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 vii
... taken together , can supply . In saying this I do not mean that there are many new truths in the volume , or that there is one known truth stated more clearly than it is to be met with elsewhere . But considering the vast number of such ...
... taken together , can supply . In saying this I do not mean that there are many new truths in the volume , or that there is one known truth stated more clearly than it is to be met with elsewhere . But considering the vast number of such ...
Σελίδα 7
... 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 which we have the evidence of the senses ; 8 ...
... 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 which we have the evidence of the senses ; 8 ...
Σελίδα 15
... taken in the general sense , are not mathematical , yet that keen scrutiny into the truth or the falsehood of everything which a mathematical habit produces , is of great use in estimating the worth both of observation and of that which ...
... taken in the general sense , are not mathematical , yet that keen scrutiny into the truth or the falsehood of everything which a mathematical habit produces , is of great use in estimating the worth both of observation and of that which ...
Σελίδα 32
... taken together would have exactly the same value as the expression from which they were all derived . Thus : - 100000000 , 10000000 , 1000000 , 100000 , 10000 , 1000 , 100 , 10 , 1 . This is what we may term the system or series of the ...
... taken together would have exactly the same value as the expression from which they were all derived . Thus : - 100000000 , 10000000 , 1000000 , 100000 , 10000 , 1000 , 100 , 10 , 1 . This is what we may term the system or series of the ...
Σελίδα 34
... taken upward , and one - tenth as taken downward , between term and term ; and this is what is called the complete DECIMAL SCALE of Num- bers , or of Arithmetic , from the Latin , decem , ten . An intimate acquaintance with this scale ...
... taken upward , and one - tenth as taken downward , between term and term ; and this is what is called the complete DECIMAL SCALE of Num- bers , or of Arithmetic , from the Latin , decem , ten . An intimate acquaintance with this scale ...
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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.