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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. either the sides adjacent to the equal... "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Σελίδα 27
των John Playfair - 1795 - 400 σελίδες
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 σελίδες
...EDF. And it has been proved that the angle BAC is not equal to the angle EDF. PROPOSITION 26. THEOREM 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 side which is adjacent to the angles that are equal, or...

New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - 1899 - 252 σελίδες
...mean proportional between EF and EG. PROPOSITION XVII. 263. Theorem. Two triangles are similar if they have two angles of the one equal to two angles of the other, respectively. 0 A> A, Given the & A&d, A 2 B 2 d, with ZA 1 = ZA l , Zd = ZC 2 . To prove that A A...

Annual Report of the Commissioners ..., Τόμος 65

1899
...it from the opposite angle. 6. Two triangles are equal in every respect if they have two angles of one equal to two angles of the other, each to each, and a side of 'OIK equal to the side of the other similarly placed with respect to the equal angles. B....

Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1899
...that AC is at right angles to the other diagonal BD. (12.) 8. If two triangles have two angles of tho one equal to two angles of the other, each to each, and the side adjacent to the angles in the one equal to the side adjacent to the angles in the other, show...

Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900
...point without, it. Why must the length of the given straight line be supposed to be unlimited ? 4. If two triangles have two angles of the one equal to two angles of the other each to each, and one side of the one equal to one side of the other, the equal sides being opposite to equal angles in each...

Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 531 σελίδες
...EXAMINATION, 1899. EUCLID. 1. Define a plane angle, a rhombus, and similar segments of circles. 2. If two triangles have two angles of the one equal to two angles of the other each to each, and the sides opposite to one of the equal angles in each equal, then the triangles are equal in all respects....

Sessional Papers, Τόμος 22,Μέρος 2

Great Britain. Parliament. House of Commons - 1900
...EXAMINATION, 1899. EUCLID. 1. Define a plane angle, a rhombus, and similar segments of circles. 2. If two triangles have two angles of the one equal to two angles of the other each to each, and the sides opposite to one of the equal angles in each equal, then the triangles are equal in all respects....

A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Βιβλίο 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 σελίδες
...equal to two right angles. QED From this Proposition we draw the following important 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...

Calendar

University of Sydney - 1902
...out the axioms specifically relating to straight lines, right angles and parallel straight lines. 2. 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, &c. Complete this enunciation, and prove the proposition. 3. Equal triangles...

Manual

1903
...exactly half way between A and B. Find the distance from A to B. GEOMETRY. Time: two hours. 1. Show that 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 side of the other, then the triangles are equal in...




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