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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 John Keill - 1733 - 397 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 σελίδες
...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...

Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 σελίδες
...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 First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 167 σελίδες
...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...

Elementary Synthetic Geometry

George Bruce Halsted - 1896 - 164 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,...

Euclid's Elements of Geometry, Βιβλία 1-6

Henry Martyn Taylor - 1893 - 504 σελίδες
...be at right angles to the base, the triangle is isosceles. PROPOSITION 26. PART 2. If two triangles have two angles of the one equal to two angles of the other, and the sides opposite to a pair of equal angles equal, the triangles are equal in all respects. Let ABC, DBF...

Annual Report of the Department of Education

New Brunswick. Department of Education - 1893
...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 to two angles of the other each to each, and one side equal to one side, those sides being opposite equal angles in each, then...

Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1893
...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 to two angles of the other each to each, and one side equal to one side, those sides being opposite equal angles in each, then...

Annual Report of the Chief Superintendent of Education

1894
...as B. Find the number of hits and misses of each. GEOMETRY. Time, 2 hrs. 13 1. (a) 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, those sides being opposite equal angles in each, then...

Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894
...through P a straight line intersecting AB, AC in D, E, so that AD may equal AE. (10.) 8. If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the sides which are adjacent to these angles equal, show that the triangles...

Plane and Spherical Trigonometry

Alfred Hix Welsh - 1894 - 206 σελίδες
...greater — the half sum. = BCD, since BD = BC; = AEB = CEF. PLANE. Hence, the triangles ADF and CEF have two angles of the one equal to two angles of the other, eacl1 to each, and are therefore similar, since their third angles Л FD and EFC must be equal. But,...




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