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 31
... ARITHMETICAL PROGRESSION . 1. The latter half of 2n terms of any arithmetical of the sum of 3n terms of the same series . series = 2 . Sum the following series : 2 + 5 ALGEBRA . 31.
... ARITHMETICAL PROGRESSION . 1. The latter half of 2n terms of any arithmetical of the sum of 3n terms of the same series . series = 2 . Sum the following series : 2 + 5 ALGEBRA . 31.
Página 32
... arithmetical means between 2 and 14 . 5. Given the nth and mth terms of an arithmetical series , required the sum of p terms . 6. S1 , S2 , S3 ...... S are the sums of p arithmetical series continued to n terms ; the first terms are 1 ...
... arithmetical means between 2 and 14 . 5. Given the nth and mth terms of an arithmetical series , required the sum of p terms . 6. S1 , S2 , S3 ...... S are the sums of p arithmetical series continued to n terms ; the first terms are 1 ...
Página 33
... arithmetical means between 1 and 31 , and the 7th n -1th 5 : 9 ; required the number of means . :: 9. Find three numbers in arithmetical progression , whose product 120 , and whose sum = 15 . = 10. Write down the arithmetical series ...
... arithmetical means between 1 and 31 , and the 7th n -1th 5 : 9 ; required the number of means . :: 9. Find three numbers in arithmetical progression , whose product 120 , and whose sum = 15 . = 10. Write down the arithmetical series ...
Página 34
... arithmetical mean between a and b is greater than the geometrical . 6. If quantities are in geometrical progression , their differences are in geometrical progression . 7 . There are three numbers in geometrical progres- sion 34 ALGEBRA .
... arithmetical mean between a and b is greater than the geometrical . 6. If quantities are in geometrical progression , their differences are in geometrical progression . 7 . There are three numbers in geometrical progres- sion 34 ALGEBRA .
Página 35
... arithmetical mean exceeds the geometrical by 18. Find the numbers . 9. In any geometrical series , consisting of an even number of terms , the sum of the odd is to the sum of the even terms as 1 : r , r being the common ratio . 10 ...
... arithmetical mean exceeds the geometrical by 18. Find the numbers . 9. In any geometrical series , consisting of an even number of terms , the sum of the odd is to the sum of the even terms as 1 : r , r being the common ratio . 10 ...
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.