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" If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. "
The New Practical Builder and Workman's Companion, Containing a Full Display ... - Page 27
by Peter Nicholson - 1823 - 596 pages
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...angles. I. 13. From this Proposition we draw the following important inferences. 1 . // 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...
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Graded Lessons in Arithmetic, Book 8

Wilbur Fisk Nichols - 1905 - 208 pages
...a right triangle are angles. 6. Each angle of an equilateral triangle must be . 7. If two triangles have two angles of the one equal to two angles of the other, the third angles are . 8. If two right triangles have one acute angle of one equal to an acute angle...
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School Science and Mathematics, Volume 7

Education - 1907 - 880 pages
...this topic be selected as basic principles the following theorems: "Two triangles are similar If they have two angles of the one equal to two angles of the other; Two triangles are similar if they have nn angle of the one equal to an angle of the other and the including...
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School Science and Mathematics, Volume 7

Education - 1879 - 944 pages
...topic lie selected as basic principles the following theorems : "Two triangles are similar if they have two angles of the one equal to two angles of the other; Two triangles are similar If they have an angle of the one equal to an angle of the other and the including...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...COROLLARY 2. The acute angles of a right triangle are complementary. 156 COROLLARY 3. If two triangles have two angles of the one equal to 'two angles of the other, the third angles are equal. 157 COROLLARY 4. Each angle of an equilateral triangle is 60°. PROPOSITION...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...COROLLARY 2. The acute angles of a right triangle are complementary. 156 COROLLARY 3. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 157 COROLLARY 4. Each angle of an equilateral triangle is 60°. PROPOSITION...
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Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...of the other, the remaining acute angles are equal. (See 114 and 48.) 117. THEOREM. If two triangles have two angles of the one equal to two angles of the other, the third angle of the first is equal to the third angle of the second. (See 110 and Ax. 2.) 118. THEOREM....
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Calendar of the University of Sydney

University of Sydney - 1906 - 738 pages
...— (Eucm>.) 1. Any two sides of a triangle are together greater than the third. 2. If two triangles have two angles of the one equal to two angles of the other respectively and one side equal, etc. Complete this enunciation and prove the theorem. If the diagonal...
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Calendar

University of Allahabad - 1907 - 528 pages
...each, and also the angles contained by these sides equal, the triangles are congruent. If two triangles have two angles "of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent....
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...of the other, the remaining acute angles are equal. (See 114 and 48.) 117. THEOREM. If two triangles have two angles of the one equal to two angles of the other, the third angle of the first is equal to the third angle of the second. (See 110 and Ax. 2.) 118. THEOREM....
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