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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Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 32
... 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 , 2 , 3 ...
... 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 , 2 , 3 ...
Σελίδα 33
... 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 , the 5th and ...
... 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 , the 5th and ...
Σελίδα 34
... 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 .
... 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 .
Σελίδα 35
... mean exceeds the geometrical by 18. Find the numbers . 9. In any geometrical series , consisting of an even number ... means of 4 numbers in geometrical progression is 2 , and the difference of the extremes is 7 ; find the numbers . 13 ...
... mean exceeds the geometrical by 18. Find the numbers . 9. In any geometrical series , consisting of an even number ... means of 4 numbers in geometrical progression is 2 , and the difference of the extremes is 7 ; find the numbers . 13 ...
Σελίδα 36
... means between a and b form a geometrical progression . 6. Insert 3 harmonical means between 1 and 1 11 • 7. If y be the harmonical mean between a and ≈ , and x and respectively the arithmetical and geometrical means between a and b ...
... means between a and b form a geometrical progression . 6. Insert 3 harmonical means between 1 and 1 11 • 7. If y be the harmonical mean between a and ≈ , and x and respectively the arithmetical and geometrical means between a and b ...
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A Collection of Problems and Examples, Adapted to the Elementary Course of ... Harvey Goodwin Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
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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.