 | Thomas Lund - Geometry - 1854 - 520 pages
...given as follows :— 45. PROP. XXIII. Jf a straight line be divided into any two parts, the squares of the whole line and one of the parts are together equal to twice the rectangle contained by the whole and that part, together with the square of the other part.... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...produce CH to meet .RFin L, CL is perpendicular to BF 21. If a line be divided, as in Euc. II. 11, the squares on the whole line and one of the parts are together three times the square on the other part. 22. If in the fig. Euc. II. 11, the points F, D be joined... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...between the same parallels are equal to one another. 6. If a straight line be divided into any two parts, the squares on the whole line and one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the other... | |
 | Euclides - 1864 - 262 pages
...produce CH to meet BF in L, CL is perpendicular to BF. 21. If a line be divided, as in Euc. Il. 11, the squares on the whole line and one of the parts are together three times the square on the other part. 22. If in the fig. Euc. n. 11, the points F, D be joined... | |
 | Euclides - 1864 - 448 pages
...produce CH to meet BF in L, CL is perpendicular to BF. 21. If a line be divided, as in Euc. II. 11, the squares on the whole line and one of the parts are together three times the square on the other part. 22. If in the fig. Euc. II. 11, the points F, D be joined... | |
 | Robert Potts - 1868 - 434 pages
...produce CH to- meet BF in L, CL is perpendicular to BF. 21. If a line be divided, as in Euc. II. 11, the squares on the whole line and one of the parts are together three times the square on the other part. 22. If in the fig. Euc. II. 11, the points F, D be joined... | |
 | Euclides - 1871 - 136 pages
...from each the common part AK. Ii. 6. i.47. v BC=AB. Thus AB is divided in H as was reqd. QEP Ex. Shew that the squares on the whole line and one of the parts are equal to three times the square on the other part. In obtuse-angled triangles, if a perpendicular be... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...ThenFH=HC; that is, sq. on AH=rect. AB, BH, v BC=AB. Thus AB is divided in H as was reqd. QE p. Ex. Shew that the squares on the whole line and one of the parts are equal to three times the square on the other part. PROPOSITION XII. THEOREM. In obtuse.angled triangles,... | |
 | Bombay city, univ - 1873 - 614 pages
...contained by the whole line and one of the parts shall be equal to the square of the other part. Show that the squares on the whole line and one of the...equal to three times the square on the other part. 3. The opposite angles of a quadrilateral figure inscribed 11 in a circle are together equal to two... | |
 | Braithwaite Arnett - 1874 - 130 pages
...other part. Prove that the given straight line has also been divided so that the squares on the whole and one of the parts are together equal to three times the square on the other part. 3. Equal straight lines in a circle are equally distant from the centre. If two parallel chords AB,... | |
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L, CL is perpendicular to BF. 21. If a line be divided, as in Euc. II. 11, the squares on the whole line and one of the parts are together three times the square on the other part. 22. If in the fig. Euc. 
