseG. B. Whittaker, 1825 - 372 σελίδες |
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Σελίδα vii
... Roots of Binomial Surds On the method of Indeterminate Coefficients ON FUNCTIONS Notation FACTORIALS COMBINATIONS ON CHANCES ON LIFE ANNUITIES 91 94 95 97 98 108 110 113 120 123 CONVERGENCY OF SERIES 149 ELEMENTS OF EUCLID - Book I. 159 ...
... Roots of Binomial Surds On the method of Indeterminate Coefficients ON FUNCTIONS Notation FACTORIALS COMBINATIONS ON CHANCES ON LIFE ANNUITIES 91 94 95 97 98 108 110 113 120 123 CONVERGENCY OF SERIES 149 ELEMENTS OF EUCLID - Book I. 159 ...
Σελίδα xi
... root or any quantity sought . Apses or Apsides , are the two points in the orbits of planets , when they are at their greatest and least distance from the sun or the earth , and the line which joins them is called the sign of Apsides ...
... root or any quantity sought . Apses or Apsides , are the two points in the orbits of planets , when they are at their greatest and least distance from the sun or the earth , and the line which joins them is called the sign of Apsides ...
Σελίδα xv
... roots of negative quan- tities . Impact , the simple or single action of one body upon another to put it in motion . Incidence or Line of Incidence , the direction or inclination in which one body strikes or acts on another ...
... roots of negative quan- tities . Impact , the simple or single action of one body upon another to put it in motion . Incidence or Line of Incidence , the direction or inclination in which one body strikes or acts on another ...
Σελίδα xvi
... root of a quantity . Radix or root , a certain finite expression or function , which being evolved or expanded , according to the rules proper to its form , produces a series . Rational , the quality of numbers , fractions , & c . when ...
... root of a quantity . Radix or root , a certain finite expression or function , which being evolved or expanded , according to the rules proper to its form , produces a series . Rational , the quality of numbers , fractions , & c . when ...
Σελίδα xvi
... roots , the former of which he called by the name of false roots . He also knew that the number of positive , or , as he called them , true roots , is equal to the number of the changes of the signs of the terms ; and that the co ...
... roots , the former of which he called by the name of false roots . He also knew that the number of positive , or , as he called them , true roots , is equal to the number of the changes of the signs of the terms ; and that the co ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal altitude angle ABC angle BAC axis bisected centre circle ABCD circumference co-efficient cone conic section convergency curve cylinder described diameter divided draw equal angles equation equiangular equimultiples factors fluxion fore fraction geometrical progression given straight line gnomon greater Hence hyperbola join less Let ABC magnitudes multiple opposite parabola parallel parallelogram perpendicular plane angles polygon prism produced proportional pyramid Q. E. D. PROP Q. E. D. Proposition radius rectangle rectangle contained rectilineal figure remaining angle right angles segment shewn side BC similar sine solid angle solid parallelopiped spherical triangle square of AC subtract surd tang tangent Theorem third tiple triangle ABC vertex whence Wherefore
Δημοφιλή αποσπάσματα
Σελίδα 172 - 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...
Σελίδα 191 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 190 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Σελίδα 196 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Σελίδα 192 - 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 on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Σελίδα 177 - 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.
Σελίδα 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Σελίδα 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Σελίδα 286 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 179 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.