| Pierre Simon marquis de Laplace, Thomas Young - Astronomy - 1821 - 388 pages
...sides. The segments of the base being a' and a", the difference of their squares is a'2 — a"2; but **the difference of their squares is equal to the difference of the squares of the** two sides, since the perpendicular is the same for both the right angled triangles formed by the division... | |
| Euclides - 1840 - 194 pages
...circumferences, the chords of the intercepted arches will be parallel. 73. If two chords intersect, **the difference of their squares is equal to the difference of the squares of the** differences of their segments. (Pr. 35.) 74. If equal arches be assumed from the extremities of the... | |
| William Desborough Cooley - Geometry - 1840 - 106 pages
...alternate angles, and consequently DB and AC are parallel (i. Prop. 27). If two chords (AB, CD) intersect, **the difference of their squares is equal to the difference of the squares of the** differences of their segments. If the chord AB be bisected, then the rectangle under the unequal segments... | |
| Alfred Wrigley, William Henry Johnstone - Mathematics - 1845 - 222 pages
...intercepted arcs will be parallel. (Euclid, iii. 32. Cape, ii. 48.) 35. If two chords intersect in a circle, **the difference of their squares is equal to the difference of the squares of the** difference of the segments. (Euclid, ii. 8, and iii. 35. Cape, iii. 61, 77.) 36. If two chords be drawn... | |
| Euclides - 1846 - 292 pages
...AP and AQ are together double of the square of the radius. 6. If two chords intersect in a circle, **the difference of their squares is equal to the difference of the squares of the** difference of the segments. 7. Two parallel chords in a circle are respectively six and eight inches... | |
| 1856
...is equal to the sum ofthe squares of the diagonals. 2. If two straight lines intersect in a circle, **the difference of their squares is equal to the difference of the squares of the** difference of their segments. 3. Deseribe a circle in that part of a segment of a circle which is cut... | |
| Education - 1857 - 1266 pages
...equal to twice as many right angles as the polygon has sides. 4. If two chords intersect in a circle, **the difference of their squares is equal to the difference of the squares of the** differences of the segmente. SECTION II. 1. Prove the rule for finding the square root of a binomial,... | |
| British and foreign school society - 1857 - 544 pages
...equal to twice as many right angles as the polygon has sides. 4. If two chords intersect in a circle, **the difference of their squares is equal to the difference of the** separes of the differences of the segments. 1. Prove the rule for finding the square root of a binomial,... | |
| Philip Kelland - 1860
...sum by the latter is the number or fraction itself 55. Prove that if 1 be divided into any two parts, **the difference of their squares is equal to the difference of the** parts themselves. 56. Prove that if 2 be divided into any two parts the difference of their squares... | |
| Alfred Wrigley - Mathematics - 1862 - 330 pages
...circumferences, the chords of the intercepted arcs will be parallel. 42. If two chords intersect in a circle, **the difference of their squares is equal to the difference of the squares of the** difference of the segments. 43. If two chords be drawn from any point of a circle, and upon these chords,... | |
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