| John Gummere - Plane trigonometry - 1817 - 392 pages
...90, be the given triangle and AB the given base ; on AB describe the semicircle AEB and take AF to AB in the ratio of the part to be cut off, to the whole triangle ; draw FE perpendicular to AB, meeting the semicircle in E, join AE and make AD equal to AE... | |
| John Gummere - Surveying - 1817 - 384 pages
...be the given triangle and AB the given base ; on AB describe the semicircle AEB and take AF to AB m the ratio of the part to be cut off, to the whole triangle ; draw FE perpendicular to AB, meeting the semicircle in E, join AE and make AD equal to AE... | |
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...equal to the given angle which the cutting line is to make with AC. Produce AB to D; and make AE : AB in the ratio of the part to be cut off to the whole. Take AF a mean proportional between AE and AD ; draw FG parallel to CD ; FG is the line required. Join... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...equal to the given angle which the cutting line is to make with AC. Produce AB to D ; and make AE : AB in the ratio of the part to be cut off to the whole. Take AF a mean proportional between AE and AD ; draw FG parallel to CD ; FG is the line required. Join... | |
| Samuel Alsop - Surveying - 1848 - 104 pages
...joined ; ABC will be the triangle. For the Division Line. Make AP = 8.50 the given distance. Take AF to AC in the ratio of the part to be cut off to the...parallel to it ; then PG will be the division line. Demonstration. AB : AP : : AG : AF, Therefore, AB. AC : AP. AG : : AC .AG : AG.AF:: AC: AF, or AB.AC.sin.... | |
| Samuel H. Winter - 1878 - 132 pages
...given triangle, ABD the given angle. Produce AC to meet BD in D. Take the point E in AC BO that AE ; AC in the ratio of the part to be cut off to the whole triangle. Fio. 12. Take AP a mean proportional between AE and AD ; draw PF parallel to BD ; join E... | |
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