 | John Keill - Logarithms - 1723 - 444 pages
...at the Bafe will be half Right Angles. Coroll, f. Any Angle in an Equilateral Triangle is equal to one Third of two Right Angles, or two Thirds of one Right Angle. THEOREM I. All .the inward Angles of any Right-lin'd Figure wharfoever, make twice as many Right Angles,... | |
 | Euclid, John Keill - Geometry - 1733 - 444 pages
...at the Bafe will be half Right Angles. Coroll. 5. Any Angle in an Equilateral Triangle is equal to one Third of two Right Angles, or two Thirds of one Right Angle. THEOREM I. All the inward Angles of any Right-lined Figure whatfoever, make twice as many Right Angles,... | |
 | Euclid - Geometry - 1776 - 318 pages
...one, each of the other angles will be half a right one. ^ 5. Any angle in an ^equilateral triangle is one third of two right angles, or two thirds of one right angle. 6. If one angle of a triangle be equal to the other two, that angle is a right one ; for, if the fide... | |
 | Euclid - Geometry - 1776 - 326 pages
...right one, each of the other angles will be half a right one. 5. Any angle in an lequilateral triangle is one third of two right angles, or two thirds of one right angle. 6. If one angle of a triangle be equal to the other two, that angle is a right one ; for, if the fide... | |
 | Charles Hutton - Mathematics - 1811 - 404 pages
...measure of ACE, supposing there to be • known АРБ = p, UPC = 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 (th. 16 Geom.), we have, with respect to the triangle IAP, AIB = p... | |
 | Charles Hutton - Mathematics - 1812 - 624 pages
...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 a triangle is equal to the sum of the two interior opposite angles (th. 1 6 Geom.), we have, •with respect to the triangle IAP, AIB... | |
 | John Gummere - Surveying - 1814 - 398 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°... | |
 | Olinthus Gregory - Plane trigonometry - 1816 - 278 pages
...the measure of ACB, supposing there to be known c , APB = P, BPC = p, CP = d, BC = -LI AC = B. 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 = i> + IAP; and with... | |
 | William Jillard Hort - 1822 - 308 pages
...two lesser angles of every triangle are acute. 5. Any angle in an equilateral triangle is equal to one third of two right angles, or two thirds of one right angle. PROBLEM. Upon a given finite right line, to describe an equilateral triangle. Let AB be the given right... | |
 | John Farrar - Logarithms - 1822 - 270 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.... | |
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The exterior angle of a triangle is equal to the sum of the two opposite interior angles. 
