 | 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... | |
 | 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 - 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,... | |
 | 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,... | |
 | 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
...= 4 R sin — sin — sin — . 222 3. In a plane triangle ABC, given the sum of the sides AC, BC ; the perpendicular from the vertex С upon the base...the perpendicular ; find the sides of the triangle. 4. Given the vertical angle, the perpendicular let fall from the vertical angle on the base, and the... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...the base of any triangle is to the sum of the two other sides, as the difference of the latter is to the difference of the segments of the base made by the perpendicular. PROPOSITION XXXII. THEOREM. The diagonal and side of a square have no common measure. Let ABCD be a... | |
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CE is equal to the difference of the segments of the base made by the perpendicular. 
