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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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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...decreasing. 14. 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...that part together with the square of the other part. Enunciate any subsequent proposition of Euclid in which this result is employed. 16. If four straight...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...another. 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...by the whole and that part together with the square on the other part. 4. When are circles said to touch one another ? One circle cannot touch another...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...-THEOREM. If a straight line be divided into any two parts, the squares on the wlutle 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. (References— Prop. I. 31, 34, 43, 46; II. 4, cor.) Hypothesis. — Lst the straight...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...straight line, &c. QED PROP. VII.— THEOREM. If a straight line be divided into any two parts ; tlien the squares of the whole line and of one of the parts, are equal to twice tjie rectangle contained by the whole and that part, together wM the square of the other part. (References...

Papers Read at the Royal Institute of British Architects

1863
...Proposition 7, Theorem ; It 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...that part, together with the square of the other part : Prove this by Euclid's demonstration, and also (if there be time) algebraically. 11. Proposition...

Responsions

University of Oxford - 1863
...another. 6. 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. 7. Draw a straight line perpendicular to a given straight line of an unlimited length,...

The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...whole line (AB), and of one of the parts (BC) are equal to twice the rectangle (AB, BC) contained bg the whole and that part, together with the square of the other part (AC). Upon AB describe the square AE (I. 46) and join BD. Through through G draw HGK parallel to AB...

Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...powers. Find the number of terms in the expansion of (a+b+c+d)\ 9. If a straight line be divided into any two parts, the squares of the whole line and of one...twice the rectangle contained by the whole and that pan, together with the square of the other part. Prove that the area of any right-angled triangle is...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...VII. THEOREM. 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. Let the straight line AB be divided into any two parts in the point C. Then the...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1866
...Prove that 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. Give Euclid's demonstration of this proposition ; also, prove it algebraically....




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