| Upper Canada. Chief Superintendent of Schools - Education - 1854 - 196 pages
...the whole line is equal to the squares of the two parts, together with twice their rectangle. 4. If **a straight line be divided into two equal and also into two unequal parts ; the squares of the** unequal parts are together double of the squares of half the line, and of the squares of the line between... | |
| William Somerville Orr - Science - 1854 - 532 pages
...straight line (AB) be divided into two equal, and also into two unequal parís (in С and D), tlie **squares of the two unequal parts are together double of the square of half the line** (AC), and of the square of the Km (GD), between the points of section : that is, A D+ DB= = twiee AC?... | |
| Robert Potts - 1855 - 1050 pages
...triangle be produced, the exterior angle is greater than either of the interior opposite angles. 12. If **a straight line be divided into two equal and also...square of the line between the points of section.** 11. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal... | |
| John Playfair - Euclid's Elements - 1855 - 340 pages
...and adding c2 to each member of this equality, we shall have, or4a6+c2=(c+2i)2. PROP. IX. THEOR. If **a straight line be divided into two equal, and also...unequal parts are together double of the square of** halj the line, and of the square of the line between the points of section. Let the straight line AB... | |
| Euclides - 1855 - 262 pages
...of AB and В С together. PROP. IX. THEOREM. If a 'traight line be divided into two equal, and aim **into two unequal parts; the squares of the two unequal...double of the square of half the line, and of the** ajuare of the line between t he points of section. Let the straight line AB be divided into two equal... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...the square on the hypothenuse be fire times that on one of the sides; compare the two sides. 4. If **a straight line be divided into two equal and also into two unequal parts; the** rectangle contained by the unequal parts together with the square of the line between the points of... | |
| Euclides - 1856 - 168 pages
...manifest that the rectangles about the diameter of a square are likewise squares. L. — EUCLID II. 5. If **a straight line be divided into two equal and also into two unequal parts, the** rectangle contained by the unequal parts, together with the square of the line between the points of... | |
| Henry Latham - 1857 - 390 pages
...two right angles. At what angles are the sides of a regular duodecagon inclined to each other? 3. If **a straight line be divided into two equal, and also...square of the line between the points of section.** If the sum of the squares of the distances of a point P from two fixed points is constant, the locus... | |
| War office - 1858 - 578 pages
...and bisect each other, the straight lines joining their extremities will form a parallelogram. 9. If **a straight line be divided into two equal and also...square of the line between the points of section.** Prove this proposition also by algebra. No. II. OBLIGATORY PORTION. Second Paper. 1. If a negative... | |
| 1858 - 398 pages
...squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. — If **a straight line be divided into two equal, and also...square of the line between the points of section.** 7. AOB is the quadrant of a circle, whose centre is O ; from any point C in its arc draw CD perpendicular... | |
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