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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... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Σελίδα 52
των John Playfair - 1837 - 318 σελίδες
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...with the square of CB, is equal to the square of CD. VII. — If a straight line be divided into any two parts, the squares of the whole line, and of one...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 to twice the rectangle...

Yale Examination Papers

F. B. Stevens - 1884 - 175 σελίδες
...rectilineal angle. 3. 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...the whole and that part, together with the square on the other part. (LEGEND KE.) 1. If two sides of a quadrilateral are equal and parallel, the figure...

Calendar of Dalhousie College and University

Dalhousie University - 1884
...parts, the squares of the whole line and one of the parts are together equal to twice the rectangle of the whole and that part, together with the square of the other part. Shew also that {a — t)2 — a" 4- *2 — 2 <*& i® the algebraic eqivalent of the proposition. 2....

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...acute-angled. ó. 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...the whole and that part, together with the square on the other part. Enunciate any other proposition of the second book in which this theorem is used....

The Practical Teacher, Τόμος 4

1885
...Prop. 44. 2. 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 the whole and that pan, together with the square on the other. Euclid, Book II.,Prop. 7. 3. To find a point at a given...

THE ELEMENTS OF GEOMETRY.

GEORGE BRUCE HALSTED - 1885
...zab + b2 = 2a(a + &) + &*. By the commutative law, 2a(a + K) + <52 = 2(0 + £)a + &*, Therefore 105 rectangle contained by the whole and that part, together with the square on the other part. a> 300. By the commutative and distributive laws, and 294, 4(a + b)a -fb* = 4#2...

Senate Documents, Otherwise Publ. as Public Documents and Executive ..., Τόμος 3

United States. Congress. Senate - 1880
...a straight line be divided into two parts, the squares of the whole line, and "f one of the parte, are equal to twice the rectangle contained by the whole and that I*"! together with the square of the other part. '• To draw a straight line from a given point, either...

Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886
...27. Show that if a straight line be divided into any two parts, the squares on the ivhole line and on one of the parts are equal to twice the rectangle contained by the whole line and that part together with the square on the other part. Let ABC be a triangle having a right...

The Elements of Geometry

George Bruce Halsted - 1886 - 366 σελίδες
...the commutative law, 2a(a + 6) + P = a(a + b)a + P, .-. (a + i>Y + a* = 2(0 + 6)a + 6*. Therefore 105 rectangle contained by the whole and that part, together with the square on the other part. 300. By the commutative and distributive laws, and 294, 4(a + t)a + 6* = 4** + yib...

Calendar of Dalhousie College and University

Dalhousie University - 1887
...one another. \ 4. If a straight line be divided into two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. 5. Hence give a Geometrical proof of the algebraic proposition, a2 + 'r>2ai, a and...




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