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" This term is used when the first magnitude is to the second of the first rank, as the last but one is to the last of the second rank; and as the second is to the third of the first rank, so is the last but two to the last but one of the second rank; and... "
The elements of plane geometry; or, The first six books of Euclid, ed. by W ... - Seite 69
von Euclides - 1863
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...second is to the third of the first rank, so is the last but two to the last but one of the second rank ; and as the third is to the fourth of the first...is as in the 18th definition. It is demonstrated in the 23d prop, of book 5. AXIOMS. I. EQUIMULTIPLES of the same, or of equal magnitudes, are equal to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...second is to the third of the first rank, so is the last but two to the last but one of the second rank ; and as the third is to the fourth of the first rank, so is the Book V; third from the last to the last but two of the second rank ; and so on in a cross, or inverse,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 Seiten
...but one is to the last of the second rank; and as the second is to the third of the first rank, f«5 is the last but two to the last but one of the s-cond...fourth of the first rank, so is the third from the lust to the last but t»o of tlie second rank: and so on in a cross order: and the inference is as...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 Seiten
...second is to the third of the first rank, so is the last but two to the last but one of the second rank ; and as the third is to the fourth of the first...rank, so is the third from the last to the last but tw» of the second rank, and so on in a cross order: And the inference is as in the 18th definition....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...second is to the third of the first rank, so is the last but two to the last but one of the second rank ; and as the third is to the fourth of the first...in a cross order : And the inference is as in the 1 8th definition. It is demonstrated in the 23d Prop. of Book 5. AXIOMS. I. • •! EQUIMULTIPLES...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 Seiten
...second is to the third of the first rank, so is the last but two to the last but one of the second rank ; and as the third is to the fourth of the first...but two, of the second rank ; and so on in a cross, or inverse, order ; and the inference is as in the t9th definition. It is demonstrated in the 23d Prop,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 Seiten
...second is to the third of the first rank, so is the last but two to the last but one of the second rank; and as the third is to the fourth of the first...on in a cross order: and the inference is as in the i8th definition. It is demonstrated in the 23d Prop, of book 5. AXIOMS. \ f *», EQUIMULTIPLES of the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 Seiten
...rank, so is the last but two to the last but one of the secón«? rank; and as the third is to tin fourth of the first rank, so is the third from the...is as in the 18th definition. It is demonstrated in the 23d Prop, of Book A. ELBKKNTS OP EUCLID. AXIOMS. i. EQUIMULTIPLES of the саше, or of equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 Seiten
...seeond is to the third of the first rank, so is the last but two to the last but one of the seeond rank ; and as the third is to the fourth of the first rank, so ia the third from the last, to the last but two, of the seeond rank; and so on in a eross, or inverse,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...second is to the third of the first rank, so is the last but two to the last but one of the second rank; and as the third is to the fourth of the first...is as in the 18th definition. It is demonstrated in the 23d Prop. of Book 5. AXIOMS. I. EQUIMULTIPLES of the same, or of equal magnitudes, are equal to...
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