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 xiii
... DIVISIONS OF MATHEMATICS 17 SECTION III . ARITHMETICAL NOTATION , AND SCALE AND DISTINCTIONS OF NUMBERS 30 SECTION IV . COMMON OPERATIONS IN ARITHMETIC SECTION V. 42 GENERAL OR ALGEBRAICAL EXPRESSION OF QUANTITIES Algebraical Notation ...
... DIVISIONS OF MATHEMATICS 17 SECTION III . ARITHMETICAL NOTATION , AND SCALE AND DISTINCTIONS OF NUMBERS 30 SECTION IV . COMMON OPERATIONS IN ARITHMETIC SECTION V. 42 GENERAL OR ALGEBRAICAL EXPRESSION OF QUANTITIES Algebraical Notation ...
Σελίδα 7
... divisions of proof . The simplest view which can be taken of this subject is that which divides the whole into three great classes - observation , testi- mony , and proof by reasoning . Observation is only another . name for that of ...
... divisions of proof . The simplest view which can be taken of this subject is that which divides the whole into three great classes - observation , testi- mony , and proof by reasoning . Observation is only another . name for that of ...
Σελίδα 16
... only our language , but the language of all nations who will give themselves the trouble of learning that which every child learns first , namely , an alphabet . SECTION II . SUBJECTS , OBJECTS , AND PRINCIPAL DIVISIONS.
... only our language , but the language of all nations who will give themselves the trouble of learning that which every child learns first , namely , an alphabet . SECTION II . SUBJECTS , OBJECTS , AND PRINCIPAL DIVISIONS.
Σελίδα 17
... DIVISIONS OF MATHE- MATICS . QUANTITY is the subject of all mathematical investigations and proceedings , whether theoretical or practical , that is , whether relating to the discovery of general principles and relations , or to the ...
... DIVISIONS OF MATHE- MATICS . QUANTITY is the subject of all mathematical investigations and proceedings , whether theoretical or practical , that is , whether relating to the discovery of general principles and relations , or to the ...
Σελίδα 28
... DIVISIONS OF MATHEMATICS . and existence , and to those which have not . Thus , for instance , the globe of the earth , considered as a piece of matter of a cer- tain form and magnitude , is not only a geometrical quantity , but the ...
... DIVISIONS OF MATHEMATICS . and existence , and to those which have not . Thus , for instance , the globe of the earth , considered as a piece of matter of a cer- tain form and magnitude , is not only a geometrical quantity , but the ...
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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 answering apply bisects called centre circle circumference co-efficients compound quantity consequently considered contain cube root denominator diameter difference direction divide dividend division divisor doctrine drawn equi-multiples Euclid's Elements evident exactly equal exponent expressed factors follows four fraction geometrical given greater hypotenuse inclination instance integer number interior angles kind least common multiple less letters line CD logarithm magnitude mathematical means measure meet metical multiplicand multiplier natural numbers necessary number of figures obtained operation opposite parallel parallelogram performed perpendicular plane portion position principle proportion quotient radius ratio re-entering angle reciprocal rectangle relation remaining right angles round a point RULE OF THREE salient angle scale of numbers second term segment side simple solid square root stand straight line subtraction surface taken third tion triangle truth whole
Δημοφιλή αποσπάσματα
Σελίδα 376 - Upon a given straight line to describe a segment of a circle, which shall contain aa angle equal to a given rectilineal angle.
Σελίδα 453 - 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 396 - 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 360 - 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 100 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Σελίδα 474 - 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 136 - 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 243 - Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides.
Σελίδα 469 - 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 100 - 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.