Dialogues on the First Principles of the Newtonian System, Band 4J. Parker, 1828 - 68 Seiten |
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Seite 9
... parallelogram is called a rectangle . And a rectangle which has all its sides equal , you well know , is a square . The first thing to be shewn here is , that in every parallelogram the opposite sides are equal , and also the opposite ...
... parallelogram is called a rectangle . And a rectangle which has all its sides equal , you well know , is a square . The first thing to be shewn here is , that in every parallelogram the opposite sides are equal , and also the opposite ...
Seite 10
... parallelogram serves for the side of another ; for each is double of the triangle ABC . B. Yes : The demonstration of the two other cases is a little more complicated . In both you must first prove the triangle DEF to be equal to the ...
... parallelogram serves for the side of another ; for each is double of the triangle ABC . B. Yes : The demonstration of the two other cases is a little more complicated . In both you must first prove the triangle DEF to be equal to the ...
Seite 14
... parallelogram ; of which one side will be the line which the body would have described in the same time without any new impulse , and another side will be the line which it would have described in the same time , from a state of rest ...
... parallelogram ; of which one side will be the line which the body would have described in the same time without any new impulse , and another side will be the line which it would have described in the same time , from a state of rest ...
Seite 26
... parallelogram , of which BD is the diagonal , and CD the opposite side : BS therefore and BE coincide in position ; that is , the disturbing force is directed to the point S. And the same thing may be proved in every successive triangle ...
... parallelogram , of which BD is the diagonal , and CD the opposite side : BS therefore and BE coincide in position ; that is , the disturbing force is directed to the point S. And the same thing may be proved in every successive triangle ...
Andere Ausgaben - Alle anzeigen
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.