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... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Junior High School Mathematics ... - Page 68
by Edson Homer Taylor, Fiske Allen - 1923

## College Algebra

Webster Wells - Algebra - 1890 - 560 pages
...are similar, as also are the triangles EOG and COD ; for, by Geometry, two triangles are similar when they have an angle of one equal to an angle of the other, and the including sides proportional. Then the figure OFEG is similar to OBDC, and hence OFEG is a parallelogram. Therefore OE represents...

## Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 524 pages
...PROPOSITION XV. Two triangles which are mutually equiangular are similar. PROPOSITION XVI. If two triangles have an angle of one equal to an angle of the other, and the side* including the equal angles proportional, the triangles are similar. PROPOSITION XVII. Two triangles...

## The American Mathematical Monthly: The Official Journal of the ..., Volume 29

Electronic journals - 1922 - 560 pages
...limit to the number of independent solutions. We can also state now this theorem: // two triangles have an angle of one equal to an angle of the other, and if in each triangle the n-th power of the side opposite is equal to the sum of the n-th powers of the...

## An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...onehalf of it. 4. The two tangents to a circle from an outside point are equal. 5. If two triangles have an angle of one equal to an angle of the other they are to each other as the product of the sides including the equal angles. 6. From the obtuse angle...

## Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 pages
...square on the median to that side. Amherst College, June, 1896. 1. Two triangles having an angle of the one equal to an angle of the other, and the including sides proportional are similar. 2. Inscribe a circle in a given triangle. 3. (1) When are two lines said to be incommensurable...

## Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 210 pages
...lines are to each other as 3 to 2. Amhcrst College, June, 1896. 1. Two triangles having an angle of the one equal to an angle of the other, and the including sides proportional are similar. 2. Inscribe a circle in a given triangle. 3. (1) When are two lines said to be incommensurable...

## Syllabus of Geometry

George Albert Wentworth - Geometry - 1896 - 68 pages
...their sides respectively proportional, they are similar. 326. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. 327. If two triangles have their sides respectively parallel, or respectively perpendicular,...

## Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 564 pages
...its other sides, an incorrect method. PROPOSITION VIII. THEOREM 308. The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including those angles. GIVEN — the triangles ADR...