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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. "
A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 17
av W J. Dickinson - 1879 - 36 sider
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...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 shall the square on the whole line...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...or a* = m* + 2nn + n*. That is, if a number be divided into any two parts, the square of the number is equal to the squares of the two parts together with twice the product of the two parts. From Euc. n. 4, may be deduced a proof of Euc. i. 47. In the fig. take DL...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...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. Let the straight lino AB be divided into any two parts in C ; The square On AB shall be equal to the...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...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...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876
...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
...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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The College calendar. [Continued as] The College calendar for the United ...

Scotland free church
...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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Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - 1879 - 48 sider
...numerically or geometrically ; such as that, if a line be divided into any two parts the square of the whole line is equal to the squares of the two...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 - 266 sider
...AB.BC-AC.CB+CB\ Proposition 4. Theorem. — If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...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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