Dialogues on the First Principles of the Newtonian System, Τόμος 4J. Parker, 1828 - 68 σελίδες |
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Αποτελέσματα 1 - 5 από τα 13.
Σελίδα 4
... supposition to be false . A. This cannot be denied . What is your next proposition ? B. That if all the three sides of a triangle be respectively equal to the three sides of another triangle , the two triangles are identical ; or , in ...
... supposition to be false . A. This cannot be denied . What is your next proposition ? B. That if all the three sides of a triangle be respectively equal to the three sides of another triangle , the two triangles are identical ; or , in ...
Σελίδα 5
... supposition also . Produce BD till it meets AC in G. Now , unless you are prepared to say that the straight road is not the shortest between two points , BA and AG are together greater than BG ; and BG , GC , are also greater than BD ...
... supposition also . Produce BD till it meets AC in G. Now , unless you are prepared to say that the straight road is not the shortest between two points , BA and AG are together greater than BG ; and BG , GC , are also greater than BD ...
Σελίδα 7
... supposing AD to be made equal to AB , and join- ing B , D by a straight line , the angles ABD , ADB , are equal : but ADB , considered as an angle formed by producing CD , is greater than the single remote interior angle C ; whence ABC ...
... supposing AD to be made equal to AB , and join- ing B , D by a straight line , the angles ABD , ADB , are equal : but ADB , considered as an angle formed by producing CD , is greater than the single remote interior angle C ; whence ABC ...
Σελίδα 8
... suppositions ( by Prop . II . or by the former part of this proposition ) a consequence contrary to the main hypothesis must ensue . A. This is as much as I can carry away at pre- sent . You have suggested several things to me which ...
... suppositions ( by Prop . II . or by the former part of this proposition ) a consequence contrary to the main hypothesis must ensue . A. This is as much as I can carry away at pre- sent . You have suggested several things to me which ...
Σελίδα 21
... supposing the operation to be repeated , we shall have a series of equal tri- angles formed in the same way , and all terminat- ing in the point S. Prop . XV . A. A. But this does not C 3 DIALOGUE III . 21 portions of the curve which ...
... supposing the operation to be repeated , we shall have a series of equal tri- angles formed in the same way , and all terminat- ing in the point S. Prop . XV . A. A. But this does not C 3 DIALOGUE III . 21 portions of the curve which ...
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Dialogues on the First Principles of the Newtonian System Walter Henry Burton Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2009 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 2 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 19 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Σελίδα 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.
Σελίδα 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...
Σελίδα 10 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Σελίδα 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.
Σελίδα 19 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Σελίδα 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.
Σελίδα 6 - Then, because the three angles of every triangle are together equal to two right angles, [I.