| 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 - 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... | |
| 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... | |
| 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... | |
| 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 - 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... | |
| 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... | |
| 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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