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" AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. "
A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV. - Página 162
por Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...this proposition may be thus stated, and prove that the equation is true. PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 1. Let AB be the given...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...angles. 2. Parallelograms -on equal bases, and between the same parallels, are equal to one another. 3. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. If on the larger of the...
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Pure mathematics, Volumen1

Edward Atkins - 1874
...of the squares on AC and CD. Therefore, if a straight line, &c. QED Proposition 11. — Problem. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Let AB be the given...
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Examination Christmas,1875

Education Department,London - 1876
...described will be equal to the sum of all the others so described with twice the original square. 3. To divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. If the constructed figure...
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The Madras University Calendar, Volumen1

University of Madras - 1876
...of an isosceles triangle is less than that of any other equal triangle upon the same base. III. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. IV. (a) If from any...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 páginas
...sum of their squares will be equal to the sum of the squares of the segments of the diameter. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on .the other part. Solve the problem algebraically....
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...equal to the squares on the two parts, together with twice the rectangle contained by the parts. 2. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part. 3. If the diagonals...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 páginas
...of the squares on AC and CD. Therefore, if a straight line, &c. QED Proposition 11. — Problem. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Let AB be the given...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...cannot touch another on the inside in more points than one. Euclid, Book in., Prop. 13. 3. Divide a straight line into two parts, so that the rectangle contained by them may equal the square of the difference. Let AB (fig. 19) be the given straight line; upon it describe a...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 413 páginas
...and prove that cos -' — 1 + n2 also that vers A_a (a + c — 6) vers B b (b + ca)' LIIL 1. Divide a straight line into two parts, so that the rectangle contained by them may equal the square of the difference. 2. Describe a circle — (1.) Passing through three given points,...
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