 If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal.  General Mathematics - Page 41by Raleigh Schorling, William David Reeve - 1922Full view - About this book
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...triangle and parallel to the third side forms a second triangle similar to the first. 272. Corollary 2. If two angles of one triangle are equal respectively to two angles of another, the triangles are similar. 273. Gunther's scale. The adjacent figure shows a diagonal scale (enlarged)... | |
 | John Charles Stone - Mathematics - 1921 - 264 pages
...known, the third angle is also known, for the sum of all three must equal 180°. So we may say that If two angles of one triangle are equal respectively to two angles of another triangle, the two triangles are similar D ^ Observing the triangles above, AC is ^ of AB, and so is DF f of DE. And... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...of a triangle is two right angles. COR. I. Each angle of an equilateral triangle is 60°. COR. II. If two angles of one triangle are equal respectively to two angles of a second triangle, the third angles are equal. COR. III. The acute angles of a right triangle are complements... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...we can prove that AB BC . whence A'B' B'C" AB BC AC Ax. 5 §205 168 §§208-212 169 209. Corollary. If two angles of one triangle are equal respectively to two angles of another, the triangles are similar. Since in each A the sum of the A is 2 rt. A (§ 65), and since two A of... | |
 | Ray Harbaugh Dotterer - Logic - 1924 - 364 pages
...1.412.—Coincidence is an evidence of equality. (Axiom.) 1.42.—The halves of equals are equal. (Axiom.) 1.5.—If two angles of one triangle are equal respectively...of another triangle, the third angle of the first is equal to the third angle of the second. 1.51.—The sum of the interior angles of a triangle is... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...equal and their corresponding sides proportional. 2. Two mutually equiangular triangles are similar. 3. If two angles of one triangle are equal respectively to two angles of another, the triangles are similar. 4. If two triangles have an angle of one equal to an angle of the other... | |
 | Raleigh Schorling, John Roscoe Clark - Mathematics - 1925 - 332 pages
...another pair of corresponding sides, and the included angles are equal. (b) Two triangles are similar if two angles of one triangle are equal respectively to two angles of another. 4. Compute the approximate square root of as many of the following numbers as you can in 5 minutes:... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...Cor. III. The sum of the acute angles of a right triangle is 90 degrees. Cor. IV. If two angles of a triangle are equal, respectively, to two angles of another triangle, the third angles are equal. Exercises Group 22 1. A boy commences the construction of a triangle with two of... | |
 | Edward Grant - History - 1974 - 890 pages
...page 200 of Friedrich Risner's edition (Basle, 1572). 8. This is justified by the proposition that if two angles of one triangle are equal respectively to two angles of a second triangle, the third angles are equal. Proposition 1.32 of Euclid's Elements is concerned with... | |
 | John G. Anderson - Shop mathematics - 1983 - 554 pages
...sides form equal ratios: f a £' JL i J* c °r 10 ~ 8 " 6 PROPOSITION 16: Two triangles are similar if two angles of one triangle are equal respectively to two angles of the other. CK Fig. 1 1-32. Similar triangles; two angles of each respectively equal. In Fig. 11-32:... | |
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