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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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw...
Elements of Geometry - Page 65
by Adrien Marie Legendre - 1841 - 235 pages

## Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 657 pages
...ratios AB to DE and BC to EF. Wherefore, if two triangles &c. COROLLARY. If two parallelograms have an angle of the one equal to an angle of the other, the ratio of the areas of th« parallelograms is equal to the ratio compounded of the ratios of the...

## Elements of Geometry, Plane and Solid

John Macnie - Geometry - 1895 - 374 pages
...angle B, and angle B to angle C, then the figure is a parallelogram. 73. If two parallelograms have an angle of the one equal to an angle of the other, they are mutually equiangular. 74. A parallelogram whose diagonals are equal is a rectangle. 75. A...

## Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - Geometry - 1896 - 144 pages
...increased by twice the 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...

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

Joe Garner Estill - 1896 - 210 pages
...whatever direction the chord is drawn. 6. Prove the ratio between the areas of two triangles which have an angle of the one equal to an angle of the other. Define area. 7. Define a regular polygon and prove that two regular polygons of the same number of...

## Plane Geometry

George D. Pettee - Geometry, Plane - 1896 - 253 pages
...respectively ; show that BA is perpendicular to AC. 4. Assuming that 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, prove that the bisector...

## Syllabus of Geometry

George Albert Wentworth - Geometry - 1896 - 50 pages
...trapezoid is equal to the product of the median by the altitude. 374. 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. 375. The areas of two similar...

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

Joe Garner Estill - 1896 - 186 pages
...respectively ; show that BA is perpendicular to A C. 4. Assuming that 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, prove that the bisector...

## The Elements of Geometry

Henry W. Keigwin - Geometry - 1897 - 250 pages
...intersection form a parallelogram. (Bryn Mawr, 1894.) 10. Prove that 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. Describe an isosceles triangle...