Books Books
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

## Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 394 pages
...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 - Euclid's Elements - 1827 - 228 pages
...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 - Geometry - 1828 - 346 pages
...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 - Geometry - 1836 - 394 pages
...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 - Geometry - 1839 - 372 pages
...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 ...

Nathan Scholfield - 1845 - 896 pages
...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 - Conic sections - 1849 - 252 pages
...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

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...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...