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 páginas |
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Página 13
... Square x3 - 2 . Cube a2 + bx + c , x3 - 3 . Raise to the fourth power a 1 , a INVOLUTION AND EVOLUTION . 1 , x3 — x3 + 1 , and x2 – 2xy + y2 . - - 1 . 2 , and 2 x − 3 . x + x3 , and x3 - - 4 . Write down the fifth powers of − ax3y ...
... Square x3 - 2 . Cube a2 + bx + c , x3 - 3 . Raise to the fourth power a 1 , a INVOLUTION AND EVOLUTION . 1 , x3 — x3 + 1 , and x2 – 2xy + y2 . - - 1 . 2 , and 2 x − 3 . x + x3 , and x3 - - 4 . Write down the fifth powers of − ax3y ...
Página 14
... square roots of the following 2 4 2 2m 2n a2x2 , a3bīc2 , 64a2x2 , 81 a3æ3 , and 25 a TM + nb TM + ” ̧ Write down the nth root of amn xp + n . Extract the square root of 6 — 2x1 + 2x3 + x2 - 2x +1 . - Also of 2x2 + 3x − 2x2 + 1 . - 14 ...
... square roots of the following 2 4 2 2m 2n a2x2 , a3bīc2 , 64a2x2 , 81 a3æ3 , and 25 a TM + nb TM + ” ̧ Write down the nth root of amn xp + n . Extract the square root of 6 — 2x1 + 2x3 + x2 - 2x +1 . - Also of 2x2 + 3x − 2x2 + 1 . - 14 ...
Página 28
... square yards . What are the dimensions of the field ? Ans . The length is 30 , and the breadth 25 yards . A farmer bought two flocks of sheep , the first of which contained 18 fewer than the second . If he had given 24 . for the first ...
... square yards . What are the dimensions of the field ? Ans . The length is 30 , and the breadth 25 yards . A farmer bought two flocks of sheep , the first of which contained 18 fewer than the second . If he had given 24 . for the first ...
Página 33
... square number can be represented under the form of an arithmetical progression commencing with unity . 18. In the two series 2 , 5 , 8 , ...... and 3 , 7 , 11 , ....... each continued to 100 terms , how many terms are identical ? 19 ...
... square number can be represented under the form of an arithmetical progression commencing with unity . 18. In the two series 2 , 5 , 8 , ...... and 3 , 7 , 11 , ....... each continued to 100 terms , how many terms are identical ? 19 ...
Página 43
... square root of n , and na2 = b , then will than 6 . 7 . 2ab √n = a ± 4a2 ± b ' , very nearly . If n be greater than 3 , then will √ be greater n + 1 . The number of different combinations of n things taken 1 , 2 , 3 , ... n at a time ...
... square root of n , and na2 = b , then will than 6 . 7 . 2ab √n = a ± 4a2 ± b ' , very nearly . If n be greater than 3 , then will √ be greater n + 1 . The number of different combinations of n things taken 1 , 2 , 3 , ... n at a time ...
Otras ediciones - Ver todas
A Collection of Problems and Examples, Adapted to the Elementary Course of ... Harvey Goodwin Sin vista previa disponible - 2019 |
A Collection of Problems and Examples Adapted to the 'Elementary Course of ... Harvey. Goodwin Sin vista previa disponible - 2015 |
A Collection of Problems and Examples, Adapted to the 'Elementary Course of ... Harvey Goodwin Sin vista previa disponible - 2010 |
Términos y frases comunes
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
Pasajes populares
Página 111 - If two triangles have two sides of the one equal to two sides of the...
Página 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.
Página 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.
Página 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.
Página 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.
Página 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Página 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.
Página 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.