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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 Elements of Euclid; viz. the first six books, together with the eleventh ... - Strona 39
autor: Euclides - 1834
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - Liczba stron: 361
...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 - Liczba stron: 12
...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,...contained by the two parts, together with the square on the aforesaid part. VOLUNTARY PORTION. 2. From a given straight line to cut off any part required....
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...line be divided into any two pts, the I | contained by the whole and one of the pts is eq. to the I П contained by the two parts together with the square of the aforesaid part. 35, III. If two st. lines cut one another within a 0 the rect. contained by the segs. of one is eq....
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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 two parts in the point...
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Responsions

University of Oxford - 1863
...of its angles equal to a given rectilineal angle. 6. Describe a square on a given straight line. 7. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. 8. If a straight line be bisected, and produced to any point, the rectangle...
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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,...contained by the two 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...
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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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