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 3
... understanding , without reference to the rest . Or it may be that we possess no mathematicians but such as are profes- sionally so ; and thus , however able they may be in a profes- sional point of view , they can treat the subject only ...
... understanding , without reference to the rest . Or it may be that we possess no mathematicians but such as are profes- sionally so ; and thus , however able they may be in a profes- sional point of view , they can treat the subject only ...
Σελίδα 4
... understands the principles of mathe- matics , and can apply those principles to the finding of results , and one who must get at the results the best way that he can , without any knowledge of the principles , is , that the first pro ...
... understands the principles of mathe- matics , and can apply those principles to the finding of results , and one who must get at the results the best way that he can , without any knowledge of the principles , is , that the first pro ...
Σελίδα 6
... neither would it be a thesis to say " The sun shines , " to one whom we met in the fields at noon on a cloudless day . In both these cases the party whom we addressed would understand the fact just as well as ourselves.
... neither would it be a thesis to say " The sun shines , " to one whom we met in the fields at noon on a cloudless day . In both these cases the party whom we addressed would understand the fact just as well as ourselves.
Σελίδα 7
... understand the fact just as well as ourselves , and therefore our observation would be an idle waste of words . But if we were to say " The apparent motion of the sun west- ward is owing to the real rotation of the earth eastward , ” it ...
... understand the fact just as well as ourselves , and therefore our observation would be an idle waste of words . But if we were to say " The apparent motion of the sun west- ward is owing to the real rotation of the earth eastward , ” it ...
Σελίδα 10
... understands , or that ever shall understand them , can by possibility resist , and that thus they can occasion no doubting , and lead to no disputes , we have per- haps said as much as can be said in the way of general defini- tion ...
... understands , or that ever shall understand them , can by possibility resist , and that thus they can occasion no doubting , and lead to no disputes , we have per- haps said as much as can be said in the way of general defini- tion ...
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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.