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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. "
Report of the Minister of Education - Page 42
1869
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 522 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....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 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...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...
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Annual Report of the Normal, Model, Grammar, and Common Schools in Ontario ...

Ontario Chief Superintendent of Education - Education - 1869 - 450 pages
...equality ( = ) be used in geometrical reasoning ? 7. If a straight line be divided into two parts, the squares on the whole line and one of the parts are equal to twice the rectangle, &c. B. II. 7. 8. Any rectangle is the half of the rectangle contained...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

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,...
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The Bombay university calendar, Volume 1

Bombay city, univ - 1873 - 616 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...
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