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 vi
... notions on the subjects , and on the mode of conveying information respecting them , were originally my own . A disciple of no school , and a fol- lower of no master , I had no mannerism of others to come between me and the truth : and ...
... notions on the subjects , and on the mode of conveying information respecting them , were originally my own . A disciple of no school , and a fol- lower of no master , I had no mannerism of others to come between me and the truth : and ...
Σελίδα ix
... notions from those nominal mathematicians , who idle with the disjointed bones of the science in the absence of the life , are apt to suppose , and sometimes to say , that mathematical science has a tendency to curb the fancy , and ...
... notions from those nominal mathematicians , who idle with the disjointed bones of the science in the absence of the life , are apt to suppose , and sometimes to say , that mathematical science has a tendency to curb the fancy , and ...
Σελίδα xiv
... NOTIONS OF GEOMETRY SECTION X. GEOMETRICAL QUANTITIES , METHODS OF EXPRESSION , AND DEFINITIONS 1. Of Lines • 2. Of Surfaces or Figures 3. Of Angles . 191 192 196 201 SECTION XI . 207 PRINCIPLES OF GEOMETRICAL INVESTIGATION SECTION XII ...
... NOTIONS OF GEOMETRY SECTION X. GEOMETRICAL QUANTITIES , METHODS OF EXPRESSION , AND DEFINITIONS 1. Of Lines • 2. Of Surfaces or Figures 3. Of Angles . 191 192 196 201 SECTION XI . 207 PRINCIPLES OF GEOMETRICAL INVESTIGATION SECTION XII ...
Σελίδα 6
... notion that there is some sort of proof ; and as the discovery of a falsehood is a truth , though the falsehood itself is not , every useful thesis may be considered as the state- ment of a truth ; and the truth which amounts to a ...
... notion that there is some sort of proof ; and as the discovery of a falsehood is a truth , though the falsehood itself is not , every useful thesis may be considered as the state- ment of a truth ; and the truth which amounts to a ...
Σελίδα 9
... example , a mathematical point , the mark of position in space , has no magnitude , that is , occupies no space , and therefore it can have no real existence ; 10 NOTION OF MATHEMATICS . and yet it is one PROOF BY REASONING . 9.
... example , a mathematical point , the mark of position in space , has no magnitude , that is , occupies no space , and therefore it can have no real existence ; 10 NOTION OF MATHEMATICS . and yet it is one PROOF BY REASONING . 9.
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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.