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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. "
Elements of Plane Geometry - Page 64
by Thomas Hunter - 1878 - 132 pages
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...BC,PQ + rectangle BC, QC. Hence, if a straight line be divided into cuiy number of parts, the square on the whole line is equal to the sum of the rectangles contained by the whole line and the several parts. COR. 2. If A be = one of the parts of the divided line, as BP, then the rectangle...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...tho rectangle under the extreme segments. • 11. If a straight line be divided into any number of parts, the square of the whole line is equal to the sum of the squares of tho parts, together with twice the rectangles of the parts taken two and two together. 12....
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...= AC.CB, CE= CB\ 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 parts, together with twice the rectangle contained by the two part*. Let the straight...
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Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - Geometry - 1879 - 70 pages
...which maybe developed either 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 parts, together with twice the rectangle contained by the parts. This proposition...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...2798950 9178 9406 9634 9862 o090 o317 o545 o773 Tool 228 1. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the parts and to twice the rectangle contained by the parts. Write down the corresponding...
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...expresses the distributive law in multiplication. . THEOREM II. 288. If a straight line be made up of two parts, the square of the whole line is equal to the sum of the squares of the tioo parts plus twice the rectangle contained by the parts. M 1 d b P parts AP...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...the other side of the base shall be equal to one another. 3. 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. 4. If two triangles...
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Entrance scholarships examination, 1883-4

London univ, Middlesex hosp. med. sch - 1884 - 28 pages
...gives its diagonal. 9. — Triangles on the same base and between the same parallels are equal. 10. — If a straight line be divided into two parts, the square of the whole line, minus twice the rectangle contained by the parts, is equal to the sum of the squares of the parts....
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...the rectangle AC, CB, together with the square of BC. IV. — 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 "tarts. *Let AB be divided...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...THEOREM. If a straight line be divided internally into any two segments, the square on the straight line is equal to the sum of the rectangles contained by the straight line and the two segments. DFE Let AB bo divided internally into any two segments AC, CB:...
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