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" If two triangles have an angle of one equal to an angle of the other... "
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Σελίδα 172
των Euclid, Rev. John Allen - 1822 - 494 σελίδες
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The Elements of Geometry

Henry W. Keigwin - 1897 - 227 σελίδες
....'. a : x : : b : y : : c : z. .'. the triangles 1 and 2 are similar. 240. COR. 1. If two triangles have an angle of one equal to an angle of the other, and the sides including these angles proportional, the triangles are similar. 241. COR. 2. If two triangles...

The Essentials of Geometry (plane)

Webster Wells - 1898 - 242 σελίδες
...of a rectangle whose area is 108, and perimeter 52. PROP. VIII. THEOREM. 321. Two triangles having an angle of one equal to an angle of the other, are to each other as the products of the sides including the equal angles. A Given Z A common to A ABC and ABC'. To Prove...

Yale University Entrance Examinations in Mathematics: 1884 to 1898

1898 - 208 σελίδες
...point B, and prove the construction correct. 5. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including those angles. (B) 1. The shadow cast on level ground by a church...

Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898
...latter are commensurable and incommensurable. 4. The areas of two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. 5. Given a square the length of whose side...

The Essentials of Geometry (plane)

Webster Wells - 1898 - 242 σελίδες
...the tests of similarity is satisfied. PROP. XVII. THEOREM. 261. Two triangles are similar when they have an angle of one equal to an angle of the other, and the sides including these angles proportional. B -- fc Given, in &ABC and A' BC', To Prove A ABC...

Plane and Solid Geometry

James Howard Gore - 1898 - 210 σελίδες
...an acute angle of one equal to an acute angle of the other. 2. Two triangles are similar when they have an angle of one equal to an angle of the other, and the sides including these angles proportional. 3. Two triangles are similar when the sides of one...

Plane and Solid Geometry

William James Milne - 1899 - 384 σελίδες
...the ratio of the products of the sides that include their equal angles? Theorem. Two triangles having an angle of one equal to an angle of the other are to each other as the products of the sides including tlie equal angles. Data: Any two triangles, as ABC and DEC,...

The Essentials of Geometry

Webster Wells - 1899 - 395 σελίδες
...the tests of similarity is satisfied. PROP. XVII. THEOREM. 261. Two triangles are similar when they have an angle of one equal to an angle of the other, and the sides including these angles proportional. A C B' Given, in A ABC and A'B'C', AC PBOP. XVIII....

Plane and Solid Geometry

William James Milne - 1899 - 384 σελίδες
...to their altitudes. § 336 c. To the products of their bases by their altitudes. § 336 d. If they have an angle of one equal to an angle of the other, to the products of the sides including the equal angles. § 340 e. If they are similar triangles, to...

Plane Geometry

George Albert Wentworth - 1899 - 256 σελίδες
...AREAS OF POLYGONS. PROPOSITION VII. THEOREM. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Let the triangles ABC and ADE have the common...




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