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 20
... four miles of a road , and it were asked whe- ther these were of equal length , or which were the longer , no answer could be given , and the quantities are clearly not of the same kind . If , however , we referred the hour and the four ...
... four miles of a road , and it were asked whe- ther these were of equal length , or which were the longer , no answer could be given , and the quantities are clearly not of the same kind . If , however , we referred the hour and the four ...
Σελίδα 21
... four miles an hour , the hour of time and the four miles of road would be of exactly the same length ; to a coach running twelve miles an hour , the hour would be three times as long as the four miles of road ; and to a pig getting on ...
... four miles an hour , the hour of time and the four miles of road would be of exactly the same length ; to a coach running twelve miles an hour , the hour would be three times as long as the four miles of road ; and to a pig getting on ...
Σελίδα 31
... four hundred volumes of about the same size and style of printing as the present one ; and therefore , to have made any use of the number , or even to have formed any guess respecting its nature or amount , would have been wholly out of ...
... four hundred volumes of about the same size and style of printing as the present one ; and therefore , to have made any use of the number , or even to have formed any guess respecting its nature or amount , would have been wholly out of ...
Σελίδα 39
... four hundred and fifty - six thousand , three hun- dred and twenty - one ; its exponent is , because there are eight figures besides the units . There are nine divisions by 10 in the succeeding lines , and therefore the exponent of the ...
... four hundred and fifty - six thousand , three hun- dred and twenty - one ; its exponent is , because there are eight figures besides the units . There are nine divisions by 10 in the succeeding lines , and therefore the exponent of the ...
Σελίδα 44
... four general pro- blems , or kinds of results . The first is to find the sum of two or more numbers , and that is nothing more than finding one number which shall contain the number 1 , the standard by which we measure all simple ...
... four general pro- blems , or kinds of results . The first is to find the sum of two or more numbers , and that is nothing more than finding one number which shall contain the number 1 , the standard by which we measure all simple ...
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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.