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Βιβλία Βιβλία 1 - 10 από 18 για B, may be found in the same manner, for it will be the same as a fourth proportional....
" 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 ... - Σελίδα 118
των James Bates Thomson - 1844 - 237 σελίδες
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 367 σελίδες
...DX will be the fourth proportional required : for since BX is parallel to AC, we have the proportion DA : DB : : DC : DX ; now the three first terms of...proportional to the three lines A, B, B. PROBLEM III. Tofind a mean proportional between two given lines A and B. Upon the indefinite line DF, take DE=A,...

Elements of Geometry: With Notes

John Radford Young - 1827 - 208 σελίδες
...same construction serves for finding a third proportional to two given lines, as A and B ; this being the same . as a fourth proportional to the three lines A, B, B. D, PROPOSITION IV. PROBLEM. To divide a given straight line AB into parts proportional to given lines....

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 316 σελίδες
...BX is parallel to AC, we have the proportion DA : DB : : DC : DX ; now the three first terms of this proportion are equal to the three given lines ; consequently DX is the fourth proportional required. 238. Cor. A third proportional to two given lines A, B, may be found in the same manner, for it will...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 σελίδες
...BX is parallel to AC, we have the proportion DA : DB : : DC : DX ; now the first three terms of this proportion are equal to the three given lines : consequently...found in the same manner, for it will be the same as a fourthproportional to the three lines A, B, B. tv PROBLEM III. To find a mean proportional between...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1839 - 359 σελίδες
...BX is parallel to AC, we have the proportion DA : DB : : DC : DX ; now the first three terms of this proportion are equal to the three given lines : consequently...fourth proportional to the three lines A, B, B. PROBLEM IIL To find a mean proportional between two given lines A and B. Upon the indefinite line DF, take...

Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

1845
...since BX is parallel to AC, we have the proportion DA : DB::DC : DX; now the first three terms of this proportion are equal to the three given lines; consequently...fourth proportional to the three lines A, B, B. PROBLEM IV. To find a mean proportional between two given lines A and B. Upon the indefinite line DF, take...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 σελίδες
...have D 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, BB AB : BD : : AC : CE (Prop. XVI., B. IV.). PROBLEM XIX. To find a mean proportional between two given...

ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...proportion (P, 15, c. 1), DA : DB :: DC : DX; 124 Cor. A third proportional to two given lines, J., .5, may be found in the same manner, for it will be the...to the three lines, A, B, B. PROBLEM III. To find & mean proportional between tw» given lines A and B. Upon the indefinite line DP, take DE=^A, and...

Elements of Geometry and Trigonometry: From the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1854 - 432 σελίδες
...to AC, we have the proportion (p. 15, c. 1), DA : DB : : DC : DX; now, the first three terms of this proportion are equal to the three given lines : consequently, DX is the fourth proportional required. 124 GEOMETRY. Cor. A third proportional to two given lines, A, B, may be found in the same manner,...

Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 σελίδες
...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, BB D PROBLEM XIX. To find a mean proportional between two given lines. Let AB, BC be the two given...




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