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 v
... whole of these sciences at one view before his Pupils . Nor will the work be without its uses as a Text and Reference Book in our Universities , among whose Students it will serve , at least , as a chain connecting all the branches of ...
... whole of these sciences at one view before his Pupils . Nor will the work be without its uses as a Text and Reference Book in our Universities , among whose Students it will serve , at least , as a chain connecting all the branches of ...
Σελίδα xxviii
... whole change of declina- tion having amounted to 40 " . This motion occasioned a deal of sur- prise to the two observers , as it lay the contrary way to what it would have done if it had proceeded from the parallax of the star . The ...
... whole change of declina- tion having amounted to 40 " . This motion occasioned a deal of sur- prise to the two observers , as it lay the contrary way to what it would have done if it had proceeded from the parallax of the star . The ...
Σελίδα 4
... whole will be twice the greater number ; for if a + b be added to a — b , the sum is 2a . CASE III . To add unlike quantities . Rule . Collect all the like quantities , by the last rules , and set down those which are unlike , one after ...
... whole will be twice the greater number ; for if a + b be added to a — b , the sum is 2a . CASE III . To add unlike quantities . Rule . Collect all the like quantities , by the last rules , and set down those which are unlike , one after ...
Σελίδα 13
... whole or mixed quantity . Rule . Observe which terms of the numerator are divisible by the denominator without a remainder , the quotient will give the integral part ; to this annex the remaining terms of the numerator , with the ...
... whole or mixed quantity . Rule . Observe which terms of the numerator are divisible by the denominator without a remainder , the quotient will give the integral part ; to this annex the remaining terms of the numerator , with the ...
Σελίδα 27
... whole root , and subtract and divide as before ; and so on till the whole is finished . * Examples . 1. Required the square root of a * —2a3x + 3a2x2 — 2ax3 + x * . a - 2a3x + 3a2x2 - 2ax3 + x * ( a2 — ax + x2 2ao ) -2a3x a1— 2a3x + ...
... whole root , and subtract and divide as before ; and so on till the whole is finished . * Examples . 1. Required the square root of a * —2a3x + 3a2x2 — 2ax3 + x * . a - 2a3x + 3a2x2 - 2ax3 + x * ( a2 — ax + x2 2ao ) -2a3x a1— 2a3x + ...
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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.