A Collection of Problems and Examples Adapted to the "Elementary Course of Mathematics.": With an Appendix Containing the Questions Proposed During the First Three Days of the Senate-House Examinations in the Years 1848, 1849, 1850, and 1851J. Deighton, 1851 - 173 sider |
Fra bogen
Resultater 1-5 af 5
Side 3
... SUBTRACTION . Subtract ab + cd , from 2a + b - c + 3d . 1 . 2 . - Subtract 2a 3 ( b + c ) , from a − 2b + 2c . - 3. Subtract a ( x + y − x ) + b ( x − y + x ) , - - from ( a + b ) x + ( 2a + 3b ) y + ( a − b ) x . 4. Subtract ax + ...
... SUBTRACTION . Subtract ab + cd , from 2a + b - c + 3d . 1 . 2 . - Subtract 2a 3 ( b + c ) , from a − 2b + 2c . - 3. Subtract a ( x + y − x ) + b ( x − y + x ) , - - from ( a + b ) x + ( 2a + 3b ) y + ( a − b ) x . 4. Subtract ax + ...
Side 4
... Subtract ax + aby + 2bx , from 3a ( ax + by ) - b'x . 5. Subtract 24a x 17a x2 + 5x3 , 6 . - from 3a + 25a2x - 3a x2 + 10x3 . − Subtract 12 ( a + b ) x 13 ( a - b ) y , from 20a ( x + 2 y ) − 15b ( 2x − y ) . - 7 . Subtract 3ab + 4a3 ...
... Subtract ax + aby + 2bx , from 3a ( ax + by ) - b'x . 5. Subtract 24a x 17a x2 + 5x3 , 6 . - from 3a + 25a2x - 3a x2 + 10x3 . − Subtract 12 ( a + b ) x 13 ( a - b ) y , from 20a ( x + 2 y ) − 15b ( 2x − y ) . - 7 . Subtract 3ab + 4a3 ...
Side 25
... subtracted , the remainder will be 10 ? Ans . 6 . 2. There are two numbers , one of which is greater than the other by 3 , and the difference between the greater and the double of the less is also 3 : find the numbers . Ans . 6 and 9 ...
... subtracted , the remainder will be 10 ? Ans . 6 . 2. There are two numbers , one of which is greater than the other by 3 , and the difference between the greater and the double of the less is also 3 : find the numbers . Ans . 6 and 9 ...
Side 114
... subtraction represented by the signs + , respectively , prove the equi- valence of the two sets of operations indicated by - ( a - b ) ( cd ) and ac + bd - bc - ad , a being a number greater than b , c greater than d . What is the ...
... subtraction represented by the signs + , respectively , prove the equi- valence of the two sets of operations indicated by - ( a - b ) ( cd ) and ac + bd - bc - ad , a being a number greater than b , c greater than d . What is the ...
Side 146
... subtract that represented by 3297 , explaining every part of the process ; and thence infer the general rule . 2. Shew how to find the least whole number which is accurately divisible by each of two given whole numbers . Find the least ...
... subtract that represented by 3297 , explaining every part of the process ; and thence infer the general rule . 2. Shew how to find the least whole number which is accurately divisible by each of two given whole numbers . Find the least ...
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Almindelige termer og sætninger
angular points arithmetical arithmetical mean arithmetical series axis base bisects centre of gravity chord circle concave convex lens cos² cosec curve cylinder Describe determine diameter direction distance Divide drawn elastic balls ellipse equal equation equilibrium feet find the height Find the number find the position Find the velocity fluid focal length force geometrical focus geometrical progression geometrical series given point given velocity given weight horizontal plane hyperbola immersed inches incident inclined plane inscribed latus rectum luminous point mirror motion moving Multiply observed parabola parallel parallelogram pencil of rays perpendicular placed pressure proportional prove pullies quantities radii radius ratio reflexion refracted respectively right angle shew sides sin² specific gravity sphere spherical square St John's College straight line string passing Subtract surface tangent tower triangle vertex
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Side 111 - If two triangles have two sides of the one equal to two sides of the...
Side 128 - To divide a given straight line 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 111 - 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 112 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Side 144 - ... a circle. The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Side 112 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 160 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.