 | Abraham Crocker - 1841 - 486 páginas
...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...sides To the difference of the segments of the base. Then, half this difference of segments added to half the base, will give the greater segment ; and... | |
 | Joseph Gwilt - 1842 - 1114 páginas
...whole 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...sides To the difference of the segments of the base. Then take half the difference of these segments, and add it to the half sum, or the half base, for... | |
 | John Playfair - 1842 - 332 páginas
...base ; the sum of the segments of the base is to the sum of the other two sides of the triangle as the difference of those sides to the difference of the segments of the base. For (K. 6.), the rectangle under the sum and difference of the segments of the base is equal to the... | |
 | Euclid, John Playfair - 1846 - 334 páginas
...base ; the sum of the segments of the base is to the sum of the other, two sides of the triangle as the difference of those sides to the difference of the segments of the base. For (K. 6.), the rectangle under the sum and difference of the segments of the base is equal to the... | |
 | Sir Henry Edward Landor Thuillier - 1851 - 826 páginas
...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...sides, to the difference of the segments of the base, formed by a perpendicular let fall from its opposite angle. Half the difference of the segments thus... | |
 | Oliver Byrne - 1852 - 600 páginas
...segments, and 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...sides, To the difference of the segments of the base. Then, half the difference of the segments being added to the half sum, or the half base, gives the... | |
 | John William Norie - 1852 - 844 páginas
...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 angle upon the base. Then half this difference added... | |
 | Andrew Duncan (Surveyor) - 1854 - 156 páginas
...either side on which the perpendicular will fall from the opposite angle the base, then as the base is to the sum of the other two sides so is the difference of those sides to the difference of the segments made by the perpendicular, then half that difference added to half the sum gives the greater, and substracted... | |
 | Frederick Augustus Griffiths - 1854 - 406 páginas
...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...difference of those sides, to the difference of the segment of the bases ; then add half the difference of the segments to the half sum, or the half base,... | |
 | Frederick Augustus Griffiths - 1859 - 422 páginas
...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...those sides, to the difference of the segments of the bases : then add half the difference of the segments to the half sum, or the half base, for the greater... | |
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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. 
