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 ix
... measure , and the balance wherein to weigh , but that it is the wedge to cleave asunder what- ever is too gnarly and stubborn , and the lever to heave aside whatever is too weighty for the other apparatus of thinking and executing ...
... measure , and the balance wherein to weigh , but that it is the wedge to cleave asunder what- ever is too gnarly and stubborn , and the lever to heave aside whatever is too weighty for the other apparatus of thinking and executing ...
Σελίδα xiv
... MEASURES , AND OF NUMBER3 • Prime Numbers and Factors THE MULTIPLES 129 132 SECTION VIII . 147 SOME PROPERTIES OF DECIMALS SECTION IX . 171 PRELIMINARY NOTIONS OF GEOMETRY SECTION X. GEOMETRICAL QUANTITIES , METHODS OF EXPRESSION , AND ...
... MEASURES , AND OF NUMBER3 • Prime Numbers and Factors THE MULTIPLES 129 132 SECTION VIII . 147 SOME PROPERTIES OF DECIMALS SECTION IX . 171 PRELIMINARY NOTIONS OF GEOMETRY SECTION X. GEOMETRICAL QUANTITIES , METHODS OF EXPRESSION , AND ...
Σελίδα 5
... measuring his labour by the day , and his pleasure by the smallness of the quantity of the day's labour . Upon young minds especially this has a most baneful influence ; as it not only destroys the possibility of progress in mathematics ...
... measuring his labour by the day , and his pleasure by the smallness of the quantity of the day's labour . Upon young minds especially this has a most baneful influence ; as it not only destroys the possibility of progress in mathematics ...
Σελίδα 10
... measuring . So also a mathematical line has neither breadth nor thickness , and therefore has no more real existence than a point has , but merely marks direc- tion and distance in space in the same way as a point marks position ...
... measuring . So also a mathematical line has neither breadth nor thickness , and therefore has no more real existence than a point has , but merely marks direc- tion and distance in space in the same way as a point marks position ...
Σελίδα 14
... measured by time , but by pro- ductive power ; and that the enjoyment of labour is never so sweet and so satisfactory as when we feel that we have earned it by doing our duty to ourselves and our country in the most perfect and ...
... measured by time , but by pro- ductive power ; and that the enjoyment of labour is never so sweet and so satisfactory as when we feel that we have earned it by doing our duty to ourselves and our country in the most perfect and ...
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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.