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" The product of two sides of a triangle is equal to the product of the altitude on the third side and the diameter of the circumscribed circle. "
An Examination Manual in Plane Geometry - Page 123
by George Albert Wentworth, George Anthony Hill - 1896 - 138 pages
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Euclid simplified. Compiled from the most important French works, approved ...

John Reynell Morell - 1875 - 220 pages
...that the area of the triangle made by it with the sides of that angle is equal to a given square. 173. The product of two sides of a triangle is equal to the product of the height perpendicular to the third side, by the diameter of the circumscribed circle....
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 414 pages
...the square on AD is equal to the product of the segments of the base. Proposition 32. Theorem. 344. The product of two sides of a triangle is equal to the product of the diameter of the circumscribed circle by the perpendicular let fall upon the third side...
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Elements of Geometry, Volume 1

Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...355, I. to the triangles ABC, ADC, and BED, and combine equations thus obtained. 3«57. Exercise. — The product of two sides of a triangle is equal to the product of the diameter of the circumscribed circle and the altitude upon the third side. Hint. —...
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Elements of Geometry, Part 1

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...I. to the triangles ABC, ADC. and BED, and combine equations thus obtained. T _ " 357. Exercise. — The product of two sides of a triangle is equal to the product of the diameter of the circumscribed circle and the altitude upon the third side. Hint. —...
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 pages
...Explain what is meant by the limit of a varying magnitude, and give illustrations drawn from geometry. 3. The product of two sides of a triangle is equal to the product of the perpendicular on the third side let fall from their intersection and the diameter of...
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Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 pages
...Explain what is meant by the limit of a varying magnitude, and give illustrations drawn from geometry. 3. The product of two sides of a triangle is equal to the product of the perpendicular on the third side let fall from their intersection and the diameter of...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...CO(CZi + DE) = CD2 + CD • DE (2) and CD • DE = AD • DB. (Why ?) (3) PLANE GEOMETRY. 429. THEOREM. The product of two sides of a triangle is equal to the product of the altitude from the vertex in ivhich these sides meet and the diameter of the circumscribed...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...= cn(co + DE) =Cl?+ CD • DS (2) and CD • DK =An. DB. (Why ?) (3) PLANE GEOMETRY. 429. THEOREM. The product of two sides of a triangle is equal to the product of the altitude from the vertex in which these sides meet and the diameter of the circumscribed...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...365 and § 314. Finally use § 379. SIMILAR FIGURES PRODUCT OP TWO SIDES OF A TRIANGLE 380. THEOREM. The product of two sides of a triangle is equal to the product of the altitude from the vertex in which these sides meet and the diameter of the circumscribed...
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A Geometry Reader

Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...Prove that the external segment of a secant is less than the tangent. Proposition XXXIX. Theorem 239. The product of two sides of a triangle, is equal to the product of the diameter of the circumscribed circle by the altitude on the third side. Hints: Prove...
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