| Charles Hutton - 1826 - 682 pages
...sine and versed sine of an arc, is equal to the square of double the sine of half the arc. Ex. 11. **Demonstrate that the sine of an arc is a mean proportional...that the base is to the sum of the other two sides** at as the cosine of half the sum of the angles at the base, to the cosine of half their difference.... | |
| Robert Simson - 1827 - 546 pages
...PROP. III. FIG. 8. In a plane triangle, the sum of any two sides is to their difference, as the tangent **of half the sum of the angles at the base, to the** tangent of half their difference. Let ABC be a plane triangle, the sum of any two sides AB, AC will... | |
| Charles Hutton - 1831 - 656 pages
...sine and versed sine of an arc, is equal to the square of double the sine of half the arc. Ex. 11. **Demonstrate that the sine of an arc is a mean proportional...sides, as the sine of half the sum of the angles at the** hasp., to tlio aino of half their difference : also, that the base is to the sum of the other two sides,... | |
| Euclid - 1835 - 540 pages
...PROP. III. FIG. 8. In a plane triangle, the sum of any two sides is to their difference, as the tangent **of half the sum of the angles at the base, to the** tangent of half their difference. Let ABC be a plane triangle, the sum of any two sides AB, AC will... | |
| John Playfair - 1836 - 148 pages
...5.) EC is to CF, as EB to BG; that is, the sum of the sides is to their difference, as the tangent **of half the sum of the angles at the base to the** tangent of half their difference. PROP. IV. In any plane triangle BAC, whose two sides are BA, AC,... | |
| Andrew Bell, Robert Simson - 1837 - 290 pages
...vertical angle is divided. 2. The base of a triangle is to the sum of its two sides, as the cosine **of half the sum of the angles at the base to the** cosine of half their difference. 3. The base of a triangle is to the difference of its sides, as the... | |
| Scottish school-book assoc - 1845 - 444 pages
...their difference. Also, that the sum of the sides, is to the lifference of the segments of the base, **as the sine of half the sum of the angles at the base,** is to the sine of half :heir difference. APPLICATION OF PLANE TRIGONOMETRY TO THE MENSURATION OF HEIGHTS... | |
| Nathan Scholfield - 1845 - 506 pages
...sine of half their difference : also, that the base is to the sum of the other two sides as the cosine **of half the sum of the angles at the base, to the** cosine of half their difference. Ex. 10. How must three trees, A, B, C, be planted, so that the angle... | |
| Nathan Scholfield - 1845 - 542 pages
...of half their difference : also-, that the base is to the sum of the other two sides as the cosine **of half the sum of the angles at the base, to the** cosine of half their difference. Ex. 10. How must three trees, A, B, C, be planted, so that the angle... | |
| Nathan Scholfield - 1845 - 894 pages
...sine of half their difference: also, that the base is to the sum of the other two sides as the cosine **of half the sum of the angles at the base, to the** cosine of half their difference. Ex. 10. How must three trees, A, B, C, be planted, so that the angle... | |
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