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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... "
The Elements of Geometry, Symbolically Arranged - Σελίδα 34
των Great Britain. Admiralty - 1846
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 σελίδες
...necessitates that BC < EF. AA It remains .'. that A > D. Proposition 26. (First Part.) THEOREM — If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the two sides adjacent to these angles equal ; then the triangles are identically equal,...

The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 414 σελίδες
...their sum, the third angle can be found by subtracting this sum from two right angles, 100. COR. 3. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 101. COR. 4. A triangle can have but one right angle, or but one obtuse...

Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 σελίδες
...angle ABC equal to P, the angle ACB equal to Q, and AX the perpendicular from A to the base 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...

The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 188 σελίδες
...the truth of Proposition 25, deduce the truth of Proposition 24. *-• Proposition 26. Part II. 104. If two triangles have two angles of the one equal to two angles of the other each to each, and the side opposite to an equal angle of the one equal to the corresponding angle of the other, then...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892 - 508 σελίδες
...the triangle, then these straight lines shall be less than the other two sides of the triangle. 20 6. If two triangles have two angles of the one equal to two angles of the other, each to each, and aside of one equal to a side of the other, these aides being adjacent to the equal angles in each;...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 σελίδες
...acute, according as AB is greater or less than AC. PROPOSITION 26. THEOREM. If two triangles have trto angles of the one equal to two angles of the other, each to each, and a side of one equal to a side of the other, these sides being either adjacent to the equal angles,...

Elementary Synthetic Geometry

George Bruce Halsted - 1896 - 208 σελίδες
...opposite angles are supplemental. 403. Theorem. Two spherical triangles, of the same sense, having two angles of the one equal to two angles of the other, the sides opposite one pair of equal angles equal, and those opposite the other pair not supplemental,...

Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 σελίδες
...many misses as B. Find the number of hits 1 00 and misses of each. GEOMETRY. Time, 2 hrs. 13 1. (a) If two triangles have two angles of the one equal...other each to each, and one side equal to one side, those sides being opposite equal angles in each, then must triangles be equal in all respects. 12 (^)...

Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 806 σελίδες
...as many misses as B. Find the number of hits *• and misses of each. GEOMETRY. Time, 3 hn. 1 . (a) If two triangles have two angles of the one equal...other each to each, and one side equal to one side, those sides being opposite equal angles in each, then must triangles be equal in all respects. (6)...

Euclid's Elements of Geometry, Βιβλία 1-6

Henry Martyn Taylor - 1893 - 486 σελίδες
...D and E be taken, such that BD, CE are equal, BE is greater than CD. 5—2 PROPOSITION 26. PART 1. If two triangles have two angles of the one equal to two angles of the other, and the side adjacent to the angles in tlie one equal to the side adjacent to the angles in the other,...




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