| Tobias Ostrander - 1834 - 159 Seiten
...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 - 1835 - 334 Seiten
...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 - 1835 - 334 Seiten
...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 - 1838 - 80 Seiten
....»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
...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 - 1842 - 1089 Seiten
...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 - 1848 - 325 Seiten
...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,... | |
| Ralph Smyth, Sir Henry Edward Landor Thuillier - 1851 - 718 Seiten
...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 - 1852 - 688 Seiten
...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 - 1852
...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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