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Llibres Llibres 61 - 69 de 69 sobre Componendo, by composition ; when there are four proportionals, and it is inferred....
" Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth. "
Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ... - Pągina 155
per Sir John Leslie - 1809 - 493 pągines
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New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - 1879 - 324 pągines
...quantities be in proportion, they will be in proportion by INVERSION ; that is, the second will be to the first, as the fourth to the third. Let a : b = c : d. Then by formula (A), \ = § (1). oa Clearing of fractions, be = ad . . . (2). Hence by Prop. II., b : a...
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Aristotelous Peri Poiētikēs

Aristotle - 1883 - 95 pągines
...cutting draining and draining cutting, both 6 being to take something away : by (4) analogy I mean when the second is to the first as the fourth to the third, as then one may use the fourth for the second or the second for the fourth, sometimes even adding that...
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De arte poetica: (Vahlen's text)

Aristotle - 1885 - 95 pągines
...cutting draining und draining cutting, both 6 being to take something awuy : by (4) analogy I mean when the second is to the first as the fourth to the third, as then one may use the fourih for the second or the second for the fourth, sometimes even adding that...
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A Treatise on Algebra

James Edward Oliver, Lucien Augustus Wait, George William Jones - 1887 - 412 pągines
...&) . THKOE. 7. If four numbers be proportional, they are proportional : (a) Inversely : the second to the first as the fourth to the third. Let a : b = с : d, then will b : a = d : c. For ••• ad =bc, [th. 6 .-. b:a = d:c. QED [th. G cv. (b) Alternately:...
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A Text-book of Geometry

George Albert Wentworth - 1890 - 437 pągines
...quantities are in proportion, they will be in proportion by inversion ; that is, the second term will be to the first as the fourth to the third. Let a: b = c:d. To prove b : a = d : c. Now be = ad. § 295 Divide each member of the equation by ac. Then *=£...
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A Text-book of Geometry

George Albert Wentworth - 1894 - 437 pągines
...quantities are in proportion, they will be in, proportion by inversion ; that is, the second term will be to the first as the fourth to the third. Let a •. b = c : d. To prove b:a = d:c. Now be = ad. § 295 Divide each member of the equation by ac. Then £ = £ ac or,...
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Translating Investments: Metaphor and the Dynamic of Cultural Change in ...

Judith H. Anderson - 2005 - 324 pągines
...transference resulting from analogy as being "possible whenever there are four terms so related that the second is to the first, as the fourth to the third; for one may then put the fourth in place of the second, and the second in place of the fourth."45 This...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - 1848 - 240 pągines
...quantities are in proportion, they will be in proportion by INVERSION ; that is, the second icil! be to the first as the fourth to the third. Let a : b : : c : d. By Art. 244, ad=be. Dividing both sides by b, j:=eDividing both sides by d, i.—jThat is, 6 : a :...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - 1848 - 240 pągines
...quantities are in proportion, they will be in proportion by INVERSION ; that is, the second will be to the first as the fourth to the third. Let a : b : : c : d. By Art. 244, ad=bc. Dividing both sides by 6, ~~T=CDividing both sides by d, T— jThat is, b : a :...
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