A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for ExerciseG. B. Whittaker, 1825 - 372 Seiten |
Im Buch
Ergebnisse 1-5 von 37
Seite xii
... Exponent . Chord , a right line , connecting the two extrems of an arc . Circumgyration , the revolving motion of any body about a centre . Coefficients in Algebra , numbers or given quantities usually prefixed to letters or unknown ...
... Exponent . Chord , a right line , connecting the two extrems of an arc . Circumgyration , the revolving motion of any body about a centre . Coefficients in Algebra , numbers or given quantities usually prefixed to letters or unknown ...
Seite xiv
... Exponent , the number of quantity expressing the degree or eleva- tion of the power . Expression , any Algebraical quantity , simple or compound . Extermination , the taking away of certain unknown quantities from depending equations ...
... Exponent , the number of quantity expressing the degree or eleva- tion of the power . Expression , any Algebraical quantity , simple or compound . Extermination , the taking away of certain unknown quantities from depending equations ...
Seite xv
... exponents of their power are radical quantities ; as x√2 . Intersection , the cutting off one line or plane by another . Isoperimetrical figures , such as have equal perimeters or circum- ferences . Lemniscate , the name of a curve in ...
... exponents of their power are radical quantities ; as x√2 . Intersection , the cutting off one line or plane by another . Isoperimetrical figures , such as have equal perimeters or circum- ferences . Lemniscate , the name of a curve in ...
Seite xvi
... exponent of the variable quan- tity is an integer . The method of indivisibles , however , was not without difficulties , and could not but be liable to objection , with those accustomed to the rigorous exactness of the ancient geometry ...
... exponent of the variable quan- tity is an integer . The method of indivisibles , however , was not without difficulties , and could not but be liable to objection , with those accustomed to the rigorous exactness of the ancient geometry ...
Seite xvi
... exponent of the highest power of the unknown quantity . He was also in pos- session of the very refined and difficult rule , which forms the sums of the powers of the roots of an equation from the coefficients of its terms . By HARRIOT ...
... exponent of the highest power of the unknown quantity . He was also in pos- session of the very refined and difficult rule , which forms the sums of the powers of the roots of an equation from the coefficients of its terms . By HARRIOT ...
Inhalt
xi | |
xvi | |
xvi | |
xvi | |
xxvi | |
19 | |
97 | |
108 | |
120 | |
149 | |
159 | |
344 | |
367 | |
387 | |
397 | |
404 | |
410 | |
417 | |
418 | |
426 | |
437 | |
447 | |
576 | |
577 | |
588 | |
607 | |
627 | |
637 | |
651 | |
663 | |
673 | |
687 | |
694 | |
703 | |
709 | |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Seite 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Seite 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...
Seite 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.