A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for ExerciseG. B. Whittaker, 1825 - 372 sider |
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Resultat 1-5 av 100
Side xxx
... pass into another , having to the former no deter- minate relation . This is the calculus of La Grange ; and , though it was invented expressly with a view to the problems just mentioned , it has been found of great use in many physical ...
... pass into another , having to the former no deter- minate relation . This is the calculus of La Grange ; and , though it was invented expressly with a view to the problems just mentioned , it has been found of great use in many physical ...
Side 202
... pass through the centre , it shall cut it at right angles and if it cut it at right angles , it shall bisect it . Let ABC be a circle , and let CD , a straight line drawn through the centre , bisect any straight line AB , which does not ...
... pass through the centre , it shall cut it at right angles and if it cut it at right angles , it shall bisect it . Let ABC be a circle , and let CD , a straight line drawn through the centre , bisect any straight line AB , which does not ...
Side 203
... pass through the centre : AC , BD do not bisect one another . For , if it is possible , let AE be equal to EC and BE to ED ; if one of the lines pass through the centre , it is plain that it cannot be bi- sected by the other which does ...
... pass through the centre : AC , BD do not bisect one another . For , if it is possible , let AE be equal to EC and BE to ED ; if one of the lines pass through the centre , it is plain that it cannot be bi- sected by the other which does ...
Side 204
... passes through the centre is always greater than one more remote : And from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and ...
... passes through the centre is always greater than one more remote : And from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and ...
Side 205
... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through the centre ; and of the rest , that which is nearer to that through the centre is always greater than the more ...
... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through the centre ; and of the rest , that which is nearer to that through the centre is always greater than the more ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Side 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Side 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...
Side 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.