The Doctrine of Proportion Clearly Developed: On a Comprehensive, Original, and Very Easy System; Or, The Fifth Book of Euclid SimplifiedJ. Williams, 1841 - 98 sider |
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Side xi
... such attempt should not be entertained , for it is not so very difficult to define what is intended to be ex- pressed by the term ratio . It is a different thing to have a clear conception of what the technical term " ratio " is meant to ...
... such attempt should not be entertained , for it is not so very difficult to define what is intended to be ex- pressed by the term ratio . It is a different thing to have a clear conception of what the technical term " ratio " is meant to ...
Side xii
... defined , and not , as some writers would have it , an " ill - defined , or unknown term . " No ; it is a term so interwoven through almost every part of mathematics , that to expunge it would be almost impossible ; nor xii.
... defined , and not , as some writers would have it , an " ill - defined , or unknown term . " No ; it is a term so interwoven through almost every part of mathematics , that to expunge it would be almost impossible ; nor xii.
Side xvii
... definition , which has ever been a stumbling - block to students commencing the fifth book , and a source of much controversy and dispute among mathematicians , both in ancient and modern times . In this however we have adopted some ...
... definition , which has ever been a stumbling - block to students commencing the fifth book , and a source of much controversy and dispute among mathematicians , both in ancient and modern times . In this however we have adopted some ...
Side xviii
... definition essentially different could have been given equally applicable and general ; and it is very pro- bable that even those definitions , which since the time of Euclid have been proposed as substitutes for the fifth , presented ...
... definition essentially different could have been given equally applicable and general ; and it is very pro- bable that even those definitions , which since the time of Euclid have been proposed as substitutes for the fifth , presented ...
Side xix
... remains for the impartial scientific public to decide , on whose judgment alone depends its approval or condemnation . COLLEGE FOR CIVIL ENGINEERS , Putney , 19 November , 1840 . BOOK V. DEFINITIONS . I. A LESS magnitude is said xix.
... remains for the impartial scientific public to decide , on whose judgment alone depends its approval or condemnation . COLLEGE FOR CIVIL ENGINEERS , Putney , 19 November , 1840 . BOOK V. DEFINITIONS . I. A LESS magnitude is said xix.
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The Doctrine of Proportion Clearly Developed: On a Comprehensive, Original ... Oliver Byrne Uten tilgangsbegrensning - 1841 |
The Doctrine of Proportion Clearly Developed: On a Comprehensive, Original ... Oliver Byrne Uten tilgangsbegrensning - 1841 |
The Doctrine of Proportion Clearly Developed: On a Comprehensive, Original ... Oliver Byrne Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
2nd edition 6d Reports Algebraical Exposition antecedent ar³ Arches Architect Arithmetical Illustration BILL OF QUANTITIES Birmingham Birmingham Railway Bridge CIVIL ENGINEERS cloth bds common measure Complete Measurer compounded of ratios consequent contains continued proportionals course of mathematics cross order cx dx demonstrations ditto DOCTRINE OF PROPORTION engraved equal equimultiples ex æquali ex f expressed by numbers fifth definition folio four magnitudes four proportionals fraction Fx G geometrical proportion geometry gonal greater ratio half-bound incommensurable india paper infer inversely Keith's Thos last remainder Let A B C D London London Bridge magnitude taken magnitudes are proportionals Mechanics Nicholson's North Midland Railway North Shields number of magnitudes plates Practical Treatise prime PROP quantities Railway Bill ratio compounded remaining ratio second and fourth seventh definition SIR JOHN RENNIE sixth Spilsby Steam Steam-Engine term ratio THEO three magnitudes tion tiple Wilson Lowry ㅁㅁ
Populære avsnitt
Side 10 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any...
Side 2 - Ratio is the relation which one quantity bears to another of the same kind, the comparison being made by considering what multiple, part, or parts, one quantity is of the other.
Side 58 - IF there be any number of magnitudes, and as many others, which, taken two and two, in a cross order, have the same ratio; the first shall have to the last of the first magnitudes the same ratio which the first of the others has to the last. NB This is usually cited by the words
Side 62 - If there be any number of magnitudes, and as many others, which, taken two and two in order, have the same ratio ; the first shall have to the last of the first magnitudes, the same ratio which the first of the others has to the last. NB This is usually cited by the words "ex sequali,
Side 18 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Side 32 - THAT magnitude which has a greater ratio than another has to the same magnitude, is the greater of the two : and that magnitude, to which the same has a greater ratio than it has to another magnitude, is the less of the two.
Side 21 - IF the first be to the second as the third to the fourth, and if the first be a multiple, or part of the second; the third is the same multiple, or the same part of the fourth...
Side 55 - IF there be three magnitudes, and other three, which, taken two and two, have the same ratio ; if the first be greater than the third, the fourth shall be greater than the sixth ; and if equal, equal ; and if less, less...
Side 14 - IF one magnitude be the same multiple of another, which a magnitude taken from the first is of a magnitude taken from the other ; the remainder shall be the same multiple of the remainder, that the whole is of the whole.
Side 73 - L : and the same thing is to be understood when it is more briefly expressed, by saying A has to D the ratio compounded of the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed, if M has to N the same ratio which A has to D ; then, for shortness...