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" If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal. "
A Geometry for Beginners - Page 73
by George Anthony Hill - 1880 - 314 pages
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A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - Arithmetic - 1857 - 376 pages
...on a line 3 feet long, etc., etc. В 8. If two angles of one triangle are respectively equal to two of another triangle, then the third angle of the one is equal to the third angle of the other and the two triangles are similar. 9. In similar triangles the sides of one are proportional to the...
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The Common School Arithmetic ...

James Stewart Eaton - Arithmetic - 1868 - 356 pages
...into two equal right-angled triangles. 5. If two angles of one triangle are respectively equal to two of another triangle, then the third angle of the one is equal to the third angle of the other and the two triangles are similar. 6. In similar triangles the sides of one are proportional to the...
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Elementary Geometry, Volume 1

James Maurice Wilson - Geometry - 1868 - 132 pages
...Any two sides of a triangle are together greater than the third side . . . . . . . . ^^ THEOREM 15. If two angles of one triangle are equal respectively to two angles of another triangle, then shall the third angles of the triangles be equal . 25 THEOREM 16. If two angles and a side of one triangle...
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Lessons in Geometry: For the Use of Beginners

George Anthony Hill - Geometry - 1888 - 200 pages
...State three truths which follow immediately from what has just been proved. (1) If two angles of a triangle are equal, respectively, to two angles of another triangle, then the third angles must also be equal. For the third angle in each case is found by subtracting the sum of the...
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Lessons in Geometry: For the Use of Beginners

George Anthony Hill - Geometry - 1888 - 202 pages
...State three truths which follow immediately from what has just been proved. (1) If two angles of a triangle are equal, respectively, to two angles of another triangle, then the third angles must also be equal. For the third angle in each case is found by subtracting the sum of the...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...BC. 6. If two triangles have two angles of the one equal to two angles of the other, each to each, then the third angle of the one is equal to the third angle of the other. XVI. 1. In the figure of Prop. 2 show how to draw from the point D a straight line, so that the part...
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Elements of Geometry, Volume 1

Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...third angle may be found by taking the sum from two right angles. [what axiom appHes ?] 61. COR. III. If two angles of one triangle are equal respectively to two angles of another triangle, the third angles will be equal. [what two axioms app]y ?j 62. COR. IV. A triangle can have but one...
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Elements of Geometry, Part 1

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...third angle may be found by taking the sum from two right angles. [what axiom applies ?] 61. COR. III. If two angles of one triangle are equal respectively to two angles of another triangle, the third angles will be equal. [what two axioms apply ?] 62. COR. IV. A triangle can have but one...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...inferences. 1 . If two triangles have two angles of the one equal to two angles of the other, each to each, then the third angle of the one is equal to the third angle of the other. 2. In any right.angled triangle the two acute angles are complementary. 3. In a right.angled isosceles...
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Elements of Plane Geometry

Alan Sanders - Geometry, Modern - 1901 - 260 pages
...are known, the third can be found by subtracting their sum from two right angles. 140. COROLLARY II. If two angles of one triangle are equal respectively to two angles of another, the third angles are equal, and the triangles are mutually equiangular. 141. COROLLARY III. A triangle...
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