A Course of Mathematics for the Use of Academies: As Well as Private Tuition, Volume 2S. Campbell, 1826 - Geometry |
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Page 19
... root , there will result , ( s - b ) . ( s — c ) sin A = √ bc In like ( s - a ) . ( s — c ) sin B = ✓ ( XXXIV . ) manner ac ( 1s — a ) . ( 18 — b ) ab sin c√ These expressions , besides their convenience for logarith- mic computation ...
... root , there will result , ( s - b ) . ( s — c ) sin A = √ bc In like ( s - a ) . ( s — c ) sin B = ✓ ( XXXIV . ) manner ac ( 1s — a ) . ( 18 — b ) ab sin c√ These expressions , besides their convenience for logarith- mic computation ...
Page 23
... be , by the question ; there results , after a little re- 1/3 ( x - 1 ) duction , ✓ X x + 2 . or 3x ( x − 1 ) = ( x + 2 ) 3 , an equation whose whose root is 4 , or - the triangle . ANALYTICAL PLANE TRIGONOMETRY . 23.
... be , by the question ; there results , after a little re- 1/3 ( x - 1 ) duction , ✓ X x + 2 . or 3x ( x − 1 ) = ( x + 2 ) 3 , an equation whose whose root is 4 , or - the triangle . ANALYTICAL PLANE TRIGONOMETRY . 23.
Page 24
As Well as Private Tuition Charles Hutton Robert Adrain. whose root is 4 , or - the triangle . 2 T • Hence 4 , 5 , and 6 , are the sides of 2 1_5 sin . A = 3√3 · 1 · • { • } = ? ̃ √ ¥ · 4 · 7 = 2 ; } • { √7 = 1√7 . sin . B = V7 ; sin ...
As Well as Private Tuition Charles Hutton Robert Adrain. whose root is 4 , or - the triangle . 2 T • Hence 4 , 5 , and 6 , are the sides of 2 1_5 sin . A = 3√3 · 1 · • { • } = ? ̃ √ ¥ · 4 · 7 = 2 ; } • { √7 = 1√7 . sin . B = V7 ; sin ...
Page 40
... root . there will result sin a = COS a -- cos bcos c + 2 cos a . cos b . cos c . ) sin a sin b . sin c sin * For the geometrical method , the reader may consult Simson's or Playfair's Euclid , or Bishop Horsley's Elementary Treatises on ...
... root . there will result sin a = COS a -- cos bcos c + 2 cos a . cos b . cos c . ) sin a sin b . sin c sin * For the geometrical method , the reader may consult Simson's or Playfair's Euclid , or Bishop Horsley's Elementary Treatises on ...
Page 92
... root , there results finally d c I 3 3 ( M3sin L + m3 sin 7 ) . ( M3 sin L - m sin 1 ) . 1 I 13 ( m3cos + 3 cos L ) . ( m3 cosl - м3 COS L ) . This expression , which is simple and symmetrical , has been obtained without any ...
... root , there results finally d c I 3 3 ( M3sin L + m3 sin 7 ) . ( M3 sin L - m sin 1 ) . 1 I 13 ( m3cos + 3 cos L ) . ( m3 cosl - м3 COS L ) . This expression , which is simple and symmetrical , has been obtained without any ...
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A Course of Mathematics, Vol. 2 of 2: For the Use of Academies, as Well as ... Charles Hutton No preview available - 2018 |
A Course of Mathematics, Vol. 2 Of 2: For the Use of Academies As Well As ... Charles Hutton No preview available - 2018 |
A Course of Mathematics, Vol. 2 of 2: For the Use of Academies, as Well as ... Charles Hutton No preview available - 2018 |
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Popular passages
Page 139 - ... powder, and that but a small one too ; so that all those nearly agree with the parabolic theory. Other experiments have also been carried on with the ballistic pendulum, at different times ; from which have been obtained some of the, laws for the quantity of powder, the weight and velocity of the ball, the length of the gun, &c. Namely, that the velocity of the ball varies as the square root of the charge directly, and as the square root of the weight of ball reciprocally ; and 'that, some rounds...
Page 92 - D'Alembert, was the Precession of the equinoxes and the Nutation of the earth's axis, according to the theory of gravitation.
Page 70 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Page 621 - In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the O's...
Page 238 - Then say. As the weight lost in water, Is to the whole weight, So is the specific gravity of water, To the specific gravity of the body.
Page 11 - 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.
Page 32 - Two planes are said to have the same or a like inclination to one another which two other planes have, when the said angles of inclination are equal to one another.
Page 205 - Hence the magnitude of the whole body, is to the magnitude of the part immersed, as the specific gravity of the fluid, is to that of the body.
Page 302 - ... small parts, but as generated by continued motion, by means of which they increase or decrease ; as a line by the motion of a point ; a surface by the motion of a line ; and a solid by the motion of a surface.
Page 378 - ... it follows that, by means of it, any one of the three may be expelled out of the calculation, or else brought into it. Also, the momentum, or quantity of motion in a moving body, is qv^ the product of the velocity and matter. It is also to be observed, that the theorems equally hold good for the destruction of motion and velocity, by means of retarding forces, as for the generation of the same, by means of Accelerating forces . And to the following problems, which are all resolved by the application...