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" Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex ; construct the triangle. "
New Series of The Mathematical Repository - الصفحة 98
بواسطة Thomas Leybourn - 1819
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - عدد الصفحات: 196
...produced: EA C is the A. Ex. 46. Given the vertical angle, the difference of the sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex: construct the triangle. Take AB = difference of base segments; make £ABC — | given Z, and...

The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1880 - عدد الصفحات: 362
...triangle, as 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 made by a perpendicular let fall from the vertical angle. 6. In any plane triangle, as twice the rectangle under any two sides...

382 exercises, solved, upon the 3rd, 4th, 5th, and 6th books of Euclid

Patrick M. Egan - 1883 - عدد الصفحات: 212
...required triangle. EXERCISE 102. Given the vertical angle, tlie difference of the sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex: to construct the triangle. (Fig. 102, Plate VII.)—Let AD equal the difference of the segments...

The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1890 - عدد الصفحات: 360
...trianr/le. as 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 made by a perpendicular let fall from the vertical angle. 6. In any plane trianr/le, as twice the rectangle under any two sides...

The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1908 - عدد الصفحات: 386
...triangle, as 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 made by a perpendicular let fall from the vertical angle. 6. In any plane triangle, as twice the rectangle under any two sides...

The American Mathematical Monthly: The Official Journal of the ..., المجلد 30

1923 - عدد الصفحات: 494
...thus : "As the longest side : sum of the other two sides :: the difference of the said two sides : the difference of the segments of the base made by a perpendicular let fall from the vertical angle." "Altimetry and Longimetry" deal with the applications of trigonometry....

Lady's and Gentleman's Diary

1835 - عدد الصفحات: 444
...demonstrate it first. " Regiomontanus's Lemma. <l As the difference of the sides of a triangle is to the difference of the segments of the base made by a perpendicular, so is the base to the sum of the sides of the triangle. [Then this is demonstrated.] " My own Lemma....

Lady's and Gentleman's Diary

1827 - عدد الصفحات: 822
...is the base to the sum of the sides of the triangle. [Then this is demonstrated.] " My own Lemma. " The difference of the segments of the base made by a perpendicular, and the difference of the sides of the triangle, and the difference of the segments divided in the...




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