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 221
... transpose them to the other side of the equa- tion , and change their signs . Which is only adding or sub- tracting the same quantities on both sides , in order to get all the unknown terms on one side of the equation , and all the ...
... transpose them to the other side of the equa- tion , and change their signs . Which is only adding or sub- tracting the same quantities on both sides , in order to get all the unknown terms on one side of the equation , and all the ...
Page 222
... transposing 5 gives r = 8-5 = 3 . And , if x - 3 + 7 = 9 ; then transposing the 3 and 7 , gives 93-75 . Also , if x -- a + b cd : then by transposing a and b , it is abcd . x = In like manner , if 5x − 6 = 4x + 10 , then by transposing ...
... transposing 5 gives r = 8-5 = 3 . And , if x - 3 + 7 = 9 ; then transposing the 3 and 7 , gives 93-75 . Also , if x -- a + b cd : then by transposing a and b , it is abcd . x = In like manner , if 5x − 6 = 4x + 10 , then by transposing ...
Page 223
... transposing 10 , it is 2x = 54 ; Lastly , dividing by 2 , gives x = 27 . Also , if 3 / 3r + 4 + 3 = 6 : Then by transposing 3 , it is 3 / 3x + 4 = 3 ; And by cubing , it is 3x + 4 = 27 ; · Also , by transposing 4 , it is 3x = 23 ...
... transposing 10 , it is 2x = 54 ; Lastly , dividing by 2 , gives x = 27 . Also , if 3 / 3r + 4 + 3 = 6 : Then by transposing 3 , it is 3 / 3x + 4 = 3 ; And by cubing , it is 3x + 4 = 27 ; · Also , by transposing 4 , it is 3x = 23 ...
Page 224
... transposing x , gives 10 = 3x ; Lastly , dividing by 3 , gives 33 = x . RULE VII . WHEN the same quantity is found on both sides of an equation , with the same sign , either plus or minus , it may be left out of both : and when every ...
... transposing x , gives 10 = 3x ; Lastly , dividing by 3 , gives 33 = x . RULE VII . WHEN the same quantity is found on both sides of an equation , with the same sign , either plus or minus , it may be left out of both : and when every ...
Page 225
... transposing 20 and 12 and 10x , gives 6x ≈ 84 ; Then dividing by 6 , gives x = 14 . 3. Let 4ax - 5b3dx + 2c be ... transposing 12 and 2x , gives 3x = 21 ; Lastly , dividing by 3 , gives x 7 . 5. Given 9ax3- 15abx2 = 6ax3 + 12ax2 ; to ...
... transposing 20 and 12 and 10x , gives 6x ≈ 84 ; Then dividing by 6 , gives x = 14 . 3. Let 4ax - 5b3dx + 2c be ... transposing 12 and 2x , gives 3x = 21 ; Lastly , dividing by 3 , gives x 7 . 5. Given 9ax3- 15abx2 = 6ax3 + 12ax2 ; to ...
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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.