 | Charles Hutton - Mathematics - 1822 - 616 pages
...whole triangle into two right-angled triangles : then the proportion will be. As the base, or sums of the segments, Is to the sum of the other two sides ; So is the difference of those sides, To the diff. of the segments of the base. Then take half this difference of ihe segments, and add it to the... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...the first case. 3. When the three sides are given to find the angles. As the base, or longest side, is to the sum of the other two sides, so is the difference...sides to the difference of the segments of the base, made by a perpendicular from the opposite angle, (Trig. Prop. 7.) Then the half difference added to... | |
 | Abel Flint - Surveying - 1825 - 252 pages
...solution of this CASE depends on the following PROPOSITION. In every Plane Triangle, as the longest Side is to the sum of the other two Sides, so is the difference between those two Sides to the difference between the Segments of the longest Side, made by a Perpendicular... | |
 | Arithmetic - 1829 - 196 pages
...after the FOLLOWING MANNER : 349 a. As the WHOLE BASE : is to the BUM OF THE TWO SHOBTEI •iiDEB : : so is the DIFFERENCE of those sides : to the DIFFERENCE OF THE * The longest side of a triangle is usually called the hase, except in a right an glcd triangle, where... | |
 | Charles Davies - Surveying - 1830 - 318 pages
...from either angle perpendicular to the opposite sidr, dividing it into two segments, the whole side or sum of the segments, is to the sum of the other two sides, as the difference of those sides, to the differ' ence of the segments. * The references marked thus,... | |
 | Charles Hutton - Mathematics - 1831 - 660 pages
...it into two segments, and the whole triangle into two right-angled triangles : then the proportion will be, As the base, or sum of the segments, Is to the sum of the other two sides ; So is ihe difference of those sides, To the «lilK of the segments of the base. Then take half this difference... | |
 | Tobias Ostrander - Measurement - 1833 - 172 pages
...angles, or the diameter of a circle circumscribing the triangle. Rule—As the whole length of the base is to the sum of the other two sides, so is the difference...sides to the difference of the segments of the base; half the said difference added to half the base gives the greater of the two segments, subtracted leaves... | |
 | 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...sides to the difference of the segments of the base ; half the said difference added to half the base, gives the longest of the two segments — subtracted,... | |
 | Abel Flint - Geometry - 1835 - 368 pages
...solution of this CASE depends on the following PROPOSITION. IN EVERY PLANE TRIANGLE, AS THE LONGEST SIDE IS TO THE SUM OF THE OTHER TWO SIDES, SO IS THE DIFFERENCE BETWEEN THOSE TWO SIDES TO THE DIFFERENCE BETWEEN THE SEGMENTS OF THE LONGEST SIDE, MADE BY A PERPENDICULAR... | |
 | Charles Davies - Navigation - 1837 - 342 pages
...from the vertical angle perpendicular to tlie base, dividing it into two segments : then, the whole base, or sum of the segments, is to the sum of the other two sides, as the difference of those sides to the difference of the segments. 59. Let BAC be a triangle, and... | |
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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. 
