 | Charles Hutton - Mathematics - 1811 - 442 pages
...triangle into two right-angled triangles : then the proportion will be, As 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 diff. of the segments of the base. Then take half this difference of the segments, and add it to the... | |
 | Charles Hutton - Mathematics - 1811 - 494 pages
...triangle into two right-angled triangles : then the proportion will be, As As the base, or sum of the segments, Is to the sum of the other two sides; So is the difference o£ those sides, To the diff. of the segments of the base. Then take half this difference of the segments,... | |
 | John Gummere - Surveying - 1814 - 398 pages
...• , As the base, or sum of the segments, * ;'• .Is to the sum of the other two sided ; . 'f • So is the difference of those sides, To the difference of the segments of the base.* * •' *~ * • • . ».» »"••••••.'.. "• * DEMONSTRATION. Let ABC, Fig. 48, be a... | |
 | Olinthus Gregory - Plane trigonometry - 1816 - 276 pages
...sides as base, then say, conformably with chap. ii. prop, 16. As the base, To the sum of the two other sides ; So is the difference of those 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... | |
 | John Gummere - Plane trigonometry - 1817 - 392 pages
...segments, and the whole triangle into two right angled triangles. Then, As the base, or sum of the segments, Is to the sum of the other two sides ; ,...sides, To the difference of the segments of the base.* * DEMONSTRATION. Let ABC, Fig. 48, be a triangle, and CD be perpendicular upon AB. About C as a centre... | |
 | Charles Hutton - Arithmetic - 1818 - 646 pages
...right-angled triangles : then the proportion will be, As , As the base, or sums of the segments, 1s 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 the segments, and add it t« the... | |
 | John Playfair - 1819 - 354 pages
...base ; the sum of the segments of the bast 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... | |
 | William Nicholson - Natural history - 1821 - 356 pages
...the side DC required 144.8 2.16U76 .Axiom If. In any plane triangle, as the base, or greater 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... | |
 | William Nicholson - Natural history - 1821 - 356 pages
...9-99116 To the side DC required 144.8 Aaeiom IV. In any plane triangle, as the base, or greater 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... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...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... | |
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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. 
