| Charles Hutton - 1812 - 632 pages
...angle APB : it is required to find c, the measure of ACB, supposing there to be known APB = r, BPC =fi, **CP = d, BC = L, AC = R. Since the exterior angle of...to the sum of the two interior opposite angles (th.** 1 6 Geom.), we have, •with respect to the triangle IAP, AIB = P+IAP; and with regard to the triangle... | |
| John Gummere - 1814 - 390 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... | |
| Charles Hutton - 1816 - 618 pages
...required to find c, the measure of AC B, supposing there lobe known APB = p, BPC = /i, CP = d, BC =: i., **AC = R. Since the exterior angle of a triangle is...equal to the sum of the two interior opposite angles** (tli. 16 Geom.), we have, with respect to the triangle IAP- AIB = P + IAP 5 and with regard to the... | |
| Olinthus Gregory - 1816 - 276 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... | |
| Charles Hutton - 1818 - 686 pages
...it is required to find c, the measure of ACB, supposing there to be knOWn AFB = P, BPC = p, CP = (/, **BC = L, AC = R. Since the exterior angle of a triangle...the two interior opposite angles (th 16 Geom.), we** hare. with respect to the triangle IAP, AIB = p -f- IAP ; and with regard to the triangle BIO, AIB... | |
| John Farrar - 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.... | |
| Charles Hutton - 1826
...required to find c, ihc measure of ACS, supposing there to be known APB =r P, BPC=/>, cp=d, BC=L, AC=R. **Since the exterior angle of a triangle is equal to...Geom.). we have, with respect to the triangle IAP, AIB** = p-fiAp ; and with regard to the triangle BIC, AIB=C-}-CBP. Making these two values of AIB equal,... | |
| Charles Hutton - 1831 - 654 pages
...instrument, or the summit of the observed angle APB : it is required to find c, the measure of ACB, **supposing there to be known APB = P, BPC = p, CP =...we have, with respect to the triangle IAP, AIB = P** + IAP ; and with regard to the triangle BIC, AIB = c + CBP. Making these two values of AIB equal, and... | |
| John Farrar - 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... | |
| John Farrar - 1833 - 272 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... | |
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