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" If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. "
Vectors and Rotors: With Applications - Page 8
by Olaus Henrici, George Charles Turner - 1903 - 204 pages
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General Report on Public Instruction in the Bengal Presidency

Education - 1863 - 818 pages
...third. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Entrance Examination. 6. Describe a square that shall be equal to a given triangle. 7. (a) Equal chords...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Given the straight line AB divided into any two parts in C ; to prove that the square on AB is equal...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. let the straight line AB be divided into any two parts in C. Then the square on AB shall be equal to...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...angles. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. 3. If in a circle straight lines cut one another which do not both pass through the centre, they do...
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Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...other. 10. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 11. If from the ends of the side of a triangle there be drawn two straight lines to a point...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C. Then the square on AB shall be equal to...
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The Calcutta University Calendar

University of Calcutta - 1864 - 388 pages
...third. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. To what algebraical proposition is this equivalent ? 6. Describe a square that shall be equal to a...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...THEOREM. If a straight line be divided into any two parts, the square on the whole line. is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts at the point C: the square on AB...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 304 pages
...sum and the difference. II. If a line be divided into two parts, the square on the whole is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let AB (fig. 144) be divided in C ; then the square on AB = the sum of the squares on AC, CB, together...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...segments of AC. If a straight line be divided into any two parts, the square mi the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. Or X Let the St. line AH be divided into any two parts in C. Then must sq. on AB = sum ofsqq. on AC,...
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