 | Robert Simson - 1806 - 546 σελίδες
...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... | |
 | John Playfair - 1806 - 320 σελίδες
...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,... | |
 | John Mason Good - 1813 - 714 σελίδες
...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... | |
 | Euclides - 1814 - 560 σελίδες
...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.... | |
 | Euclides - 1816 - 588 σελίδες
...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... | |
 | John Playfair - 1819 - 354 σελίδες
...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,... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...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... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...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... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...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,... | |
 | Robert Simson - 1827 - 546 σελίδες
...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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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... 
