Dialogues on the First Principles of the Newtonian System, Τόμος 4J. Parker, 1828 - 68 σελίδες |
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Αποτελέσματα 1 - 5 από τα 7.
Σελίδα 4
... greater , as AC . Suppose then that DC is equal to AB , and join the points D and B by a straight line . Now , the angle ACB being equal to the angle ABC , and DC , CB respectively equal to AB , BC , we shall have the triangle DCB equal ...
... greater , as AC . Suppose then that DC is equal to AB , and join the points D and B by a straight line . Now , the angle ACB being equal to the angle ABC , and DC , CB respectively equal to AB , BC , we shall have the triangle DCB equal ...
Σελίδα 5
... greater than BG ; and BG , GC , are also greater than BD , DC , since DG , GC , are together greater than DC . We have therefore BA , AC , together greater than BD , DC ; which contradicts the hypothesis . And now it is time that I ...
... greater than BG ; and BG , GC , are also greater than BD , DC , since DG , GC , are together greater than DC . We have therefore BA , AC , together greater than BD , DC ; which contradicts the hypothesis . And now it is time that I ...
Σελίδα 7
... greater than the angle opposite the se- cond . Thus , let AC be greater than AB ; the angle B is also greater than the angle C. For supposing AD to be made equal to AB , and join- ing B , D by a straight line , the angles ABD , ADB ...
... greater than the angle opposite the se- cond . Thus , let AC be greater than AB ; the angle B is also greater than the angle C. For supposing AD to be made equal to AB , and join- ing B , D by a straight line , the angles ABD , ADB ...
Σελίδα 8
Walter Henry Burton. And conversely , if the angle be greater , the op- posite side is greater . For if not , it is either equal to the other side , or less ; from either of which suppositions ( by Prop . II . or by the former part of ...
Walter Henry Burton. And conversely , if the angle be greater , the op- posite side is greater . For if not , it is either equal to the other side , or less ; from either of which suppositions ( by Prop . II . or by the former part of ...
Σελίδα 19
... greater than the other . A. This follows from Prop . XI . B. And another inference from the same pro- Prop . XIII . position is , That triangles between the same pa- rallels are to one another in the ratio of their bases . For into ...
... greater than the other . A. This follows from Prop . XI . B. And another inference from the same pro- Prop . XIII . position is , That triangles between the same pa- rallels are to one another in the ratio of their bases . For into ...
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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.