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" If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular. "
Elements of Geometry and Trigonometry: With Notes - Page 243
by Adrien Marie Legendre - 1830 - 316 pages
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 pages
...II. A triangle cannot have more than one right angle, nor more than one obtuse angle. 113. Cor. III. If two angles of one triangle are equal to two angles of another, the third angles are equal. 114. Cor. IV. Two right triangles are equal, if a side and an acute angle of one...
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Euclid, His Life and System

Thomas Smith (D.D.) - Euclid's Elements - 1902 - 244 pages
...function given above is therefore reduced to this other function, C=/(A, B). "This function," he says, "already proves that if two angles of one triangle...two angles of another, the third angle of the former is equal to the third of the latter ; and this granted, it is easy to arrive at the theorem we have...
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First-year Mathematics for Secondary Schools

George William Myers - Mathematics - 1909 - 394 pages
...246 о F1G. 247 В Э О F1G. 248 21. In Fig. 248, w=w', x=x'. Show that AO is perpendicular to B C. If two angles of one triangle are equal to two angles of another, the third angle of the first triangle is equal to the third angle of the second. Exterior Angles of Polygons 279. If one side...
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First-year Mathematics for Secondary Schools

George William Myers, William Rockwell Wickes, Ernst Rudolph Breslich, Ernest Leroy Caldwell, Harris Franklin MacNeish, Ernest August Wreidt - 1909 - 388 pages
...FIG. 246 FIG. 247 в о о FIG. 248 21. In Fig. 248, w=wr, x=x'. Show that AO is perpendicular to B C. If two angles of one triangle are equal to two angles of another, the third angle of the first triangle is equal to the third angle of the second. Exterior Angles of Polygons 279. If one side...
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Second-year Mathematics for Secondary Schools, Volume 2

George William Myers - Mathematics - 1910 - 304 pages
...and 98° (7) 4and-B (n) aandi+c (4) 37|°and123i° (8) /I / 5 and 5/8 (12) — and^t^. JJ 11. Prove, if two angles of one triangle are equal to two angles of another, the third angles are equal, and the triangles are mutually equiangular. 12. Prove, that an exterior angle of...
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Field and Colliery Surveying: A Primer Designed for the Use of Students of ...

Thomas Aloysius O'Donahue - Mine surveying - 1911 - 288 pages
...c. H Fio. 38. FIG. 39. of a triangle are equal, the sides opposite to them will also be equal. VII. If two angles of one triangle are equal to two angles of another triangle, each to each, and the sides adjacent or opposite to the two angles of the other be also equal,...
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First Book in General Mathematics

Mathematics - 1917 - 284 pages
...theorem may also be stated as follows: The sum of the three angles of a triangle is 2 rt. angles. 80c. // two angles of one triangle are equal to two angles of another, then the third angle of the first triangle equals the third angle of the second. Proof: For the third...
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Junior High School Mathematics: First [-third] Course, Volume 3

William Ledley Vosburgh, William Frederick Gentleman - Mathematics - 1919 - 328 pages
...ZA=35°; Zß=? The two acute angles of a right triangle are complementary. Why? д. Fia. 117. 2. Prove that if two angles of one triangle are equal to two angles of a second triangle, the third angles are also equal. 3. If two right triangles have the hypotenuse and...
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Junior High School Mathematics, Book 2

Edson Homer Taylor, Fiske Allen - Mathematics - 1919 - 278 pages
...shown to prove that the triangles are similar? Are they similar? This illustrates the Principle. // two angles of one triangle are equal to two angles of another, the two triangles are similar. Exercise 42 1. Read the corresponding sides and the corresponding angles...
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Junior High School Mathematics ...

Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...distances from the foot of the perpendicular, are equal and make equal angles with the perpendicular. 20. If two angles of one triangle are equal to two angles of another triangle respectively, then the third angle of the first is equal to the third angle of the second....
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