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 7
... simple observation of the sun , but quite the reverse ; and therefore , to a person ignorant of the motions of the earth , we would require to bring forward proofs before we could call upon him to believe it . Thus we may consider every ...
... simple observation of the sun , but quite the reverse ; and therefore , to a person ignorant of the motions of the earth , we would require to bring forward proofs before we could call upon him to believe it . Thus we may consider every ...
Σελίδα 19
... simple as they are , there is an element wanting ; for when we put the question , " How much money is in the purse ? " another question immediately rises to the mind , and demands an answer before the first one : " What kind of money ...
... simple as they are , there is an element wanting ; for when we put the question , " How much money is in the purse ? " another question immediately rises to the mind , and demands an answer before the first one : " What kind of money ...
Σελίδα 22
... simple when viewed in this light , it is , in a practical point of view , one of the most important principles in the whole range of mathematical science . We must readily admit this , when we consider that we can obtain no knowledge of ...
... simple when viewed in this light , it is , in a practical point of view , one of the most important principles in the whole range of mathematical science . We must readily admit this , when we consider that we can obtain no knowledge of ...
Σελίδα 33
... simple , and not , in our common notion of it , in any way made up of parts ; and from this , the right hand figure of every number may be called the unit's place , and is the beginning , or rather , as we shall see afterwards , D 34 ...
... simple , and not , in our common notion of it , in any way made up of parts ; and from this , the right hand figure of every number may be called the unit's place , and is the beginning , or rather , as we shall see afterwards , D 34 ...
Σελίδα 38
... simple case would be to lay out the goods in single pounds in a row , place one shilling , one penny , and one farthing against every single pound , and then count the money thus placed . Decimal numbers , or , as they are shortly named ...
... simple case would be to lay out the goods in single pounds in a row , place one shilling , one penny , and one farthing against every single pound , and then count the money thus placed . Decimal numbers , or , as they are shortly named ...
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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.