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" Since the exterior angle of a triangle is equal to the sum of the two interior opposite angles (th. "
A Course of Mathematics: In Three Volumes : Composed for the Use of the ... - Page 114
by Charles Hutton - 1811
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The schoolmaster: essays on practical education, selected from the works of ...

Schoolmaster - 1836 - 926 pages
...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...
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The Schoolmaster: Essays on Practical Education, Selected from the ..., Volume 1

1836 - 502 pages
...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...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...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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Practical Astronomy and Geodesy: Including the Projections of the Sphere and ...

John Narrien - 1845 - 484 pages
...the angle s' EH is equal to twice the angle AFB or OAF, produce FB to K, and FA to M : then because the exterior angle of a triangle is equal to the sum of the interior and opposite angles (Euc. 32. 1.), the angle ABK = BAF + AFB; whence 2 ABK = 2 BAF +2...
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First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ...

Alpheus Crosby - 1847 - 190 pages
...aABC + aACB = AmL? M. .-. ACD 4- ACS xa BAG + ABC -j- ACS ? 20. a. ACD *w BAC + ABC ? XXII. A COR. Any exterior angle of a triangle is equal to the sum of the two interior opposite angles. It is of course greater than either singly. Draw CE ]| BA, and prove the same from Theor. V. Join AD...
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A complete System of Mensuration ... With many ... Additions ... by J. Trotter

Alexander Ingram - 1851 - 204 pages
...find the angle ACB. Supposing that APB = P, APC =p; CP = d; AC = C\^ - VP L, and BC = R are known. Since the exterior angle of a triangle is equal to the sum of the two interior and opposite angles ; then the angle AJB = P + IBP, and AIB is also equal to C + CAP ; hence P -f IBP...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1856 - 460 pages
...angle ACB of the triangle ACB. THEOREM vI. The exterior angle, formed ly producing one of the sides of a triangle, is equal to the sum of the two interior and opposite aaigles of the triangle. In the. triangle ABC, if the side AB be produced to D, the exterior...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1860 - 474 pages
...angle ACB of the triangle ACB. THEOREM VI. The exterior angle, formed by producing one of the sides of a triangle, is equal to the sum of the two interior and opposite angles of the triangle. In the triangle ABC, if the side AB be produced to D, the exterior...
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Navigation

James Pryde - 1867 - 506 pages
...angle of incidence, their complements are also equal ; hence L BAD = L SAF, and L DBC = L GBA. But since the exterior angle of a triangle is equal to the sum of the two interior angles, L. EBC = L ВАС + L. ACB = L. BAD + L DAG + L ACB = L. BAD + L SAF + L ACB = 2 L BAD + L...
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An Elementary Course of Plane Geometry

Richard Wormell - 1868 - 286 pages
...It follows that in a right-angled triangle two angles are acute, and their sum is a rightangle. 127. The exterior angle of a triangle is equal to the sum of the interior and opposite angles. F'g- 1°3- When the side of a triangle is produced, the new angle...
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