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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... "
Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ... - Pagina 12
door Stewart W. and co - 1884
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pagina’s
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. PEOP. XII. — In obtuse-angled triangles, if a perpendicular be drawn...
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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 pagina’s
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 pagina’s
...other part. Let AB be the given straight line. It is required to divide 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. FG it Upon AB describe the square A CDB ; (l. 46.)...
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An elementary course of practical mathematics, Deel 1

James Elliot - 1860 - 252 pagina’s
...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. Ła ( V 5 —...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 pagina’s
...made up of the half and the part produced. 8. Divide a given straight line into two parts, such that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. PRELIMINARY GENERAL EXAMINATION. Christmas, 1864. WEDNESDAY,...
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The elements of algebra. [With] Answers

Robert Fowler - 1861 - 426 pagina’s
...&c. &c. according to the explanations in p. 7. 5. Divide a line а feet long 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. Let x = the length of the greater part, in feet. ....
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pagina’s
...with the square on AC. Conclusion. — Therefore, if a straight line, &o. QED PROPOSITION 8. -THEOREM. If a straight line be divided into Any two parts,...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole line and...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pagina’s
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. (References— Prop, t, 31, 36, 43; u. 4, Cor.) Let the straight line AB...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pagina’s
...straight line (AB) be divided into ang two parts (at C), Jour times the rectangle (AB, BC) contained bg the whole line, and one of the parts, together with the square of the other part (AC), is equal to the square of the straigh t line (AD), which is made up of the whole andthalpart...
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Responsions

University of Oxford - 1863 - 328 pagina’s
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. 9. If a straight line be bisected, and produced to any point, the square...
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