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 194
... radius , or ray of the circle ; and it is evident , from the manner in which the circle is described , that the magni- tude or size of the circle depends upon the length of the radius . DESCRIBING A CIRCLE . 195 It follows from this ,
... radius , or ray of the circle ; and it is evident , from the manner in which the circle is described , that the magni- tude or size of the circle depends upon the length of the radius . DESCRIBING A CIRCLE . 195 It follows from this ,
Σελίδα 195
... radius is double , the circumference must be double ; if the radius is three times , the circumference must be three times , and so on in all other proportions . In practice , circles of small dimensions are usually drawn with an ...
... radius is double , the circumference must be double ; if the radius is three times , the circumference must be three times , and so on in all other proportions . In practice , circles of small dimensions are usually drawn with an ...
Σελίδα 196
... radius of the imagined circle , and the circle itself will be more correct than any which we could actually describe by means of any instrument ; but , in practice , no power of man could describe a circle of even a single mile in radius ...
... radius of the imagined circle , and the circle itself will be more correct than any which we could actually describe by means of any instrument ; but , in practice , no power of man could describe a circle of even a single mile in radius ...
Σελίδα 197
... radius , and as the radius is the same in all parts of the same circle , it follows that the diameter is always of the same length in the same circle , in what direction soever . Thus , in the following circle A D BE , of which c is the ...
... radius , and as the radius is the same in all parts of the same circle , it follows that the diameter is always of the same length in the same circle , in what direction soever . Thus , in the following circle A D BE , of which c is the ...
Σελίδα 199
... radius , are always , both together , equal to the diameter : and that , while a sector always extends to the centre of the circle of which it is a sector , a segment never does . A segment , too , is never more than a two - sided ...
... radius , are always , both together , equal to the diameter : and that , while a sector always extends to the centre of the circle of which it is a sector , a segment never does . A segment , too , is never more than a two - sided ...
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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.