A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for ExerciseG. B. Whittaker, 1825 - 372 páginas |
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Página xiv
... Factors , a name given to two numbers that are multiplied together . Fluent , the variable quantity , in the doctrine of Fluxions , which is considered as increasing or decreasing . Fluxion , the rate or proportion at which a flowing or ...
... Factors , a name given to two numbers that are multiplied together . Fluent , the variable quantity , in the doctrine of Fluxions , which is considered as increasing or decreasing . Fluxion , the rate or proportion at which a flowing or ...
Página xv
... factors in multiplication , being the number to be multiplied . Negative , in Algebra , something maked with the sign — Nodes , the two opposite points where the plane of the orbit of a planet intersects the plane of the ecliptic ...
... factors in multiplication , being the number to be multiplied . Negative , in Algebra , something maked with the sign — Nodes , the two opposite points where the plane of the orbit of a planet intersects the plane of the ecliptic ...
Página xvi
... factors had the sign minus before them , must be added into one sum with those of which all the factors had the sign plus ; while those of which one of the factors had the sign plus , and the other the sign minus , must be subtracted ...
... factors had the sign minus before them , must be added into one sum with those of which all the factors had the sign plus ; while those of which one of the factors had the sign plus , and the other the sign minus , must be subtracted ...
Página xvi
... factors cannot be found , but that the quadratic factors may be found ; and they also point out the means of discovering them . The aptitude of these same signs to denote contrariety of position among geome- tric magnitudes , makes the ...
... factors cannot be found , but that the quadratic factors may be found ; and they also point out the means of discovering them . The aptitude of these same signs to denote contrariety of position among geome- tric magnitudes , makes the ...
Página 7
... factors must be multiplied together , to form the co - efficient of the product . 3. That the letters of which the factors are composed must be set down , one after another , according to their order in the alphabet . 4. That if the ...
... factors must be multiplied together , to form the co - efficient of the product . 3. That the letters of which the factors are composed must be set down , one after another , according to their order in the alphabet . 4. That if the ...
Índice
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709 | |
Palavras e frases frequentes
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
Passagens conhecidas
Página 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...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Página 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Página 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...
Página 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.