A Course of Mathematics ...: Composed for the Use of the Royal Military Academy ...F. C. and J. Rivington, 1811 - Mathematics |
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Page 57
... consequently of will be × 2 or 1 ; that is , the numerators are multiplied together , and also the denominators , as in the Rule . When the compound fraction consists of more than two single ones ; having first reduced two of them as ...
... consequently of will be × 2 or 1 ; that is , the numerators are multiplied together , and also the denominators , as in the Rule . When the compound fraction consists of more than two single ones ; having first reduced two of them as ...
Page 58
... . * This is evidently no more than multiplying each numerator and its denominator by the same quantity , and consequently the value of the fraction is not altered . 3. Reduce 3. Reduce ,, and to a common denominator . 36 58 ARITHMETIC .
... . * This is evidently no more than multiplying each numerator and its denominator by the same quantity , and consequently the value of the fraction is not altered . 3. Reduce 3. Reduce ,, and to a common denominator . 36 58 ARITHMETIC .
Page 70
... , by the nature of Multiplica- tion ; and consequently the quotient itself must contain as many as the dividend exceeds the divisor . Another Another way to know the place for the decimal point 70 ARITHMETIC . Division of Decimals.
... , by the nature of Multiplica- tion ; and consequently the quotient itself must contain as many as the dividend exceeds the divisor . Another Another way to know the place for the decimal point 70 ARITHMETIC . Division of Decimals.
Page 111
... Consequently , Consequently the greatest term is equal to the least term ARITHMETICAL PROPORTION . / 111 Arithmetical Proportion.
... Consequently , Consequently the greatest term is equal to the least term ARITHMETICAL PROPORTION . / 111 Arithmetical Proportion.
Page 112
Composed for the Use of the Royal Military Academy ... Charles Hutton. Consequently the greatest term is equal to the least term added to the product of the common difference multiplied by 1 less than the number of terms . THEOREM 4. The ...
Composed for the Use of the Royal Military Academy ... Charles Hutton. Consequently the greatest term is equal to the least term added to the product of the common difference multiplied by 1 less than the number of terms . THEOREM 4. The ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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...
Page 32 - Place the numbers so that those of the same denomination may stand directly under each other.
Page 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.
Page 297 - Hence, conversely, a line drawn perpendicular to a tangent, at the point of contact, passes through the centre of the circle.
Page 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.
Page 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.
Page 275 - THE Difference of any Two Sides of a Triangle, is Less than the Third Side.
Page 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.