Dialogues on the First Principles of the Newtonian System, Band 4J. Parker, 1828 - 68 Seiten |
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Seite 6
... A , the vertex of the tri- angle ABC , suppose DE to be drawn parallel to the base BC , then the alternate angles DAB , ABC , are equal to each other , and also the alter- nate angles EAC , ACB ; and therefore the three 6 DIALOGUE I.
... A , the vertex of the tri- angle ABC , suppose DE to be drawn parallel to the base BC , then the alternate angles DAB , ABC , are equal to each other , and also the alter- nate angles EAC , ACB ; and therefore the three 6 DIALOGUE I.
Seite 7
... drawing CG parallel to BA ; whence it also becomes evident that the exterior angle ACF , which is formed by producing BC , is equal to both the remote interior angles of the triangle ( at A and B ) taken together . And from this you may ...
... drawing CG parallel to BA ; whence it also becomes evident that the exterior angle ACF , which is formed by producing BC , is equal to both the remote interior angles of the triangle ( at A and B ) taken together . And from this you may ...
Seite 9
... drawn from one angle to the opposite one ( which line we call the diagonal , or diameter ) di- vides the figure into two equal parts . Thus , be- cause AB , CD are parallel , the angles ABC , BCD are equal ; and because AC , BD are ...
... drawn from one angle to the opposite one ( which line we call the diagonal , or diameter ) di- vides the figure into two equal parts . Thus , be- cause AB , CD are parallel , the angles ABC , BCD are equal ; and because AC , BD are ...
Seite 14
... draw from the points B and C to D ( the assumed termination of the line AD ) the straight lines BD , CD ; and if I can ascertain the . positions of those lines , I shall have determined the place of the point D ; which is all that can ...
... draw from the points B and C to D ( the assumed termination of the line AD ) the straight lines BD , CD ; and if I can ascertain the . positions of those lines , I shall have determined the place of the point D ; which is all that can ...
Seite 19
... drawn from either vertex which shall be pa- rallel to the base ; and then it may be shewn that one of the triangles is greater than the other . A. This follows from Prop . XI . B. And another inference from the same pro- Prop . XIII ...
... drawn from either vertex which shall be pa- rallel to the base ; and then it may be shewn that one of the triangles is greater than the other . A. This follows from Prop . XI . B. And another inference from the same pro- Prop . XIII ...
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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.