Dialogues on the First Principles of the Newtonian System, Band 4J. Parker, 1828 - 68 Seiten |
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Seite 23
... fraction of a part , of the rectangle ACBF . Now it is clear that the curvilinear figure ABC consists of some definite P part of the last mentioned rectangle ; and there- C 4 DIALOGUE III . 23 a number of equal parts; and from A, ...
... fraction of a part , of the rectangle ACBF . Now it is clear that the curvilinear figure ABC consists of some definite P part of the last mentioned rectangle ; and there- C 4 DIALOGUE III . 23 a number of equal parts; and from A, ...
Seite 24
... fraction of the curvilinear figure ABC . The difference then between the whole exterior and interior rectilinear figures ABC , and of course the difference between either of them and the curvilinear figure ABC , is also less than any as ...
... fraction of the curvilinear figure ABC . The difference then between the whole exterior and interior rectilinear figures ABC , and of course the difference between either of them and the curvilinear figure ABC , is also less than any as ...
Seite 48
... the velocities . Now you know that the quotient of one quantity divided by another is properly represented by a fraction ; the numerator , or quantity above the or VV R R line , being the dividend , DIALOGUE VII. ...
... the velocities . Now you know that the quotient of one quantity divided by another is properly represented by a fraction ; the numerator , or quantity above the or VV R R line , being the dividend , DIALOGUE VII. ...
Seite 49
... fraction ; and the variable quantity to which we have found the centripetal force to be propor- tionate , by the fraction V times V divided by R Now it is evident from the nature of a fraction , that if you would multiply it by any ...
... fraction ; and the variable quantity to which we have found the centripetal force to be propor- tionate , by the fraction V times V divided by R Now it is evident from the nature of a fraction , that if you would multiply it by any ...
Seite 50
... fraction repre- becomes con- sents ; and thus the fraction R RVV RR verted into ; and the force is found to vary as TT the radius divided by the square of the periodical time . A. This is the most complicated of your de monstrations ; I ...
... fraction repre- becomes con- sents ; and thus the fraction R RVV RR verted into ; and the force is found to vary as TT the radius divided by the square of the periodical time . A. This is the most complicated of your de monstrations ; I ...
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Dialogues on the First Principles of the Newtonian System Walter Henry Burton Keine Leseprobe verfügbar - 2009 |
Häufige Begriffe und Wortgruppen
altitude angle ABC angle ACB angle MPH arithmetical progression ascertain attraction bisect centre of gravity centripetal force circle circumference common centre curve curvilinear figure ABC definite diagonal DIALOGUE diameter difference direction divided drawn parallel ellipses equal bases exterior angle fixed point fraction greater hypothenuse indefinitely small portion instance law of motion line BD line be drawn line drawn magnitude monstration moon move multiplying number of equal number of longitudinal number of terms observed orbit parallel lines parallelogram pass perpendicular planets produced Prop proportional proportionate proposition prove quantities of matter quotient radii radius rallel ratio rectangle CD rection represented respectively equal right angles round the earth SBD is equal single impulse space square described square of CD square root straight line sun's supposed supposition thing three angles three sides tion triangle ABC uniform velocity wind XXIII
Beliebte Passagen
Seite 2 - Certainly, it is heaven upon earth, to have a man's mind move in charity, rest in providence, and turn upon the poles of truth.
Seite 2 - If two triangles have two sides of the one equal to two sides of the...
Seite 19 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Seite 37 - IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Seite 2 - Euclid's, and show by construction that its truth was known to us ; to demonstrate, for example, that the angles at the base of an isosceles triangle are equal...
Seite 10 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Seite 51 - Multiply one half the sum of the first and last terms by the number of terms. Thus, the sum of eight terms of the series whose first term is 3 and last term 38 is 8 x * (3 + 38) = 164.
Seite 19 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Seite 38 - Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional.
Seite 6 - Then, because the three angles of every triangle are together equal to two right angles, [I.