 | Tobias Ostrander - 1834 - 182 páginas
...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 the base, gives the longest of the two segments — subtracted,... | |
 | John Playfair - 1837 - 332 páginas
...base ; the sum of the segments of the base is to the sum of the other tioo 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... | |
 | Abraham Crocker - 1841 - 486 páginas
...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 added to half the base, will give the greater segment ; and... | |
 | Joseph Gwilt - 1842 - 1114 páginas
...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 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... | |
 | Olinthus Gilbert Gregory - 1848 - 572 páginas
...longest of the three sides as base, then say, conformably with Prop. XVI., last section, As the base, Is to the sum of the two other sides ; So is the difference...sides, To the difference of the segments of the base. Half the base added to the said difference gives the greater segment, and made less by it gives the... | |
 | Sir Henry Edward Landor Thuillier - 1851 - 826 páginas
...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 its opposite angle. Half the difference of the segments thus... | |
 | Oliver Byrne - 1852 - 604 páginas
...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 being added to the half sum, or the half base, gives the... | |
 | John William Norie - 1852 - 844 páginas
...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... | |
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... 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. 
