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" NB When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater... "
An Elementary Treatise on Algebra: Theoretical and Practical - Σελίδα 7
των James Ryan, Robert Adrain - 1824 - 516 σελίδες
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...called proportionals. NB 'When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth.' vn. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...arc called proportionals. When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth. VIL When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...called proportionals. NB ' When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth.' vn. "When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 σελίδες
...called proportionals.^ NB 'When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple...

Practical geometry for the architect, engineer, surveyor and mechanic

Edward Wyndham Tarn - 1871 - 240 σελίδες
...first and fourth. THE STRAIGHT LINE. When four magnitudes are proportional, it is usual to say that the first is to the second as the third to the fourth ; or, the first contains, or is contained in, the second the same number of times, or parts of a time,...

Euclid, Book V. Proved Algebraically, So Far as it Relates to Commensurable ...

Euclid, Lewis Carroll - 1874 - 80 σελίδες
...QED PEOP. C. If the first be the same multiple or part of the second as the third is of the fourth : the first is to the second as the third to the fourth. Repeat enunciation, with full algebraical meaning If the first be the same multiple or part of the...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...called proportionals. NB " When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth." 7. When of the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of...

Euclid, book v. proved algebraically, so far as it relates to commensurable ...

Charles Lutwidge Dodgson - 1874 - 96 σελίδες
...QED PROP. C. If the first be the same multiple or part of the second as the third is of the fourth : the first is to the second as the third to the fourth. Repeat enunciation, with full algebraical meaning If the first be the same multiple or part of the...

The elementary geometry of the right line and circle

William Alexander Willock - 1875 - 196 σελίδες
...good — the first is to the third in the ratio of the second to the fourth. BY INVERSION. — When the first is to the second as the third to the fourth, the second is to the first as the fourth to the third. This is evident from the first test. For, since...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...called proportionals. NB 'When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth.' VIL "When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple...




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