 | Robert Gibson - 1808 - 482 pages
...the base AD, will be to the sum of the other sides, AB, BD, as the difference of those sides, is to the difference of the segments of the base, made by the perpendicular BE j viz. the difference between AE and ED. Jig. 12. Produce BD, till BG=AB the lesser leg ; and on... | |
 | Francis Nichols - Plane trigonometry - 1811 - 162 pages
...fall within the triangle, the base is to the sum of the other two sides, as their difference is to the difference of the segments of the base made by the perpendicular. Let ABC be the proposed triangle, C the vertex, AB the base, CD the perpendicular dividing the base... | |
 | John Ryley, John Gawthorp, John Whitley - Mathematics - 1815 - 308 pages
...the vertical angle, and the sum of the squares of the lines drawn from the vertical angle to bisect the segments of the base made by the perpendicular, to construct the triangle. Solution by the Proposer. ANALYSIS. Suppose the thing <lone, and ABC the triangle required, AEBF the... | |
 | Robert Gibson - Surveying - 1818 - 502 pages
...the base AD, will be to the sum of the other sides, AB, BD, as the difference of those sides, is to the difference of the segments of the base, made by the perpendicular BE ; ' Tiz. the difference between AE and ED. fig- 7%A.,*. Produce BD, till BG= AB the lesser leg ;... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...given, the three first terms in the preceding proportion are given, and consequently the fourth, te the difference of the segments of the base made by the perpendicular when it falls within the triangle, may be found ; and the base or sum of the segments is also given,... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...given, the three first terms in the preceding proportion are given, and consequently the fourth, fe the difference of the segments of the base made by the perpendicular when it falls within the triangle, may be found ; and the base or sum of the segments is also given,... | |
 | Robert Gibson - Surveying - 1832 - 290 pages
...ABD, the base AD will be to the sum of the other sides AB, BD as the difference of those sides is to the difference of the segments of the base made by the perpendicular BE ; viz. the difference between AE and ED. Produce BD till BG=AB, the lesser leg ; and on B as a centre,... | |
 | James Thomson - 1844 - 328 pages
...triangle =14=£A, the perpendicular = 12 =• p, and the sum of the sides = 28=* ; to find the sides. Ana. The difference of the segments of the base made by the perpendicular is 4, or, in general terms, 10. Given the base of a triangle = 14 = 2!). the perpendicular = 12 = p,... | |
 | James Thomson - Algebra - 1845 - 328 pages
...triangle =14=26, the perpendicular = 12 = p, and the sum of the sides = 28=*; to find the sides. Ans. The difference of the segments of the base made by the perpendicular is 4., or, in general terms, 10. Given the base of a triangle = 14 = 26, the perpendicular = 12 = p,... | |
 | Harvey Goodwin (bp. of Carlisle.) - Mathematics - 1847 - 136 pages
...triangle ABC, given the sum of the sides AC, BC ; the perpendicular from the vertex С upon the base AB; and the difference of the segments of the base made by the perpendicular ; find the sides of the triangle. 4. Given the vertical angle, the perpendicular let fall from the... | |
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CE is equal to the difference of the segments of the base made by the perpendicular. 
