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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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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - 1894 - 138 σελίδες
...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...

Elements of Geometry: Plane and Solid

John Macnie - 1895 - 374 σελίδες
...rect. A E- (AB+ EBy^T? — Elf. PROPOSITION VIII. THEOREM. 341. Triangles that have an angle of the one equal to an angle of the other, are to each other as the rectangles contained by the sides including those angles. AD c A, D, a' Given: Two triangles,...

Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 σελίδες
...sides by one of 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 and ABC placed so...

Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - 1896
...sides by one of its other sides, an incorrect method. PROPOSITION VIII. THEOREM 398. 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 ADE and ABC placed so...

Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 161 σελίδες
...point on the circumference, is twelve units. Find the diameter of the circle. 5. Two triangles having an angle of one equal to an angle of the other are to each other as the product of the sides including the equal angles. 6. Find the ratio of the radius of a circle...

Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 144 σελίδες
...point on the circumference, is twelve units. Find the diameter of the circle. 5. Two triangles having an angle of one equal to an angle of the other are to each other as the product of the sides including the equal angles. 6. Find the ratio of the radius of a circle...

Plane Geometry

George D. Pettee - 1896 - 253 σελίδες
...of the triangles formed by the perpendicular ? PROPOSITION VIII 255. 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 the equal angles. Appl. Cons. Dem. Prove ABC = AB x AC ADE AD...

Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 161 σελίδες
...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 of an angle of a triangle...

Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - 1896
...Hint. — Combine §135 with the above proposition. PROPOSITION VIII. THEOREM 3f)8. The areas of two triangles which have an angle of one equal to an angle of thc other are to each other as the products of the sides including those angles. GIVEN—the triangles...

Syllabus of Geometry

George Albert Wentworth - 1896 - 50 σελίδες
...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 triangles are...




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