| Cambridge univ, exam. papers - 1856 - 252 pages
...upon the sides which contain the right angle. 6. If a straight line be divided into anу 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.... | |
| W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...the square of the aforesaid part. If a straight line be divided into any two parts, four times tho **rectangle contained by the whole line, and one of...square of the other part, is equal to the square of the** straight line, which is made up of the whole line and that part. In obtuse angled triangles, if a perpendicular... | |
| Euclides - 1858 - 134 pages
...the reetuinjle moler the ,SKW. BOOK II. 97 PROP. VIII. THEOR. If a si. line be divided into any tico **parts, four times the rectangle contained by 'the whole line and one of** tlie parti together with the square of the other part, is equal to the square of the st.i line which... | |
| War office - 1858 - 578 pages
...rectangles contained by the parts become ? 4. Divide a given straight line 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. NATURAL SCIENCES. By MAJOR-GEN. PORTLOCK, RE, LL.D.,... | |
| Euclides - 1860 - 288 pages
...squares on AB and BC, diminished by twice the rectangle AB • BC. PROPOSmON VIII. THEOREM. If a straight **line be divided into any two parts, four times the...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... | |
| Royal college of surgeons of England - 1860 - 336 pages
...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 Potts - Geometry, Plane - 1860 - 380 pages
...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 pages
...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 —... | |
| Euclides - 1861 - 464 pages
...whole line thus produced, and the pt. of it produced, together with the square of half the line bisd., **is equal to the square of the st. line which is made up of the** half and the part produced. El- Hyp. 1 2 „ 2 Cone. Let D be any • without © ABC; and DCA, DB two... | |
| Robert Fowler - 1861 - 426 pages
...&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. .... | |
| |