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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... "
The Elements of Geometry, Symbolically Arranged - Σελίδα 63
των Great Britain. Admiralty - 1846
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 σελίδες
...the same base and on the same side of it, are between the same parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together...

Report of the Committee of Council on Education (England and Wales ..., Τεύχος 2

Great Britain. Council on Education - 1848 - 596 σελίδες
...the same base, and on the same side of it, are between the same parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and one of the parts, are equal to twice the rectangle contained by the whole and that part, together with...

Minutes of the Committee of Council on Education, Τόμος 1

Great Britain. Committee on Education - 1850 - 790 σελίδες
...the squares of the two parts, together with twice the rectangle contained hy the parts. 2. Show that if a straight line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole and that part together with...

Papers for the Schoolmaster, Τόμος 1

1851 - 268 σελίδες
...angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be divided into any two parts,...part, together with the square of the other part. SECTION II. 1. If in a circle two straight lines cut one another, which do not both pass through the...

Papers for the schoolmaster, Τόμοι 1-6

582 σελίδες
...Student*. 1. Parallelograms upon the same base and between the same parallels are equal to one another, 2. If a straight line be divided into any two parts, the squares of the whol« line, and of one of the parts, are equal to twice the rectangle contained by the whole and that...

The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 σελίδες
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. If a straight line be divided into any two parts,...together with the square of the other part. Let the straight line AB be divided into any two parts in the point C; the squares of AB, BC are equal to twice...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...of CB, is equal to the square of CD. Wherefore if a straight line, &c. QED PROPOSITION VII. THEOR. If a straight line be divided into any two parts,...together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to...

Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 554 σελίδες
...angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be divided into any two parts,...part, together with the square of the other part. Section 2. 1. If in a circle two straight lines cut one another, which do not both pass through the...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...d Wherefore, if a straight line, &c. QED PROPOSITION VII. — THEOREM. If a straight Une be dvmded into any two parts, the squares of the whole line,...together with the square of the other part. LET the straight line ab be divided into any two parts in the point С ; the squares of ab, b С are equal...




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