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 σελίδες |
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Σελίδα
... taken from various Collections which have been published in Cambridge and elsewhere at different times ; and the remainder I have myself supplied . I have compiled , rather than invented , as much as the circum- stances of the case ...
... taken from various Collections which have been published in Cambridge and elsewhere at different times ; and the remainder I have myself supplied . I have compiled , rather than invented , as much as the circum- stances of the case ...
Σελίδα 31
... taken from each , in order to form a third mixture which shall contain 5 gallons of water and 11 of wine ? ARITHMETICAL PROGRESSION . 1. The latter half of 2n terms of any arithmetical of the sum of 3n terms of the same series . series ...
... taken from each , in order to form a third mixture which shall contain 5 gallons of water and 11 of wine ? ARITHMETICAL PROGRESSION . 1. The latter half of 2n terms of any arithmetical of the sum of 3n terms of the same series . series ...
Σελίδα 37
... taken 3 together , of 9 things taken 4 together , and of 6 things taken all together . 2 . Find the number of permutations of 7 things taken all together , of which 3 are of one kind and 4 of another . 3. Find the number of permutations ...
... taken 3 together , of 9 things taken 4 together , and of 6 things taken all together . 2 . Find the number of permutations of 7 things taken all together , of which 3 are of one kind and 4 of another . 3. Find the number of permutations ...
Σελίδα 38
... taken p together , is to the number taken p + 2 together as a : b . Find n . Example : a = 5 , b = 18 , p = 3 . - 9. The number of permutations of n things taken r together the number of permutations taken r 1 toge- ther : 101 , and the ...
... taken p together , is to the number taken p + 2 together as a : b . Find n . Example : a = 5 , b = 18 , p = 3 . - 9. The number of permutations of n things taken r together the number of permutations taken r 1 toge- ther : 101 , and the ...
Σελίδα 43
... taken 1 , 2 , 3 , ... n at a time , of which there are p of one sort , q of another , and r of another , = ( p + 1 ) ( q + 1 ) ( r + 1 ) − 1 . 8 * . If ( ba ) ( y – ma ) - then will = ( nb - ma ) ( x − a ) , - and ( b'- a ' ) ( y – mb ...
... taken 1 , 2 , 3 , ... n at a time , of which there are p of one sort , q of another , and r of another , = ( p + 1 ) ( q + 1 ) ( r + 1 ) − 1 . 8 * . If ( ba ) ( y – ma ) - then will = ( nb - ma ) ( x − a ) , - and ( b'- a ' ) ( y – mb ...
Άλλες εκδόσεις - Προβολή όλων
A Collection of Problems and Examples, Adapted to the Elementary Course of ... Harvey Goodwin Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
A Collection of Problems and Examples Adapted to the 'Elementary Course of ... Harvey. Goodwin Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
A Collection of Problems and Examples, Adapted to the 'Elementary Course of ... Harvey Goodwin Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2010 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 111 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 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.
Σελίδα 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.