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" If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Σελίδα 60
των Euclid, Isaac Todhunter - 1883 - 400 σελίδες
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 σελίδες
...This may be also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line lie divided into any two parts,...line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made vp of the whole and thefirst-mentioned...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole line and one of the parts, together with the square of the other part. 5. To construct a square equal to a given rectangle. 6. If a straight line passing...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...upon the sides which contain the right angle. 6. If a straight line be divided into anу two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square of the aforesaid part....

The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 324 σελίδες
...the square of the aforesaid part. If a straight line be divided into any two parts, four times tho rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole line...

Skeleton propositions &c. of Euclid, books i and ii, with ..., Τόμος 2

Euclides - 1858
...the reetuinjle moler the ,SKW. BOOK II. 97 PROP. VIII. THEOR. If a si. line be divided into any tico parts, four times the rectangle contained by 'the whole line and one of tlie parti together with the square of the other part, is equal to the square of the st.i line which...

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

War office - 1858 - 12 σελίδες
...rectangles contained by the parts become ? 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. NATURAL SCIENCES. By MAJOR-GEN. PORTLOCK, RE, LL.D.,...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...the figures ; hence the use of k. PROP. 3. — THEOR. If a st. line be divided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the rectangle contained by the two parts together with the square of the aforesaid part....

Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 σελίδες
...line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 4. In a circle the angle in a semicircle is a right angle'. ALGEBRA. 1....

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...in the point C ; to prove that four times the rectangle AB • BC, together with the square on AC, is equal to the square on the straight line, which is made up of AB and BC together. (Const.) Produce AB to D, so that BD be equal to CB, and upon AD describe the square...

An elementary course of practical mathematics, Μέρος 1

James Elliot - 1860
...Ex. C), the altitude of the triangle being a and the base b 1 8. A st* line a being divided so that the rectangle contained by the whole line and one of the parts is equal to the square of the other part, compute the lengths of the two parts. Ans. £a ( V 5 —...




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