A Course of Mathematics: Designed for the Use of the Officers and Cadets, of the Royal Military College, Volume 2author, 1813 - Mathematics |
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Page 283
... Scholium . In comparing Articles 274 and 287 , the reader will perceive that the latter may be considered as a repetition of the former ; the difference consisting merely in the signs + and which vary in a few steps of the process ...
... Scholium . In comparing Articles 274 and 287 , the reader will perceive that the latter may be considered as a repetition of the former ; the difference consisting merely in the signs + and which vary in a few steps of the process ...
Page 290
... SCHOLIUM . The a- symtotic space GVPKS the ordinate or line VB , is therefore bisected by S B K which is a geometrical mean between the extremes GS , PK . Hence it appears that when GS , VB , PK , RL , & c . are in geometrical ...
... SCHOLIUM . The a- symtotic space GVPKS the ordinate or line VB , is therefore bisected by S B K which is a geometrical mean between the extremes GS , PK . Hence it appears that when GS , VB , PK , RL , & c . are in geometrical ...
Page 310
... is , the ratio of the velocities is compounded of the direct ratio of the momenta , and the reciprocal ratio of the weights or quantities of matter . SCHOLIUM . To exemplify this proposition in numbers , suppose 310 GENERAL LAWS.
... is , the ratio of the velocities is compounded of the direct ratio of the momenta , and the reciprocal ratio of the weights or quantities of matter . SCHOLIUM . To exemplify this proposition in numbers , suppose 310 GENERAL LAWS.
Page 311
... SCHOLIUM . To exemplify this proposition in numbers , suppose two cannon shot , one 9lb . the other 36lb . to strike an obstacle with the re- spective velocities of 1000 and 800 feet per second ; then their momenta or the forces with ...
... SCHOLIUM . To exemplify this proposition in numbers , suppose two cannon shot , one 9lb . the other 36lb . to strike an obstacle with the re- spective velocities of 1000 and 800 feet per second ; then their momenta or the forces with ...
Page 312
... SCHOLIUM . Let w the weight or mass or quantity of matter in a body , f the force constantly acting on it , t = the time of its acting , = the velocity generated in that time , s the space described , m = the momentum at the end of the ...
... SCHOLIUM . Let w the weight or mass or quantity of matter in a body , f the force constantly acting on it , t = the time of its acting , = the velocity generated in that time , s the space described , m = the momentum at the end of the ...
Other editions - View all
A Course of Mathematics, Vol. 1: Designed for the Use of the Officers and ... Isaac Dalby No preview available - 2018 |
A Course of Mathematics ...: Designed for the Use of the Officers and Cadets ... Isaac Dalby No preview available - 2016 |
Common terms and phrases
angle arithmetical progression axis bisect body centre of gravity circle coefficient column completing the square consequently Corol cubic curve cylinder denominator denote depth descending described diameter difference direction distance divided divisor ellipse equal equation equilibrio example expression feet per second fluid force fraction fulcrum Geom geometrical geometrical progression given gives horizontal hyperbola inches infinite lever logarithms motion move multiplied nearly number of terms ordinate ounces parabola parallel pendulum perpendicular plane pressure proportional quadratic equation quotient radius ratio rectangle reduced SCHOLIUM shot sides sine specific gravity square root subtangent subtracted Suppose Surds surface tangent theorem triangle velocity vertex vertical vulgar fraction weight whence whole number
Popular passages
Page 51 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 208 - Two partners, A and B, gained £ 140 by trade ; A's money was 3 months in trade, and his gain was ,.£60 less than his stock; and B's money, which was <£50 more than A's, was in trade 5 months. What was A's stock ? Ans.
Page 288 - Every body continues in its state of rest, or uniform motion in a right line, unless it is compelled to change that state by forces impressed upon it.
Page 78 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 228 - The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides.
Page 45 - If any number of magnitudes are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents.
Page 266 - Fig. 83,84. conjugate diameters is equal to the sum of the squares of the axes ; but in an hyperbola the difference of the squares of any two conjugate diameters is equal to the difference of the squares of the axes.
Page 208 - Find two numbers whose product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes.
Page 92 - B, where each consisted of as many ranks as it had men in front, was 84; but when the columns changed ground, and A was drawn up with the front that B had, and B with the front that A had, then the number of ranks in both columns was.
Page 43 - In any proportion, the product of the means is equal to the product of the extremes.