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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Αποτελέσματα 1 - 5 από τα 67.
Σελίδα 5
... once , and without any preliminary ex- planation of the use , or even the general nature of what he is called upon to do . The consequence is , that there is no goal before him , nothing to keep alive his hope , or rouse his mental ...
... once , and without any preliminary ex- planation of the use , or even the general nature of what he is called upon to do . The consequence is , that there is no goal before him , nothing to keep alive his hope , or rouse his mental ...
Σελίδα 10
... once fully descrip- tive of the subject and useful to the reader ; and it is upon the whole to be doubted whether short technical definitions of very general subjects are not as often productive of harm as of ad- vantage . When we have ...
... once fully descrip- tive of the subject and useful to the reader ; and it is upon the whole to be doubted whether short technical definitions of very general subjects are not as often productive of harm as of ad- vantage . When we have ...
Σελίδα 13
... once to our own minds , without any of that laborious examination in detail which objects of the senses require , that the knowledge is both so powerful and so per- manent . In the real object we can see but one side at a time ; and the ...
... once to our own minds , without any of that laborious examination in detail which objects of the senses require , that the knowledge is both so powerful and so per- manent . In the real object we can see but one side at a time ; and the ...
Σελίδα 33
... once the simplest and the best which we can use for this purpose ; and we apply other names expressive of the other places , or terms , of the scale , as measured by the number 1. Thus , 10 is ten , 100 is one hun- dred , 1000 is one ...
... once the simplest and the best which we can use for this purpose ; and we apply other names expressive of the other places , or terms , of the scale , as measured by the number 1. Thus , 10 is ten , 100 is one hun- dred , 1000 is one ...
Σελίδα 36
... once multiplied by 10 ; the third , 102 , twice multiplied by 10 ; and so of the others . If we take them from right to left , we find that the exponents increase by the constant addition of 1 ; and if we take them from left to right ...
... once multiplied by 10 ; the third , 102 , twice multiplied by 10 ; and so of the others . If we take them from right to left , we find that the exponents increase by the constant addition of 1 ; and if we take them from left to right ...
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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.