 | 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... | |
 | 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... | |
 | 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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 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... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 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... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 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... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 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... | |
 | Elias Loomis - Conic sections - 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... | |
 | Charles Scott Venable - 1881 - 380 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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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. 
