Dialogues on the First Principles of the Newtonian System, Band 4J. Parker, 1828 - 68 Seiten |
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Seite 3
... 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 bases , could not choose but coincide also . This is clear ...
... 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 bases , could not choose but coincide also . This is clear ...
Seite 4
... Thus , let AB 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.
... Thus , let AB 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.
Seite 9
... coincide with A ? 1. I see that it must . For , on account of the equality of the angles which are thus brought to- gether at each extremity of CB , BA will coincide Prop . VIII . 1 Prop . IX . in position with CD , and DIALOGUE II. ...
... coincide with A ? 1. I see that it must . For , on account of the equality of the angles which are thus brought to- gether at each extremity of CB , BA will coincide Prop . VIII . 1 Prop . IX . in position with CD , and DIALOGUE II. ...
Seite 10
... coincide . B. The next proposition is very important , and the truth of it is not obvious at first sight . Parallelograms on the same base , and between the same parallels , are equal . A. I perceive that it is so in your first figure ...
... coincide . B. The next proposition is very important , and the truth of it is not obvious at first sight . Parallelograms on the same base , and between the same parallels , are equal . A. I perceive that it is so in your first figure ...
Seite 19
... coincide . B. And on the other hand , equal triangles Prop . XII . upon the same base ( or upon equal bases in the same straight line ) and upon the same side of it , are between the same parallels . For if the straight line which joins ...
... coincide . B. And on the other hand , equal triangles Prop . XII . upon the same base ( or upon equal bases in the same straight line ) and upon the same side of it , are between the same parallels . For if the straight line which joins ...
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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.