A Course of Mathematics ...: Composed for the Use of the Royal Military Academy ...F. C. and J. Rivington, 1811 |
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Σελίδα 111
... extremes is equal to the sum of the two means . Thus , of the four 2 , 4 , 6 , 8 , here 2 + 8 = 4 + 6 = 10 . THEOREM 2. In any continued arithmetical progression , the sum of the two extremes is equal to the sum of any two / means that ...
... extremes is equal to the sum of the two means . Thus , of the four 2 , 4 , 6 , 8 , here 2 + 8 = 4 + 6 = 10 . THEOREM 2. In any continued arithmetical progression , the sum of the two extremes is equal to the sum of any two / means that ...
Σελίδα 112
... extremes mul- tiplied by the number of terms , and divided by 2 ; or the sum of the two extremes multiplied by the number of the terms , gives double the sum of all the terms in the series . 1 ; This is made evident by setting the terms ...
... extremes mul- tiplied by the number of terms , and divided by 2 ; or the sum of the two extremes multiplied by the number of the terms , gives double the sum of all the terms in the series . 1 ; This is made evident by setting the terms ...
Σελίδα 113
... Extremes , and the Number of Terms ; to find the Common Difference . SUBTRACT the less extreme from the greater , and divide the remainder by 1 less than the number of terms , for the common difference . EXAMPLES . 1. The extremes being ...
... Extremes , and the Number of Terms ; to find the Common Difference . SUBTRACT the less extreme from the greater , and divide the remainder by 1 less than the number of terms , for the common difference . EXAMPLES . 1. The extremes being ...
Σελίδα 114
... extremes or terms together , and take half their sum for the arithmetical mean required . EXAMPLE . To find an arithmetical mean between the two numbers 4 and 14 . Here 14 4 2 ) 18 Ans . 9 the mean required . PROBLEM PROBLEM V. To find ...
... extremes or terms together , and take half their sum for the arithmetical mean required . EXAMPLE . To find an arithmetical mean between the two numbers 4 and 14 . Here 14 4 2 ) 18 Ans . 9 the mean required . PROBLEM PROBLEM V. To find ...
Σελίδα 115
... Extremes . SUBTRACT the less extreme from the greater , and divide the difference by 3 , so will the quotient be the common dif- . ference ; which being continually added to the less extreme , or taken from the greater , gives the means ...
... Extremes . SUBTRACT the less extreme from the greater , and divide the difference by 3 , so will the quotient be the common dif- . ference ; which being continually added to the less extreme , or taken from the greater , gives the means ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² angles equal arithmetical mean arithmetical progression arithmetical series BC² bisected centre chord ciphers circle circumference compound compound interest consequently contained cube root cubic equation decimal denotes diameter divide dividend division divisor draw equal angles equal th equation equiangular equilateral EXAMPLES figure fraction gallon geometrical geometrical progression given number gives greater half the arc Hence improper fraction infinite series Inscribed integer less Let ABC logarithm manner measured by half mult Multiply number of terms opposite angles outward angle parallel parallelogram perpendicular plane polygon prism PROBLEM proportional Q. E. D. THEOREM QUEST quotient radii radius ratio rectangle Reduce remainder right angles Right-angled Triangle rule side AC square root subtract surd tangent third transposing triangle ABC VULGAR FRACTIONS whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 280 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 2 - The sum of the three angles of any triangle is equal to two right angles, this is a Theorem, the truth of which is demonstrated by Geometry.
Σελίδα 4 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Σελίδα 32 - Place the numbers so that those of the same denomination may stand directly under each other.
Σελίδα 11 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.
Σελίδα 297 - Hence, conversely, a line drawn perpendicular to a tangent, at the point of contact, passes through the centre of the circle.
Σελίδα 264 - A Right angle is that which is made by one line perpendicular to another. Or when the angles on each side are equal to one another, they are right angles.
Σελίδα 325 - Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes.
Σελίδα 275 - THE Difference of any Two Sides of a Triangle, is Less than the Third Side.
Σελίδα 184 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.