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 Βιβλία Βιβλία This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which the second has to the fourth ; or that the first is to the third as the second to the fourth : as is shown in Prop. The elements of plane geometry; or, The first six books of Euclid, ed. by W ... - Σελίδα 68
των Euclides - 1863
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 332 σελίδες
...permutation, or alternately ; this word is used when there are four proportionals, and it is inferred, that the first . has the same ratio to the third which...first is to the third as the second to the fourth : See Prop. 16. of this Book. 15. Invertendo, by inversion : When there are four proportionals, and... ## Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 σελίδες
...Permutation, when it is inferred that if there be four magnitudes, of the same kind, proportional, the first is to the third as the second to the fourth ; as, is shown in Prop. 33, B. 5. Ex. gr. — A to B as C to Do, becomes A to C as B to Do. 15. By Inversion, when it is inferred... ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...or aMernando, by permutation or alternately ; when there are four proportionals, and it is inferred, that the first is to the third as the second to the fourth ; as is shewn in (S. 16) : xiv. Invertendo, by inversion ; when there are four proportionals, and it is inferred,... ## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclid - 1848 - 52 σελίδες
...permutation or alternately. This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which...as the second to the fourth : as is shown in Prop. xvi. of this Fifth Book. XIV. Invertendo, by inversion; when there are four proportionals, and it is... ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...permutation or alternately. This word is used when there are four proportionals, and it is inferred, that the first has the same ratio to the third which...third as the second to the fourth ; as is shown in the 16th Prop, of this 5th Book. 14. Invertendo, by inversion ; when there are four proportionals,... ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...permutation, or alternately. This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which...is to the third as the second to the fourth : as is shewn in the 1 6th Prop, of this 5th Book. XIV. Invertendo, by inversion ; when there are four proportionals,... ## The practice and theory of arithmetic

William Frederick Greenfield - 1853 - 228 σελίδες
...a : b :: c : d, a X rf= b X c ; .-. from the Prop, b : a : : d : c. Cor. 2. Also, in the same case, the first is to the third as the second to the fourth. For if a : b :: c : d, a X </ = * X c ; and .•. from the Prop. a : c :: b : d. Cor. 3. Also the third... ## Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 532 σελίδες
...proportional if taken alternately, provided the four quantities arc all of the same kind ; that is, the first is to the third, as the second to the fourth : thus, if a : Ь : : e : d then a : e : : Ь : d if the quantities are alike in kind ; because from... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 σελίδες
...permutation or alternately. This phrase is used -when there are four proportionals, and it is inferred that the first has the same ratio to the third which...as the second to the fourth : as is shown in Prop XVI. of this Fifth Book. XIV. Invertendo, by inversion ; when there are four proportionals, and it... ## The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 σελίδες
...permutation, or alternately ; this word is used when there are four proportionals, and it is inferred, that the first has the same ratio to the third, which...third, as the second to the fourth : as is shown in the 16th proposition of this book. 15. Invertendo, by inversion ; when there are four proportionals,...