Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra1873 |
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Σελίδα 109
... equation . An equation is called simple when only the first powers of the unknown quantities enter into it ; quadratic when the second powers are involved . 44. The solution of an equation proceeds upon the axiom SIMPLE EQUATIONS . 109.
... equation . An equation is called simple when only the first powers of the unknown quantities enter into it ; quadratic when the second powers are involved . 44. The solution of an equation proceeds upon the axiom SIMPLE EQUATIONS . 109.
Σελίδα 110
... equations may be thus stated . Remove ratio - fractions by multi- plying throughout by the L.C.M. of the denominators . Bring the terms involving the unknown to the left side ; the others to the right . Divide both sides by the co ...
... equations may be thus stated . Remove ratio - fractions by multi- plying throughout by the L.C.M. of the denominators . Bring the terms involving the unknown to the left side ; the others to the right . Divide both sides by the co ...
Σελίδα 111
... equations , worked out for the assistance of the student . ( 1. ) 1 ax Since 1 XC a + x a2 - x2 a + x + a --- ( a − x ) ( a + x ) 2 a a2 x2 x x a2 XC a2 .. x 2 a . 4 7 37 ( 2. ) x + 2 x + 3 x + 5x + 6 Here it is evident that ( x + 2 ) ...
... equations , worked out for the assistance of the student . ( 1. ) 1 ax Since 1 XC a + x a2 - x2 a + x + a --- ( a − x ) ( a + x ) 2 a a2 x2 x x a2 XC a2 .. x 2 a . 4 7 37 ( 2. ) x + 2 x + 3 x + 5x + 6 Here it is evident that ( x + 2 ) ...
Σελίδα 113
... equation = 0 . Otherwise , 2 = x2 + 3x + 2 3 x + = and 4 x = Thus x has two values , O and X = -- x2 + 7 x + 12 , 7 x + 12 , 21 . - 10 , 21 . Problems Producing Simple Equations . ONE UNKNOWN . 48. A question may be asked which is ...
... equation = 0 . Otherwise , 2 = x2 + 3x + 2 3 x + = and 4 x = Thus x has two values , O and X = -- x2 + 7 x + 12 , 7 x + 12 , 21 . - 10 , 21 . Problems Producing Simple Equations . ONE UNKNOWN . 48. A question may be asked which is ...
Σελίδα 115
... Equations involving more than one Unknown Quantity . 50. Here we must have as many separate and distinct equations as there are unknown quantities . Such equa- tions are called simultaneous . I. FOR TWO UNKNOWN QUANTITIES . There are ...
... Equations involving more than one Unknown Quantity . 50. Here we must have as many separate and distinct equations as there are unknown quantities . Such equa- tions are called simultaneous . I. FOR TWO UNKNOWN QUANTITIES . There are ...
Άλλες εκδόσεις - Προβολή όλων
Elementary Mathematics, Embracing Arithmetic, Geometry and Algebra Lewis Sergeant Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Elementary Mathematics, Embracing Arithmetic, Geometry and Algebra Lewis Sergeant Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Elementary Mathematics, Embracing Arithmetic, Geometry and Algebra Lewis Sergeant Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²b ABCD Algebra arithmetical ATLAS base called cent centre circle cloth common concrete consisting construction contained cost decimal denominator difference divide dividend division divisor double draw employed equal equations example expression factors falling feet figure Find fore four fraction francs given greater Hence hundred inches interest Join less lettered Maps measure meet method metres metrical Multiply opposite parallel parallelogram pound produced PROOF Prop proportion Proposition prove quantities questions radius ratio recurring Reduce remainder represent result right angles root rule shillings sides Similarly simple square straight line subtract third thousand triangle unit vulgar fraction weight whole
Δημοφιλή αποσπάσματα
Σελίδα 85 - If a side of any triangle be produced, the exterior angle is equal to the, two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Σελίδα 110 - If two triangles have two sides of the one equal to two sides of the other...
Σελίδα 105 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.
Σελίδα 83 - If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite angle on the same side; and also the two interior angles on the same side together equal to two right angles.