| William Marrat, Pishey Thompson - 1812 - 488 pages
...: g ; required the investigation. 14. Qu. (69) By the same. Given the difference of the segments of the base, the difference of the angles at the base, and the distance on the base between the perpendicular from the vert, angle, and point of contact of the inscribed... | |
| Thomas Leybourn - Mathematics - 1819 - 430 pages
...stereographic projection of that line is a circle. , %• IX. QUESTION 339, by Mr. NOBLE, RM College. Given the base, the difference of the angles at the base, and the rectangle of the sides, to construct the plane triangle. FIRST SOLUTION, by Mr. S. JONES, Liverpool.... | |
| Thomas Simpson - Algebra - 1821 - 426 pages
...supplement DOC, expressing the difference of the angles at the base, will also be known. PROBLEM LIX. The base, the difference of the angles at the base, and the line drawn from me vertical angle to bisect the base of any plane triangle, being given; to describe... | |
| Mathematics - 1828 - 336 pages
...satisfied by x = 0, or x = 90°, corresponding to a minimum, QUESTION XI. (164.)— By Mr. James Divver. Given the base, the difference of the angles at the base, and the line that bisects the vertical angle ; to determine the triangle. FIRST SOLUTION.— By Mr. William... | |
| James Bates Thomson - Plane trigonometry - 1844 - 148 pages
...given angle, we have (82) s—6 : s—a :: tan^A : tan^B. 208. Given the base of a plane triangle, one of the angles at the base, and the sum of the other sides; to resolve the triangle. This will be solved by means of formula (83). 209. Given the angles... | |
| George Roberts Perkins - Geometry - 1847 - 326 pages
...the foregoing are particular cases, may be thus given : PROBLEM. Given the base of a triangle, one of the angles at the base, and the sum of the other two, sides, to construct the triangle. Construction. Make AB equal to the given base ; draw AC, making the angle BAC... | |
| Euclides - Geometry - 1853 - 176 pages
...angles, to divide one half of the angle into the same number of equal angles. 6. Given the base, one of the angles at the base, and the sum of the other two sides, to construct the triangle. 7. To find a point in a triangle equidistant from the three angular points... | |
| Benjamin Greenleaf - Geometry - 1862 - 532 pages
...straight line a point equally distant from, two given points. 35. To construct a triangle, the base, one of the angles at the base, and the sum of the other two sides being given. 36. To trisect a right angle. 37. To divide a triangle into two parts by a line drawn... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 pages
...straight line a point equally distant from two given points. 35. To construct a triangle, the base, one of the angles at the base, and the sum of the other two sides being given. 36. To trisect a right angle. 37. To divide a triangle into two parts by a line drawn... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...straight line a point equally distant from two given points. 35. To construct a triangle, the base, one of the angles at the base, and the sum of the other two sides being given. 36. To trisect a right angle. 37. To divide a triangle into two parts by a line drawn... | |
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