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" ABu} is equal to the Double of AC. So that, whereas in case of Negative Roots, we are to say, The Point B cannot be found, so as is supposed in AC Forward, but Backward from A it may in the same Line: We must here say, in case of a Negative Square, the... "
Lectures on Quaternions: Containing a Systematic Statement of a New ... - Page 32
by Sir William Rowan Hamilton - 1853 - 736 pages
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The Principles and Application of Imaginary Quantities ...

Benjamin Gompertz - Numbers, Complex - 1817 - 92 pages
...is "supposed, in AC forward, but backward from A it may in the same "line ; we must here say, in the case of a negative square, the point B " cannot be...line AC, but above that line " it may, in the same plane. This I have the more largely insisted on, " because the notion, I think, is new, &c." There...
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Proceedings of the American Association for the Advancement of ..., Volume 46

American Association for the Advancement of Science - Science - 1898 - 628 pages
...cannot be found, so as is supposed in ^ICForward, but Backward from A it may in the same Line : We mnst here say, in case of a Negative Square, the Point...may in the same Plain. This I have the more largely insisted upon, because the Notion (I think) is new; and this, the plainest Declaration that at present...
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The Elements of Coördinate Geometry: In Three Parts and an Appendix

De Volson Wood - Geometry, Analytic - 1890 - 372 pages
...so as is supposed in AC forward, but backward it may be in the same line ; we must here say, in the case of a Negative Square the point B cannot be found so as was, in the line AC; but above that Line it may be in the same Plane. This I have the more largely insisted...
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Proceedings of the American Association for the Advancement of ..., Volume 46

American Association for the Advancement of Science - Science - 1898 - 626 pages
...Roots, we are to say, The Point B cannot be found, so as is supposed in^lCForward, but Backward from A it may in the same Line: We must here say, in case...may in the same Plain. This I have the more largely insisted upon, because the Notion (I think) is new; and this, the plainest Declaration that at present...
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Proceedings, Volume 46

American Association for the Advancement of Science - American periodicals - 1898 - 622 pages
...we are to say, The Point /? cannot be found, so as is supposed in .-ICForward, but Backward from A it may in the same Line : We must here say, in case...may in the same Plain. This I have the more largely insisted upon, because the Notion (I think) is new; and this, the plainest Declaration that at present...
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Proceedings of the American Association for the Advancement of ..., Volume 46

American Association for the Advancement of Science - Science - 1898 - 608 pages
...Koots, we are to say, The Point B cannot be found, so as is supposed in ^ICForward, but Backward from A It may in the same Line : We must here say, in case...B cannot be found so as was supposed, in the Line 4. C; but Above that Line it may in the same Plain. This I have the more largely insisted upon, because...
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Proceedings of the American Association for the Advancement of ..., Volume 46

American Association for the Advancement of Science - Science - 1898 - 624 pages
...Roots, we are to say, The Point B cannot be found, so as is supposed in AC Forward, but Backward from A it may in the same Line: We must here say, in case...may in the same Plain. This I have the more largely insisted upon, because the Notion (I think) is new; and thU, the plainest Declaration that at present...
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