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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. "
Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ... - Σελίδα 66
των Euclid, John Keill - 1733 - 397 σελίδες
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Atti Del ... Congresso Internazionale Dei Matematici ...

1909 - 605 σελίδες
...each, and also the angles contained by those 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...

Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1909 - 560 σελίδες
...which has the greater angle shall be greater than the base of the other. (Prop. 24.) 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, namely either the sides adjacent to the equal angles...

Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 304 σελίδες
...Which theorems of Chapter I are found by direct proof and which by indirect proof ? 5. If two triangles have two angles of the one equal to two angles of the other, and also any pair of corresponding sides equal, the triangles are congruent. 6. If two triangles have two...

Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 300 σελίδες
...Which theorems of Chapter 1 are found by direct proof and which by indirect proof ? 5. If two triangles have two angles of the one equal to two angles of the other, and also any pair of corresponding sides equal, the triangles are congruent. . 6. If two triangles have...

Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - 1910 - 287 σελίδες
...= Z YBC. § 100 .'. Z /I + Z 7; + ZC = 2 rt. A, by Ax. 9. p. ED 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 hut one right angle or one...

Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 286 σελίδες
...triangle is equal to the sum of the two non-adjacent interior angles. 159. COR. 4. If two triangles have two angles of the one equal to two angles of the other, the third angle of the one is equal to the third angle of the other. 160. COR. 5. Each acute angle...

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

Newfoundland Council of Higher Education - 1911 - 250 σελίδες
...point in a straight line to make an angle equal to a given angle. (6) B 2. Prove that, if two triangles have two angles of the one equal to two angles of the other, each to each, and also have a side of one equal to a side of the other, these sides being adjacent...

Journal of Education

1911 - 1334 σελίδες
...than either of the interior and opposite angles. Prove both cases of this theorem. 8. If two triangles have two angles of the one equal to two angles of the other, each to each, and any side of the first equal to the corresponding cide of the other, the triangles...

Annual Report of the Department of Education of the Province of Alberta, Τόμος 5

Alberta. Department of Education - 1911 - 226 σελίδες
...in the expansion of STANDARD VIII. GEOMETRY. !JA FIFE, BA JA SMITH, BA Values 8 1. If two triangles have two angles of the one equal to two angles of the other each to each, and one side of the first equal to the corresponding side of the other, the triangles...

Elementary Trigonometry

William Ernst Paterson - 1911 - 262 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...




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