 | Tobias Ostrander - Measurement - 1834 - 182 pages
...perpendicular which will divide it into two right angles. Rule — As the whole length of the base is to the sum of the other two sides, so is the difference of those sides to the difference of the segments of the base ; half the said difference added to half... | |
 | Abel Flint - Geometry - 1835 - 368 pages
...71° 40' 23 20 95 00 48 23 CASE IV. The three sides given to find the angles. Fig. 49. The solution of this CASE depends on the following PROPOSITION....half the length of the longest side, will give the greatest segment ; and this half difference subtracted from the half sum will be the lesser segment.... | |
 | Abel Flint - Geometry - 1835 - 366 pages
...on the following PROPOSITION. IN EVERYlHhM: TRIANGLE, AS THE LONGEST SIDE is TO THE SUM OF TF^^>THER TWO SIDES, SO IS THE DIFFERENCE BETWEEN THOSE TWO...half the length of the longest side, will give the greatest segment ; and this half difference subtracted from the half sum will be the lesser segment.... | |
 | Thomas Holliday - Surveying - 1838 - 404 pages
....»177.5. Case 3rd. When the three sides are given to find the angles. Rule.—As the base or greatest side is to the sum of the other two sides, so is the difference of the sides to the difference of the segments of the base made by a perpendicular, let fall from the... | |
 | Abraham Crocker - 1841 - 486 pages
...triangle into two right-angled triangles. Then, by the common rule of proportion, As the whole base Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base. Then, half this difference of segments... | |
 | Joseph Gwilt - Architects - 1842 - 1114 pages
...triangle into two right-angled triangles, the proportion will be — As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base. Then take half the difference of these... | |
 | James Hann - Mechanics - 1848 - 352 pages
...planes 50 inches; required their common height, and the ratio of the weights. Rule. — As the base or longest side is to the sum of the other two sides, so is their difference to the difference of the segments of the base. And half the difference of the segments,... | |
 | Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...of B : AC. CASE 4thi Having the three sides, to find any angle. RULE. As the longest side or base, is to the sum of the other two sides, so is the difference of those sides, to the difference of the segments of the base, formed by a perpendicular let fall from... | |
 | John William Norie - Nautical astronomy - 1852 - 844 pages
...found by Rule I. III. When the three Sides are given, to find the Angles. As the base, or greatest side, Is to the sum of the other two sides, So is the difference of those sides, To the difference of the segments made by a perpendicular let fall from the greatest... | |
 | Oliver Byrne - Engineering - 1852 - 604 pages
...the whole triangle into two right-angled triangles ; it will be, As the base, or sum of the segments, Is to the sum of the other two sides ; So is the difference of those sides, To the difference of the segments of the base. Then, half the difference of the segments... | |
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As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base. 
