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" If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Seite 90
von Robert Potts - 1868 - 410 Seiten
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The Edinburgh university calendar

Edinburgh univ - 1868 - 336 Seiten
...3. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts, are equal to twice the rectangle contained...the whole and that part, together with the square of the other part. 4. If two circles touch each other externally, the straight line which joins their...
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Report of the commissioners, Band 6

Schools inquiry commission - 1868 - 532 Seiten
...line be divided into any two parts : then the squares of the whole line and one of the parts shall be equal to twice the rectangle contained by the whole and that part together with the square of the other part. 4. The square of the difference of two numbers is equal to the sum of the squares...
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Papers for the schoolmaster, Band 4

1868 - 344 Seiten
...line be divided into an; two parts, the squares of the whole line and one of the parti are together equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either of the...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 Seiten
...THEOB. If a st. line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with a square of the other part. Cons.— 46. I., Pst. 1 and 31. I. DEM. — 43. I., AM. 2 and 6, Def. 30....
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Elements of geometry, containing the first two (third and fourth ..., Teil 1

Euclides - 1871 - 136 Seiten
...THEOREM. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by...that part together with the square on the other part. s Let AB be divided into any two parts in C. Then must sqq. on AB, BC— twice rect. AB, BC together...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 Seiten
...equivalent to the squares of 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 ; the square on AB is equivalent to the squares on AC CB, together with twice the rectangle contained...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 Seiten
...THEOREM. If a straight line be dirided into any two parts, the squaret on the whole line and on one of the parts are equal to twice the rectangle contained by...that part together with the square on the other part. l» TM Let AB be divided into any two parts in C. Then imist *qq. on AB, BC= twice rect. AB, BC together...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 Seiten
...line be divided into any two parts, the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole...that part together with the square on the other part. The propositions required for the construction and proof in this proposition are the same as in the...
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The Madras University Calendar

University of Madras - 1873 - 436 Seiten
...straight line be divided into any two parts, prove that the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained...part, together with the square on the other part. VI. From any point D in the side CA of a right-angled triangle ABC, of which C is the right-angle,...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 Seiten
...If a straight line he divided into any two part*, the squares of the wJwle line, and of one of the parts, are equal to twice the rectangle contained...the whole and that part, together with the square of the other part. Let AB be divided into any two parts in C. Then the squares of AB, BC, are equal...
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