Dialogues on the First Principles of the Newtonian System, Τόμος 4J. Parker, 1828 - 68 σελίδες |
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Αποτελέσματα 1 - 5 από τα 12.
Σελίδα 2
... less tedious path to the point where their own original dis- coveries begin ? B. Euclid may be a little too formal ; but there is still no royal road that I know of . A. Could not you however afford me a few hints , which I might ...
... less tedious path to the point where their own original dis- coveries begin ? B. Euclid may be a little too formal ; but there is still no royal road that I know of . A. Could not you however afford me a few hints , which I might ...
Σελίδα 5
... less than BAD , cannot be equal to CDA , which is greater than BDA ; but if CAD be not equal to CDA , CA can- not be equal to CD ; and therefore the hypothesis is impossible . A. But how would it be , if the point D fell within the ...
... less than BAD , cannot be equal to CDA , which is greater than BDA ; but if CAD be not equal to CDA , CA can- not be equal to CD ; and therefore the hypothesis is impossible . A. But how would it be , if the point D fell within the ...
Σελίδα 8
... less ; from either of 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 ...
... less ; from either of 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 ...
Σελίδα 23
... less than any assignable part , or frac- tion of a part , of AC ; and the rectangle BCDE less than any assignable part , or fraction of a part , of the rectangle ACBF . Now it is clear that the curvilinear figure ABC consists of some ...
... less than any assignable part , or frac- tion of a part , of AC ; and the rectangle BCDE less than any assignable part , or fraction of a part , of the rectangle ACBF . Now it is clear that the curvilinear figure ABC consists of some ...
Σελίδα 24
... less than any as- signable 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 ...
... less than any as- signable 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 ...
Άλλες εκδόσεις - Προβολή όλων
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.