 | Royal college of surgeons of England - 1860 - 332 páginas
...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,... | |
 | Civil service - 366 páginas
...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... | |
 | Robert Potts - 1860 - 380 páginas
...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.)... | |
 | John Paxton Hall - 1860 - 186 páginas
...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... | |
 | Robert Fowler - 1861 - 426 páginas
...&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. .... | |
 | Euclides - 1862 - 140 páginas
...Conclusion. — Therefore, if a straight line, &o. QED PROPOSITION 8. -THEOREM. If a straight line be divided into Any two parts, four times the rectangle...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... | |
 | Euclides - 1862 - 172 páginas
...QED PROP. VIII.— THEOREM. If a straight line be divided into any two parts ; 68 THE SCHOOL EUCLID. parts, together with the square of the other part,...equal to the square of the straight line which is made up of the whole and that part. (References — Prop. i. 3, 31, 34, 36, 43, 46 ; n. 4, Cor.) Let the... | |
 | Euclides - 1863 - 122 páginas
...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... | |
 | University of Oxford - 1863 - 316 páginas
...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,... | |
 | Henry White - 1864 - 156 páginas
...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. 4. The diameter is the greatest straight line in a circle; and,... | |
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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... 
