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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.
The Elements of Euclid, containing the first six books, with a selection of ... - Σελίδα 23
των Euclides - 1874
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## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1911 - 216 σελίδες
...theorem, and enunciate the theorem of which it is the converse. 3. If two triangles have two tingles 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....

## Elementary Trigonometry

William Ernst Paterson - 1911 - 266 σελίδες
...the other ; or (6) three sides of the one equal to three sides of the other, each to each ; or (e) two angles of the one equal to two angles of the other, * For proofs see Warren's Experimental and Tlteoretical Geometry (Clarendon Press), or any standard...

## The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 σελίδες
...convex polygon are produced in order, the sum of the angles so formed is equal to four right angles. 8. 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....

## The Calendar

University of South Africa - 1913 - 768 σελίδες
...sides of the other, and also the angles contained by thesa 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....

## Calendar

University of Allahabad - 1913 - 692 σελίδες
...other, each to each, and also the angles contained by these sides equal, the triangles are congruent. Tf 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....

## Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1913 - 228 σελίδες
...a given finite straight line, and prove your construction. (7) B 2. Prove that two triangles which have two angles of the one equal to two angles of the other, each to each, and also have a side of the one equal to a side of the other, these sides being adjacent to the equal angles,...

## Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - 1913 - 500 σελίδες
...But ZA=Z.XBY, §102 and ZC = Z YBC. § 100 .'.Z.4+Z£ + ZC = 2rt.^, by Ax. 9. QED 108. COROLLARY 1. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 109. COROLLARY 2. In a triangle there can be but one right angle or one...

## Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - 1913 - 491 σελίδες
...ZA = Z.XBY, §102 and ZC = Z. YBC. § 100 /. Z.A+ZB + ZC = 2 rt. A, by Ax. 9. QED 108. COROLLARY 1. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 109. COROLLARY 2. In a triangle there can be but one right angle or one...

## The Dublin University Calendar, Τόμος 1

Trinity College (Dublin, Ireland) - 1913 - 568 σελίδες
...pentagon. 2. Describe four circles whose areas are in the same proportion as tie numbers i, 2, 3, 53. Two triangles have two angles of the one equal to two angles of the other ; if a side of one he equal to a side of the other similarly situated with respect to those angles,...

## Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1914 - 226 σελίδες
...greater side is greater than the angle opposite to the less. (10) 3. If two triangles have two angles of one equal to two angles of the other, each to each, and any side of the first equal to the corresponding side of the other, prove that the triangles are equal...