| Euclides - 1858 - 248 Seiten
...the figures ; hence the use of k. PROP. 3. — THEOR. If a st. line be divided into any two parts, **the rectangle contained by the whole line and one of the parts,** is equal to the rectangle contained by the two parts together with the square of the aforesaid part.... | |
| Euclides - 1860 - 288 Seiten
...rectangle AB • BC. PROPOSmON VIII. THEOREM. 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** on the other part, is equal to the square on the straight line which is made up of the whole and the... | |
| Joseph Charles Parkinson - 1860 - 154 Seiten
...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. 8. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn... | |
| Civil service - 366 Seiten
...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... | |
| John Paxton Hall - 1860 - 186 Seiten
...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... | |
| Robert Potts - 1860 - 380 Seiten
...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.)... | |
| James Elliot - 1860 - 252 Seiten
...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. £a ( V 5 —... | |
| Royal college of surgeons of England - 1860 - 336 Seiten
...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,... | |
| Robert Fowler - 1861 - 426 Seiten
...&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 Seiten
...straight line, &o. QED PROPOSITION 8. -THEOREM. 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** 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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