Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and Geometry, in Their Relations and UsesOrr and Smith, 1836 - 496 σελίδες |
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Σελίδα 9
... space , has no magnitude , that is , occupies no space , and therefore it can have no real existence ; 10 NOTION OF MATHEMATICS . and yet it is one PROOF BY REASONING . 9.
... space , has no magnitude , that is , occupies no space , and therefore it can have no real existence ; 10 NOTION OF MATHEMATICS . and yet it is one PROOF BY REASONING . 9.
Σελίδα 10
... space in the same way as a point marks position . Farther we may say , that there is no such thing in nature as a perfect circle or a perfect square , neither can we make one by art ; and yet upon these figures there is founded a very ...
... space in the same way as a point marks position . Farther we may say , that there is no such thing in nature as a perfect circle or a perfect square , neither can we make one by art ; and yet upon these figures there is founded a very ...
Σελίδα 12
... space ; but nobody ever forgets Robinson Crusoe and his man Friday and the island ; and nobody that has read Scott's novels ever forgets the Baron of Braidwardine , or Meg Merrilies , or Balfour of Burley , or Jeanie Deans pleading for ...
... space ; but nobody ever forgets Robinson Crusoe and his man Friday and the island ; and nobody that has read Scott's novels ever forgets the Baron of Braidwardine , or Meg Merrilies , or Balfour of Burley , or Jeanie Deans pleading for ...
Σελίδα 27
... space . Geometry is thus a particular branch of that general science which Algebra comprises ; and though , so far as Geometry extends , both it and Algebra may be applied to the very same quantities , yet geometrical quantities are ...
... space . Geometry is thus a particular branch of that general science which Algebra comprises ; and though , so far as Geometry extends , both it and Algebra may be applied to the very same quantities , yet geometrical quantities are ...
Σελίδα 28
... space ; but it is not necessary that they should actually fill any portion of that space . Thus , the surface of the table is a geometrical quantity , and so is the length or the breadth of the table ; and these quan- tities are so ...
... space ; but it is not necessary that they should actually fill any portion of that space . Thus , the surface of the table is a geometrical quantity , and so is the length or the breadth of the table ; and these quan- tities are so ...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ... Robert Mudie Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles Algebra angular space answering apply bisects breadth called centre circle circumference co-efficients compound quantity consequently considered consists contain cube root decimal point denominator diameter difference direction divide dividend division divisor drawn equi-multiples Euclid's Elements evident exactly equal exponent expressed factors follows four fraction geometrical geometrical series greater hypotenuse inclination instance integer number interior angles kind least common multiple length less letters logarithm magnitude mathematical means measure meet metical multiplicand multiplier natural numbers necessary number of figures obtained operation opposite parallel parallelogram performed perpendicular plane position principle proportion quan quotient radius ratio reciprocal rectangle relation remaining right angles round a point salient angle scale of numbers second term segment sides simple solid space round square root stand straight line subtraction surface taken third tion triangle truth whole
Δημοφιλή αποσπάσματα
Σελίδα 396 - Upon a given straight line to describe a segment of a circle, which shall contain aa angle equal to a given rectilineal angle.
Σελίδα 473 - Prove it. 6.If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced together with the -square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Σελίδα 416 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 380 - If two angles of a triangle are equal, the sides opposite those angles are equal. AA . . A Given the triangle ABC, in which angle B equals angle C. To prove that AB = A C. Proof. 1. Construct the AA'B'C' congruent to A ABC, by making B'C' = BC, Zfi' = ZB, and Z C
Σελίδα 494 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Σελίδα 138 - Generalising this operation, we have the common rule for finding the greatest common measure of any two numbers : — divide the greater by the less, and the divisor by the remainder continually till nothing remains, and the last divisor is the greatest common measure.
Σελίδα 259 - Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides.
Σελίδα 489 - But let one of them BD pass through the centre, and cut the other AC, which does not pass through the centre, at right angles, in the...
Σελίδα 102 - COR. 1. Hence, because AD is the sum, and AC the difference of ' the lines AB and BC, four times the rectangle contained by any two lines, together with the square of their difference, is equal to the square ' of the sum of the lines." " COR. 2. From the demonstration it is manifest, that since the square ' of CD is quadruple of the square of CB, the square of any line is qua' druple of the square of half that line.