Elements of Arithmetic, Algebra, and GeometryAdam Black and William Tait, 1826 |
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Página 10
... left ; the latter ten times by writing on the right hand merely . Thus in re- gard to the increasing of C15 , CID = 1000 and CCI - 10,000 . Next in respect of the character 10 , 10 = 500 and 100 = 5000 . Farther , 10 ARITHMETIC .
... left ; the latter ten times by writing on the right hand merely . Thus in re- gard to the increasing of C15 , CID = 1000 and CCI - 10,000 . Next in respect of the character 10 , 10 = 500 and 100 = 5000 . Farther , 10 ARITHMETIC .
Página 45
... respect to the place of the decimal point . 65. Since the decimal point separates the integral units from the decimal parts , its change of place will necessarily be accompanied by a change of value of the total number . In moving the ...
... respect to the place of the decimal point . 65. Since the decimal point separates the integral units from the decimal parts , its change of place will necessarily be accompanied by a change of value of the total number . In moving the ...
Página 53
... respect of composition , certain signs are employed , which are as follow : - 4. The sign ( plus ) signifies that the quantity to which it is prefixed is to be added . Thus a + b signifies that the quantity represented by b is to be ...
... respect of composition , certain signs are employed , which are as follow : - 4. The sign ( plus ) signifies that the quantity to which it is prefixed is to be added . Thus a + b signifies that the quantity represented by b is to be ...
Página 72
... which is common to them both , without in any respect changing the result . In the present example , the remainder -2b x2 -2b2x is divided by ➡2bx , which gives the quotient x + b . Ex . 2. Reduce x2 + x y + y2 72 ALGEBRA .
... which is common to them both , without in any respect changing the result . In the present example , the remainder -2b x2 -2b2x is divided by ➡2bx , which gives the quotient x + b . Ex . 2. Reduce x2 + x y + y2 72 ALGEBRA .
Página 108
... respect , changing the value of the unknown quantity . Thus , if x - a - b - c , then , by transposition , x = a + b - c . If the signs of all the terms be changed , then we shall have a - x = c - b ; and hence , by transposing to the ...
... respect , changing the value of the unknown quantity . Thus , if x - a - b - c , then , by transposition , x = a + b - c . If the signs of all the terms be changed , then we shall have a - x = c - b ; and hence , by transposing to the ...
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Términos y frases comunes
algebraic quantities angle ABC angle ACB angle BAC angle CAB angle EBA annex Arithmetic binomial Binomial Theorem bisected Book centre ciphers circumference coefficient consequently continued fraction cube root denominator diameter difference divided dividend divisor drawn equation example expressed exterior angle figure find the values fore fourth given circle given number greater greatest common measure guinea Hence improper fraction join least common multiple less manner merator minuend multiplied number of terms opposite angles parallel parallelogram perpendicular preceding prefixed PROP Q. E. D. Cor quotient ratio Reduce remaining angle Required the sum right angles rule Scholium sides square root straight line subtracted subtrahend surd tangent THEOREM third Transp triangle ABC units unity unknown quantity vulgar fraction Wherefore whole angle whole number
Pasajes populares
Página 174 - Similar triangles are to one another in the duplicate ratio of their homologous sides.
Página 132 - 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.
Página 172 - But by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : And the angle at A is equal to the angle at D ; wherefore...
Página 171 - 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.
Página 129 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; the angle also contained by the sides of that which has the greater base, shall be greater than the angle contained by the sides equal to them of the other.
Página 171 - C to the remaining angle at F. For, if the angles ABC, DEF be not equal, one of them is greater than the other : Let ABC be the greater, and at the point B, in the straight line AB, make the angle ABG equal to the angle (23.
Página 164 - If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, be equal to the square on GEOMETRY.
Página 142 - EK, because EH is less than EK ; therefore the square of BH is greater than the square of FK, and the straight line BH greater than FK, and therefore BC is greater than FG.
Página 109 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 148 - From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two ; and when the adjacent angles are equal, they ate right angles.