 | Robert Simson - Trigonometry - 1806 - 546 pages
...manifest, that the paralJelograms about the diameter of a square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts,...two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...manifest that the parallelograms about the diameter of a square are likewise squares. . PROP. V. THEOR. IF a straight line be divided into two equal parts,...two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, are equal to the... | |
 | John Mason Good - 1813 - 714 pages
...squares of the two parts, together •with twice the rectangle contained by the parts. Prop. V. Theor. If a straight line be divided into two equal parts,...two unequal parts) the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the... | |
 | Euclides - 1816 - 588 pages
...manifest, that the parallelograms about the diameterof a square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts,...two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the... | |
 | John Playfair - 1819 - 354 pages
...manifest that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts,...two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...manifest that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two uneqtial parts ; the rectangle contained by the unequal parts, together with the square of the line... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...manifest, that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. IP a straight line be divided into two equal parts, and...two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...that the parallelograms about the diameter of a square, are likewise squares. Proposition V. Tlieorem. If a straight line be divided into two equal parts,...two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...manifest that the parallelograms about the diameter of a square are likewise squares. •f PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts ; the reetangle eontained by the unequal parts, together with the square of the line between the points of... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...manifest, that parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts...two unequal parts ; the rectangle contained by the •unequal parts, together with the square of the line between the points of section, is equal to the... | |
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If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 
