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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 41
av Robert Simson - 1838 - 416 sider
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 422 sider
...a straight line be divided into any two parts, the rectangle contained by the whole and ono part is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. If a straight line be divided into any two parts, four times tho rectangle contained...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 sider
...intercepted without the triangle between the perpendicular and the obtuse angle. 3. II. If a line be divided into any two parts, the rectangle contained by the whole and one of the parts equals the rectangle contained by the two parts together with the square of the aforesaid part. Ax....
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 sider
...gallon ; how many gallons of each sort of wine must he take. Euclid. 1. If a straight line be divided into any two parts, the rectangle contained by the...the parts, is equal to the rectangle contained by the parts, together with the square of the aforesaid part. the straight line intercepted between the...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 sider
...sides of it, the angle contained by these two sides is a right angle. 7. If a straight line be divided into any two parts, the rectangle contained by the...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 by...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the...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 - 288 sider
...rectangle AB • BC, is equal to the square on AB. PEOPOSITION III. THEOBEM. 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 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 - 714 sider
...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, the rectangle contained by the...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 Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 sider
...— Therefore, if a straight line, &c. QED PROPOSITION 3.— THEOREM. 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 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 - 172 sider
...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...
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Responsions

University of Oxford - 1863 - 328 sider
...which are terminated at the other extremity equal to one another. 3. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. 4. Make a triangle of which the sides shall be equal to three given straight...
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