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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Plane and Solid Geometry

Isaac Newton Failor - 1906 - 431 σελίδες
...obtuse angle. 155 COROLLARY 2. The acute angles of a right triangle are complementary. 156 COROLLARY 3. If two triangles have two angles of the one equal to 'two angles of the other, the third angles are equal. 157 COROLLARY 4. Each angle of an equilateral triangle is 60°. PROPOSITION...

Plane and Solid Geometry

Isaac Newton Failor - 1906 - 440 σελίδες
...obtuse angle. 155 COROLLARY 2. The acute angles of a right triangle are complementary. 156 COROLLARY 3. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 157 COROLLARY 4. Each angle of an equilateral triangle is 60°. PROPOSITION...

Calendar

University of Allahabad - 1907 - 528 σελίδες
...other, each to each, and also the angles contained by these 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....

Plane and Solid Geometry

Edward Rutledge Robbins - 1907 - 428 σελίδες
...equal to an acute angle of the other, the remaining acute angles are equal. (See 114 and 48.) 117. THEOREM. If two triangles have two angles of the one equal to two angles of the other, the third angle of the first is equal to the third angle of the second. (See 110 and Ax. 2.) 118. THEOREM....

Horses, Horsemen and Stable-management

Godfrey Bosvile - 1908 - 316 σελίδες
...then the angle opposite to the greater side shall be greater than the angle opposite to the less. 3. If two triangles have two angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles in each equal, then shall the triangles be equal in all respects....

Calendar

University of Allahabad - 1908 - 566 σελίδες
...other, each to each, and also the angles contained by these 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....

Books 3-9

Euclid - 1908 - 456 σελίδες
...included by the proportional sides must be either equal or unequal. If they are equal, then, since the triangles have two angles of the one equal to two angles of the other, respectively, they are equiangular to one another. We have therefore only to consider the case in which...

Calendar, Μέρος 3

University of Calcutta - 1908 - 562 σελίδες
...PHANINDBALAL GANGULI, MA (^ ,, SUBENDBANATH CHATTEBJEE, MA The figures in the margin indicate full marks. 1. If two triangles have two angles of the one equal to two angles 8 of the other, each to each, and a side of one equal to a side of the other, these sides being opposite...

A School Geometry, Μέρη 1-4

Henry Sinclair Hall - 1908 - 286 σελίδες
...together equal to four right angles. 46 THEOREM 17. [Euc. I. 26.] 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, the triangles are equal in all...

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

Joseph Gregory Horner - 1909 - 560 σελίδες
...the base of that 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...other, each to each, and one side equal to one side, namely either the sides adjacent to the equal angles in each, or the sides opposite to them, then shall...




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