| Charles Hutton - Mathematics - 1811
...instrument, or the summit of the observed angle APB : it is required to find c, the measure of ACS, **supposing there to be known APB = p, BPC = p, CP ==...we have, with respect to the triangle IAP, AIB = P** + IAF-, and with regard to the triangle BIC, AIB = c + CBP. Making these two values of AIB. equal,... | |
| Charles Hutton - Mathematics - 1811
...: -it is required to find c, the measure of ACE, supposing there to be • known АРБ = p, UPC = **p, CP =: d, BC = L, AC = R. Since the exterior angle...we have, with respect to the triangle IAP, AIB = p** -f- IAP ; and with regard to the triangle BIC, AIB = с + СВР. Making thest two values of AIB equal,... | |
| John Gummere - Plane trigonometry - 1814 - 346 pages
...took the angle of elevation BAG = 26° 30'. Required the height of the tree. Calculation. 1. Because **the exterior angle of a triangle is equal to the sum of the two interior** and opposite ones, the angle BDC = DAC + ACD ; therefore ACD - BDC — DAG = 25° : now in the triangle... | |
| Olinthus Gregory - Plane trigonometry - 1816 - 244 pages
...staof the centre of 'r the sutnmit of ;Ie APB : it is re* the measure of here to be known p, ce = d,BQ **Since the exterior angle of a triangle is equal to the sum of the two interior opposite angles,** we have, with respect to the triangle IAP, AIB = P + IAP; and with regard to the triangle BIC, AIB... | |
| John Farrar - Logarithms - 1822 - 153 pages
...another distance CB = 60 feet in the same direction, and take the angle ABD = 23° 45'. Now, sinre **the exterior angle of a triangle is equal to the sum of** the interior opposite angles, we have that is 4l° — 23° 45' =17° 15'. Hence in the triangle BAC.... | |
| John Farrar - Trigonometry - 1833 - 155 pages
...measure another distance CB = 60 feet in the same direction, and take the angle ABD = 23° 45'. Now, **since the exterior angle of a triangle is equal to the sum of** the interior opposite angles, we have ACD — A&b = BAC. that is 41° — 23° 45' = 17° 15'. Hence... | |
| John Farrar - Trigonometry - 1833 - 155 pages
...measure another distance CB = 60 feet in the same direction, and take the angle ABD = 23° 45'. Now, **since the exterior angle of a triangle is equal to the sum of** the interior opposite angles, we have ACD — ABC = EAC. that is 41° — 23° 45' = 17° 15'. Hence... | |
| Education - 1836
...example, suppose it known that the angles at the base of an isosceles triangle are equal, and also that **the exterior angle of a triangle is equal to the sum of** the interior and opposite angles. Suppose it also indisputable, that if A and B be respectively double... | |
| Schoolmaster - 1836
...example, suppose it known that the angles at the base ofan isosceles triangle are equal, and also that **the exterior angle of a triangle is equal to the sum of** the interior and opposite angles. Suppose it also indisputable, that if A and B he respectively double... | |
| Scottish school-book assoc - 1845
...required to find C, the measure of ACB, supposing there to be known APB=P, BPC= p, CP=d, BC=L, AC=R. **Since the exterior angle of a triangle is equal to the sum of the two interior opposite angles,** (Geo. prop. ] 9), we have, with respect to the triangle IAP, ZAIB=ZP+UAP ; and with regard to the triangle... | |
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