| 1850 - 398 pages
...the interior opposite angles. 2. If a right line be divided into two equal parts, and also into two **unequal parts; the rectangle contained by the unequal...section, is equal to the square of half the line.** 3. In every triangle, the square of the side subtending either of the acute angles, is less than the... | |
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...angle of a parallelogram? 3. If a straight line be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...section, is equal to the square of half the line.** 4. Equal straight lines in a circle are equally distant from the centre ; and conversely, those which... | |
| Education - 1851 - 502 pages
...right angles. SECTION II.—1. If a straight line be divided into two equal parts, and also into two **unequal parts : the rectangle contained by the unequal...section, is equal to the square of half the line.** 3. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two... | |
| Euclides - 1852 - 152 pages
...1.] BOOK II. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...equal parts in the point C, and into two unequal parts** at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB.... | |
| Euclides - 1853 - 146 pages
...likewise squares. PROP. V. THEOREM. If a straight 'line be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...equal parts in the point C, and into two unequal parts** at the point D; the rectangle AD, DB, together with the square of CD, is equal to the square of CB.... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...squares. PROPOSITION V. THEOR. If a straight line be divided inio two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...equal parts in the point C, and into two unequal parts** at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB.... | |
| Euclides - Geometry - 1853 - 176 pages
...squares. PROPOSITION V. — THEOREM. If a straight line be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...points of section, is equal to the square of half the** Une. LET the straight line ab be divided into two equal parts in the point С, and into two unequal... | |
| Euclides - Geometry - 1853 - 334 pages
...proved. PEOP. V. THEOE. If a straight line be bisected, and also divided into two unequal parts : then **the rectangle contained by the unequal parts together with the square of the** part of the line intercepted between the points of section, shall be equal to the square of half the... | |
| William Somerville Orr - Science - 1854 - 532 pages
...л straight line (AB) be divided into two equal parts (inC), and also info two unequal parts (in D), **the rectangle contained by the unequal parts, together with the square of** (CD), the line between the points of section, is equal to the square of hilf the line : that is, DB... | |
| John Playfair - Euclid's Elements - 1855 - 340 pages
...T) B PROP. V. THEOR. If a straight linele divided into two equal parts, andalsointo twounequalparts; **the rectangle contained by the unequal parts, together...point C, and into two unequal parts in the point D** ; the rectangle AD.DB, together •with the square of CD, is equal to the square of CB, or AD.DB+CD2=... | |
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