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" B, may be found in the same manner, for it will be the same as a fourth proportional to the three lines A, B, B. PROBLEM IIL To find a mean proportional between two given lines A and B. "
Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ... - Page 118
by James Bates Thomson - 1844 - 237 pages
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1860 - 246 pages
...have Cor. In the same manner may be found a third proportional to two given lines A and B; for this will be the same as a fourth proportional to the three lines A. B, B. AB : BD : : AC : CE (Prop. XVI., B. IV.). PROBLEM XIX. To find a mean proportional between two given...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1861 - 244 pages
...IV.). Cor. In the same manner may be found a third proportional to two given lines A and B ; for this will be the same as a fourth proportional to the three lines A, B, B, PROBLEM XIX. To find a mean proportional between two given lines, Let AB, BC be the two given straight -^ lines...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1861 - 254 pages
...IV.). Cor. In the same manner may be found a third proportional to two given lines A and B ; for this will be the same as a fourth proportional to the three lines ABB PROBLEM XIX. To find a mean proportional between two given lines. Let AB, BC be the two given straight...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 520 pages
...XVII. Cor. 1, Bk. IV.), AB: AD : : AE : AC. 328. Cor. A third proportional to two given lines, A and B, may be found in the same manner, for it will be...as a fourth proportional to the three lines, A, B, and B. PROBLEM XXVI. 329. To find a mean proportional between two given straight lines. Draw the indefinite...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 628 pages
...XVII. Cor. 1, Bk. IV.), AB: AD : : AE: AC. 328. Cor. A third proportional to two given lines, A and B, may be found in the same manner, for it will be...as a fourth proportional to the three lines, A, B, and B. PROBLEM XXVI. 329. To find a mean proportional between two given straight lines. Draw the indefinite...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 514 pages
...Cor. A third proportional to two given lines, A and B, may be found in the same manner, for it will he the same as a fourth proportional to the three lines, A, B, and B. PROBLEM XXVI. 329. To find a mean proportional between two given straight lines. Draw the indefinite...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 320 pages
...XVII. Cor. 1, Bk. IV.), AB : AD : : AE : A C. 328. Cor. A third proportional to two given lines, A and B, may be found in the same manner, for it will be...as a fourth proportional to the three lines, A, B, and B. PROBLEM XXVI. 329. To find a mean proportional between two g~iven straight lines. Draw the indefinite...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 338 pages
...XVII. Cor. 1, Bk. IV.), AB: AD : : AE : AC. 328. Cor. A third proportional to two given lines, A and B, may be found in the same manner, for it will be...as a fourth proportional to the three lines, A, B, and B. • PROBLEM XXVI. 329. To find a mean proportional between two given straight lines. Draw the...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1877 - 458 pages
...16). Cor. In the same manner may be found a third proportional to two given lines A and B, for this will be the same as a fourth proportional to the three lines A, B, B. B D PROBI.EM XIX. To find a mean proportional between two given lines. , .D Let AB, BC be the two given...
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Elements of Geometry, After Legendre, with a Selection of Geometrical ...

Charles Scott Venable - 1881 - 382 pages
...same manner may be found a third proportional to two given lines A, B, for it will be the same as the fourth proportional to the three lines A, B, B. PROBLEM...mean proportional between two given lines, A and B. 132 point E erect, on the diameter, the perpendicular EG, meeting the circumference in G ; EG will...
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