Elements of Arithmetic, Algebra, and GeometryAdam Black and William Tait, 1826 |
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Σελίδα
... Continued Fractions Decimal Fractions PART II . ALGEBRA . ALGEBRA Addition Subtraction Multiplication Division Fractions Page 3 12 15 17 21 24 30 31 32 33 35 41 555 53 56 59 60 63 71 Page 76 Addition of Fractions Subtraction of ...
... Continued Fractions Decimal Fractions PART II . ALGEBRA . ALGEBRA Addition Subtraction Multiplication Division Fractions Page 3 12 15 17 21 24 30 31 32 33 35 41 555 53 56 59 60 63 71 Page 76 Addition of Fractions Subtraction of ...
Σελίδα 4
... continued , during their whole career of empire , to prac- tise a kind of tangible Arithmetic . In this , it is evident , that the augmenting value of rank would be quite arbitrary , depending in every case on a key , to be fixed upon ...
... continued , during their whole career of empire , to prac- tise a kind of tangible Arithmetic . In this , it is evident , that the augmenting value of rank would be quite arbitrary , depending in every case on a key , to be fixed upon ...
Σελίδα 12
... continued withdrawing of the same quantity from ano- ther , it is then also capable of abbreviation , and takes the name of Division . ADDITION . 17. Addition , according to what is stated in the preceding article , is the method of ...
... continued withdrawing of the same quantity from ano- ther , it is then also capable of abbreviation , and takes the name of Division . ADDITION . 17. Addition , according to what is stated in the preceding article , is the method of ...
Σελίδα 13
... continued throughout any number of columns . Hence the sum of the given numbers is expressed by one unit of the fifth order , four of the fourth , six of the third , four of the second , and nine of the first . Same example by the ...
... continued throughout any number of columns . Hence the sum of the given numbers is expressed by one unit of the fifth order , four of the fourth , six of the third , four of the second , and nine of the first . Same example by the ...
Σελίδα 16
... continued throughout any number of columns . 6518 19. This mode of procedure , which is certainly the most natural , is adopted by the Continental Arithmeticians , but dif- fers a little from that employed in Britain . To take the same ...
... continued throughout any number of columns . 6518 19. This mode of procedure , which is certainly the most natural , is adopted by the Continental Arithmeticians , but dif- fers a little from that employed in Britain . To take the same ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 174 - Similar triangles are to one another in the duplicate ratio of their homologous sides.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.