Books Books 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 ... - Page 176
by Euclid, Rev. John Allen - 1822 - 494 pages ## The Essentials of Geometry

Webster Wells - Geometry - 1899 - 395 pages
...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 - Geometry - 1899 - 384 pages
...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 - Geometry, Plane - 1899 - 256 pages
...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... ## Plane Geometry

William James Milne - Geometry, Plane - 1899 - 242 pages
...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... ## SYLLABUS OF PROPOSITIONS IN GEOMETRY

1899
...respectively equal to two angles of the other, the triangles are similar. THEOREM III. 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. THEOREM IV. If two triangles... ## Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 473 pages
...polygon. 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 us the products of the sides including the equal angles. Let the triangles ABC and ADE have the common... ## Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 218 pages
...of its bases multiplied by the altitude. 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. 412. The areas of two similar polygons are... ## The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 240 pages
...each other as the products of the sides including the supplementary angles. Ex. 540. If two triangles have an angle of one equal to an angle of the other, and a second angle of one supplementary to a second angle of the other, the sides about the third angles... ## Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 370 pages
...three given squares. PROPOSITION XV. THEOREM 369. 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. D c A' D' Hyp. In triangles ABC and A'B'C',... 