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 Bøker Bok 121–130 av 184 på C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides... C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ... - Side 479
av John Ward - 1771 - 480 sider
Uten tilgangsbegrensning - Om denne boken ## Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

1874 - 455 sider
...have tl1e following principle : In any plane triangle, the sum of the sides including either angle, is to their difference, as the tangent of half the sum of the two other angles, is to the tangent of half their difference. The half sum of the angles may he found...
Uten tilgangsbegrensning - Om denne boken ## Military surveying and field sketching

...from 180°, E + F = 180° 150° T — 29° 3'. and \ (E + F) = 14° 31' 30". The sum of the 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. Ar. co. Log. (e + /) 3922'92 = 6'406347 Log....
Uten tilgangsbegrensning - Om denne boken ## Plane and Spherical Trigonometry and Mensuration

Aaron Schuyler - 1875 - 184 sider
...£(Л + ß) : tan £(Л — B). Hence, In any plane triangle, the sum of the sides inchuling an angle is to their difference as the tangent of half the sum of the other two angles is to the tangent of half their difference. We find from the proportion, the equation...
Uten tilgangsbegrensning - Om denne boken ## The Register, Cornell University

1875
...sin'.r=:2cosa;r — 1 = I — 2sinV. 4. Prove that in any plane triangle the sum of cither two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of hall' their difference. 5. Given two sides of a triangle equal...
Uten tilgangsbegrensning - Om denne boken ## Plane and Spherical Trigonometry

Henry Nathan Wheeler - 1876 - 208 sider
...sides of any triangle are proportional to the sines of { 72. The surn of any two sides of a triangle is to their difference as the tangent of half the sum of the opposite angles Is to the tangent of half their difference . . 78 § 73. The square of any side of...
Uten tilgangsbegrensning - Om denne boken ## Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1876 - 170 sider
...proposition, therefore, applies in every case. BOOK Ш. 2. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. For, by (90), a : 6 : : sin A : sin B;...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Plane Trigonometry

1876 - 109 sider
...that sin B is equal to the sine of its supplement CBP. § 72. The sum of any two sides of a triangle is to their difference as the tangent of half the sum of tlie opposite angles is to the tangent of half their difference. From  we get, by the theory of...
Uten tilgangsbegrensning - Om denne boken ## Elements of Trigonometry: Plane and Spherical

Edward Olney - 1877 - 201 sider
...horizontal parallax. PLANE TR1GONOMETRY. 86. Prop.— The sum of any two sides of aplane triangle 's to their difference, as the tangent of half the sum of the angles oppos'te is to the tangent of half their difference. DEM. — Letting a and b represent any two sides...
Uten tilgangsbegrensning - Om denne boken ## A Treatise on Land-surveying: Comprising the Theory Developed from Five ...

1878 - 508 sider
...to each other at the opposite sides. THEOREM IL—In every plane triangle, the sum of two tides it to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of kalf their difference. THEOKEJI III.—In every plane triangle,...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Plane Trigonometry

Eugene Lamb Richards - 1878 - 112 sider
...since C is a right angle, its sine is 1 (Art. 35). Also 49. In any triangle, the SUM of any TWO RIDES is to their DIFFERENCE as the TANGENT of HALF the sum of the OPPOSITE ANGLES 18 to the TANGENT of HALF their DIFFERENCE. Let A CB be any triangle. Then EC+CA _...
Uten tilgangsbegrensning - Om denne boken