| Robert Simson - 1806 - Liczba stron: 518
...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 - Liczba stron: 311
...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
...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
...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 - Liczba stron: 528
...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 - Liczba stron: 317
...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 - Liczba stron: 516
...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 - Liczba stron: 372
...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 - Liczba stron: 320
...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 - Liczba stron: 513
...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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