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" If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. "
The student's guide to the University of Durham, with information respecting ... - Página 136
1880 - 144 páginas
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...the third. 5. Triangles upon the same base and between the same parallels are equal to one another. 6. If the square described upon one of the sides of...contained by the two parts, together with the square of the aforesaid part. 8. Divide a given straight line into two parts, so that the rectangle contained...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...AB, BC is equal to the square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts,...parts, is equal to the rectangle contained by the two varts, together with the square on the aforesaid part, Let the straight line AS be divided into any...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...AC, together with the rectangle AB • BC, is equal to the square on AB. PEOPOSITION III. THEOBEM. If a straight line be divided into any two parts,...by the whole and one of the parts is equal to the square on that part, together with the rectangle contained by the two parts. Given the straight line...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 páginas
...described on the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line be divided into any two parts,...parts, together with the square on the aforesaid part. VOLUNTARY PORTION. 2. From a given straight line to cut off any part required. Define the meaning of...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...the square on AB. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 3.— THEOREM. If a straight line be divided into any two parts,...by the whole and one of the parts, is equal to the square on that part, together with the rectangle contained by the two parts. (References— Prop. I....
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...straight line be divided into any two parts ; then the rectangle contained by the whole and one of Ihe parts is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. (References— Prop. i. 31, 46.) Let the straight line AB be divided into any...
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Responsions

University of Oxford - 1863
...their other angles shall be equal, each to each, namely those to which the equal sides are opposite. 3. If a straight line be divided into any two parts,...parts, together with the square on the aforesaid part. 4. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...AB, BCis equal to the square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts,...parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts in the point C. Then the rectangle AB, BC, shall...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...AB, BCis equal to the square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts,...rectangle contained by the whole and one of the parts, it equal to the rectangle contained by the two parts, together with the square on the aforesaid part....
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...equal to the rectangles under the whole and each of the parts . . . . . II. 2. 2. The rectangle under the whole and one of the parts, is equal to the rectangle under the two parts, together with the square on the aforesaid part . . . . . . . n. 3. 3. The square...
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