 From A as a centre, with a radius equal to o, describe an arc ; and from B as a centre, with a radius equal to m, describe an arc intersecting the former arc at С.  Elements of Geometry - Page 113by George Albert Wentworth - 1882 - 250 pagesFull view - About this book
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...Geometry. But it is obfervable, that, when one of the three given Quantities <7, 6, с (fuppofe e) is equal to, or greater than, the Sum of the other two, a Triangle cannot then be formed whofe Sides are proportional to the faid Quantities : In that Cafe... | |
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...— 17. " One Thing is to be taken Notice of, and that is, when any one of the Quantities я, " m, f, is equal to, or greater than the Sum of the other two, the Oueltion is impof" fible. MATHEMATICAL QUESTIONS Queftion 1 8, unanfwcrcd. . 19, anfweredby Mr.... | |
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...triangle can be constructed (I. 80). 83. Scholium. The problem is impossible when one of the given sides is equal to or greater than the sum of the other two (I. 66). F C" E PROPOSITION XXXV.— PROBLEM. 84. Two sides of a triangle and the angle opposite to... | |
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 | George Albert Wentworth - Geometry - 1877 - 436 pages
...equal to m, describe an arc intersecting the former arc at С. Draw (7 Л and С B. Then AC AB is the A required. QEF 233. SCHOLIUM. The problem is impossible...the hypotenuse. It is required to construct a rt. A having the hypotenuse equal о and one side equal m. Take AB equal to m. At A erect a -L, A X. From... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...arc intersecting the former arc at С. Draw С A and СB. ' Then Д С AB is the Д required. a. EF 233. SCHOLIUM. The problem is impossible when one...right triangle being given, to construct the triangle. С A in Let т Ьe the given side, and o the hypotenuse. 1t is required to construct a rt. Д Imving... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...and C B. Then ACA £ is the A required. QEF 233. SCHOLIUM. The problem is impossible when one sideis equal to or greater than the sum of the other two....construct the triangle. Let m be the given side, and o the hypotenuse. It is required to construct a rt. A having the hypotenuse equal o and one side equal... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...an arc intersecting the former arc at C. Draw С A and С B. Then Д С AB is the Д required. a. EF 233. SCHOLIUM. The problem is impossible when one...the other two. GEOMETRY. — BOOK II. PROPOSITION ХХХГУ. PROBLEM. 234. The hypotenuse and one side of a right triangle being given, to construct... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...and С B. Then Д С AB is the A required. QEF 233. SCHOLIUM. The problem is impossible when one sido is equal to or greater than the sum of the other two. GEOMETRY. BOOK П. PROPOSITION XXXIV. PROBLEM. 234. The hypotenuse and one side of a right triangle being given, to... | |
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