Dialogues on the First Principles of the Newtonian System, Τόμος 4J. Parker, 1828 - 68 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 6.
Σελίδα 3
... applied to each other , that two sides of the one would coincide in position with two sides of the other ; and these , by the hypothesis , being respectively equal , would also coincide in length ; and then the two third sides , or ...
... applied to each other , that two sides of the one would coincide in position with two sides of the other ; and these , by the hypothesis , being respectively equal , would also coincide in length ; and then the two third sides , or ...
Σελίδα 4
... be equal to DE , AC to DF , and BC to EF ; the two triangles , if properly applied to each other , will coincide . A. Clearly they must ; for BC , being equal and similarly situated to EF , makes the angle A 4 DIALOGUE I.
... be equal to DE , AC to DF , and BC to EF ; the two triangles , if properly applied to each other , will coincide . A. Clearly they must ; for BC , being equal and similarly situated to EF , makes the angle A 4 DIALOGUE I.
Σελίδα 9
... applied to the point C of the other triangle , and the point C of the first to the point B of the second ; and that D is moved towards A. Will not D coincide with A ? 1. I see that it must . For , on account of the equality of the ...
... applied to the point C of the other triangle , and the point C of the first to the point B of the second ; and that D is moved towards A. Will not D coincide with A ? 1. I see that it must . For , on account of the equality of the ...
Σελίδα 14
... applied ; and that if the body had been at rest at A , the new force would have sent it in a second to C. In the first place it is clear that , through the combination of forces , the body will neither remain in A nor move in either of ...
... applied ; and that if the body had been at rest at A , the new force would have sent it in a second to C. In the first place it is clear that , through the combination of forces , the body will neither remain in A nor move in either of ...
Σελίδα 20
... applied to each other , that their equal angles at A shall coincide , and their corresponding sides have the same position , it is manifest that their bases , BC , DE , will be parallel ; and therefore the tri- angles , BDC , BEC , will ...
... applied to each other , that their equal angles at A shall coincide , and their corresponding sides have the same position , it is manifest that their bases , BC , DE , will be parallel ; and therefore the tri- angles , BDC , BEC , will ...
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.