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" If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. "
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - Seite 48
von Alexander Ingram - 1799 - 351 Seiten
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 Seiten
...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 А В be divided into two parts in С ; then the square on А В = the sum of the squares on А С,...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876 - 102 Seiten
...straight line be divided into any two parts, the square on the whole line will be equal to the squares on the two parts, together with twice the rectangle contained by the parts. _& s: nr JS Let the straight line PQ be divided into any two parts in C. Then shall the square on PQ...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 Seiten
...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. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...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. 19. In an obtuse angled triangle, is the sum of the sides containing the obtuse angle greater or less...
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The College calendar. [Continued as] The College calendar for the United ...

Scotland free church - 134 Seiten
...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. 4. Parallelograms upon equal bases and between the same parallels are equal to one another. 5. Describe...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 Seiten
...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 the squares...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 Seiten
...a straight line be divided into any two parts, the square on the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. The parallelograms about the diagonal of a square are also squares. Same proposition. If a straight...
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Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - 1879 - 68 Seiten
...that, if a line be divided into any two parts the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. This proposition is one of first consequence, as having furnished the key to the extraction of the...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 Seiten
...a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the two part*. Let the straight line AB be divided into any two parts in C; then will . CB. Upon AB describe...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1486 Seiten
...a straight line be divided into any two parts, the square on the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. The parallelograms about the diagonal of a square are also squares. Same proposition. If a straight...
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