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" Prove that, in any plane triangle, the base is to the difference of the other two sides, as the sine of half the sum of the angles at the base, to the sine of half their difference : also, that the base is to the sum of the other two sides, as the cosine... "
Nine Geometricall Exercises: For Young Sea-men, and Others that are Studious ... - Page 76
by William Leybourn - 1704 - 192 pages
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 404 pages
...complement. Ex. 13. Prove that, in any plane triangle, the base is to the difference of the other two sides, as the sine of half the sum of the angles at the base, to the sine of half their difference : also, that the base is to the sum of the other two sides,...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - 1812 - 624 pages
...complement. Ex. 13. Prove that, in any plane triangle, the base is to the difference of the other two sides, as the sine of half the sum of the angles at the base, to the sine of half their difference : also, that the base is to the sum of the other two sides,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 pages
...to the cosine of half their difference. 3. The base of a triangle is to the difference of its sides, as the sine of half the sum of the angles at the base to the sine of half their difference. 4. The base of a triangle is to the difference of its segments,...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - 1845 - 244 pages
...complement. Ex. 9. Prove that, in any plane triangle, the base is to the difference of the other two sides, as the sine of half the sum of . the angles at the base, to the sine of half their difference : also, that the base is to the sum of the other two sides...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - 1845 - 542 pages
...complement. Ex. 9. Prove that, in any plane triangle, the base is to the difference of the other two sides, as the sine of half the sum of the angles at the base, to the sine of half their difference : also-, that the base is to the sum of the other two sides...
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A system of practical mathematics; being no.xvi. of a new series of school-books

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...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...the cosine of half their difference. 13. The base of a triangle is to the difference of its sides, as the sine of half the sum of the angles at the base to the sine of half their difference. 14. The base of a triangle is to the difference of its segments,...
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