 Iff 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...  The elements of plane geometry - Page 110by Mathematical association - 1884Full view - About this book
 | Euclides - 1871 - 136 pages
...that BGD is a straight line. /i as a 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... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...under the whole line BC and each of its parts. PBOPOSITION III. If a right line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. The propositions required... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...straight line. PROPOSITION 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 otJter part, is equal to the square on the straight line which is made... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...on BP + rectangle BP, PQ + rectangle BP, QC. Hence, if a straight line be divided into any number of parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangles contained by that part and the other parts. PROPOSITION... | |
 | Edward Atkins - 1874 - 426 pages
...line, &c. 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... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...PROP. VIII.— THEOREM. (Euc. II. 8.) If a straight line be divided into any two ^mrts, four limes 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 in made... | |
 | Euclides - 1874 - 342 pages
...line, &c. 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... | |
 | Euclides - 1874 - 120 pages
...represented in symbols, 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... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...rectangles contained by one of them and the several parts into which the other is divided. COR. T. If a straight line is divided into two parts, the...part and the rectangle contained by the two parts. COR. 2. If a straight line is divided into two parts the square on the whole line is equal to the sum... | |
 | Edward Atkins - 1876 - 130 pages
...&c. Q. E, D. 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... | |
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