A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page 22
... sum of the fquares of the legs . Given EXAMPLE I. In the plane triangle ABC SAB = 345 yards AC = 174'07 yards < A = 37 ° 20 ′ Required the other parts . Conftruction . H 1. Draw AB equal to 345 , from a scale of equal parts . 2. Make ...
... sum of the fquares of the legs . Given EXAMPLE I. In the plane triangle ABC SAB = 345 yards AC = 174'07 yards < A = 37 ° 20 ′ Required the other parts . Conftruction . H 1. Draw AB equal to 345 , from a scale of equal parts . 2. Make ...
Page 38
... being five feet : What was the height of the obelisk ? fubt . 223 45 ' $ 41 ° LCDB 17 15-94720856 BC = 60 - 1 * 7781512 LC = 23 ° 45 ′ — 9.6050320 BD = 81488-19110976 BD D B C BD 81 * 488 BE 40 ° Sum 121 * 38 Part- HEIGHTS and DISTANCES .
... being five feet : What was the height of the obelisk ? fubt . 223 45 ' $ 41 ° LCDB 17 15-94720856 BC = 60 - 1 * 7781512 LC = 23 ° 45 ′ — 9.6050320 BD = 81488-19110976 BD D B C BD 81 * 488 BE 40 ° Sum 121 * 38 Part- HEIGHTS and DISTANCES .
Page 39
Both in Theory and Practice Charles Hutton. BD 81 * 488 BE 40 ° Sum 121 * 488 Diff . 41-488 Tang . Tang . E + EDB 2 E - EDB 2 * 0845048 1.6179225 69 ° 30 ! 10'4272623 42 25 - 2 9 * 9606800 Dif . = LEDB = 27 05 LEDB = 27 ° 05 BE = 40 ...
Both in Theory and Practice Charles Hutton. BD 81 * 488 BE 40 ° Sum 121 * 488 Diff . 41-488 Tang . Tang . E + EDB 2 E - EDB 2 * 0845048 1.6179225 69 ° 30 ! 10'4272623 42 25 - 2 9 * 9606800 Dif . = LEDB = 27 05 LEDB = 27 ° 05 BE = 40 ...
Page 44
... Sum = 15'75 Diff . = 105 1 * 1972806 0'0211893 A + B Tang . = 62 ° 10 ′ - 10 ° 2773793 2 A - B Tang . = 7 11-9'1012880 LA = 2 • 6921 LA = 69 ° 21 CB = 8'4 chains LC = 55 ° 40 ′ AB = = 7 ° 412 chains b ia 9'9711982 0 * 9242793 9'9168593 ...
... Sum = 15'75 Diff . = 105 1 * 1972806 0'0211893 A + B Tang . = 62 ° 10 ′ - 10 ° 2773793 2 A - B Tang . = 7 11-9'1012880 LA = 2 • 6921 LA = 69 ° 21 CB = 8'4 chains LC = 55 ° 40 ′ AB = = 7 ° 412 chains b ia 9'9711982 0 * 9242793 9'9168593 ...
Page 47
... Sum = 1226 ° 43 296.49 AHM + AMH I A B 9'5903869 2.4771213 9'9949158 2.8816502 3'0886427 2'4720100 10 * 4754801 9.8588474 Dif . = Tan . L = 7110 2 Tan . L AHM - AMH = 35 ° 51 ′ 35 39 - LAMH LAMH LAMH = 35 ° 39 ' AH - LHAM = Sect . III ...
... Sum = 1226 ° 43 296.49 AHM + AMH I A B 9'5903869 2.4771213 9'9949158 2.8816502 3'0886427 2'4720100 10 * 4754801 9.8588474 Dif . = Tan . L = 7110 2 Tan . L AHM - AMH = 35 ° 51 ′ 35 39 - LAMH LAMH LAMH = 35 ° 39 ' AH - LHAM = Sect . III ...
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