 What are the relative positions of the following eight points: (a, b, c), (a, ft, - c), (a, - 6, c), (- a, b, c), (a, - 6, - c), (- a, b, - c), (- a, - 6, c), (- a, - 6, - c) ? Which of these points are symmetric with regard to the origin ? Which are...  Coordinate Geometry - Pàgina 191per Henry Burchard Fine, Henry Dallas Thompson - 1909 - 297 pàginesVisualització completa - Sobre aquest llibre
 | George Albert Wentworth - 1891 - 380 pàgines
...Parentheses. From the laws of parentheses (§ 20), we have the following equivalent expressions : с); a + (6— c) = a + 6 — c, /. a + 6 — c = a + (6 — c); a — (6 + c) = a — 6 — e, .'. a — 6 — с = a — (i + c); a — (b—с} = a — b-\-с, л a — 6 + c = a — (b... | |
 | George Albert Wentworth - 1897 - 386 pàgines
...following equivalent expressions : = a + b + c, .: a + b + c = a a-\-(b — c) = a + 6 — c, .'. a + b — c = a + (6 — c); a — (6 + c) = a — 6 — c, .'. a — 6 — c = a — (^ + c); a — (b— c) = a — 6 + c, .'. a — 6 + c = a — (b — c); that is, if a parenthesis... | |
 | Frederick Howland Somerville - 1905 - 222 pàgines
...in parentheses. The sign of the second term of each expression becomes the sign of the parenthesis. (a + 6 - c) (a - 6 + c) = [a + (6 - c)] [a - (6 - c)] = a2 - (6 - c)2 = a2 - (i2 - 2 be + c2) = a2 - i2 + 2 be - c2. Result. Exercise 29 Write by inspection... | |
 | Henry Burchard Fine, Henry Dallas Thompson - 1909 - 335 pàgines
...positions of the following eight points: (a, 6, c), (a, &, - c), (a, - 6,'c), (- a, b, c), (a, - 5, - c), (- a, 6, - c), (- a, - 6, c), (- a, -- 6, - c)...between two points P', P", in terms of their coordinates (V, y', z'), (x"f y'f, z"). Through P' and P" take planes parallel to the coordinate planes. These... | |
 | Henry Burchard Fine, Henry Dallas Thompson - 1909 - 336 pàgines
...relative positions of the following eight points: (a, ft, c), (a, 6, - c), (a, - b, c), (- a, ¿/, c), (a, - 6, - c), (- a, 6, - c), (— a, - 6, c), (- a, - 6, - c) ? Which of these points are symmetric with regard to the origin ? Which are symmetric with regard to... | |
 | Frederick Howland Somerville - 1913 - 458 pàgines
...5 = 15. And, again, the same result from each process. In general symbols : For the - parenthesis : a - (6 + c) = a - 6 - C. a- (6 - c) = a - 6 + c. In general : 40. If a - ( ) is removed, the sign of every term in it must be changed. Two important... | |
 | Virgil Snyder, Charles Herschel Sisam - 1914 - 307 pàgines
...in the remaining ^y octants at the same absolute /F D distances from the coordinate planes are (— a, 6, c), (a, — 6, c), (a, 6, - c), (- a, —6, c), (— a, 6, - c), (a, - b, - c), (- a, — &,— c). Two points are symmetric with regard to a plane if the line joining... | |
 | Franc Močnik, Franc Hočevar - 1926 - 264 pàgines
...d = 5 die Ausdrücke : a -\-bc — d, (afc).(6 — d), a-\-d.(c — 6). 4. Berechne die Ausdrücke (a : 6) . c, a : 6 c, (a : 6) : c, a : (6 : c) für a; a = 24, 6 = 6, с = 2; 6; a = 36, 6 = 18, с = 3. 5. Berechne die Ausdrücke (a 6 : c) : d,... | |
 | François Rostand - 1962 - 172 pàgines
...lèsprémisses, peut fort bien être « risqué ». Autre exemple : pour passer des axiomes a — a = 0 a + O=a a + (6 + c) = (a + 6) c a (6 + c) = (a + 6) + c a + b = b + a le mathématicien ne recourra pas, généralement, à une explication exhaustive : il «... | |
 | Carl Friedrich Gauß - 474 pàgines
...ergibt sich also NACHLASS. Anfangspunkt 8 9 12 14 16 17 18 19 20 21 32 Anfangspunkt b -fc — a -b -a -b +a -6 +c +a +6 +c -a +6 +c —a —6 + c Man sieht aus der vorigen Analyse, dass das letzte Zeichen, welches in diesem Tableau jeder Figur entspricht,... | |
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