Elements of Plane and Spherical Trigonometry with Logarithmic and Other Mathematical Tables and Examples of Their Use and Hints on the Art of Computation |
Dentro del libro
Resultados 1-5 de 10
Página 20
Now because angle XOM + angle MOY = angle XOY = 90 ° , MOY is the
complement of XOM . Therefore the equations ( a ) may be written PM = sin comp
. of XOM ; YN = tan comp . of XOM ; ON = sec comp . of XOM . Because when we
have ...
Now because angle XOM + angle MOY = angle XOY = 90 ° , MOY is the
complement of XOM . Therefore the equations ( a ) may be written PM = sin comp
. of XOM ; YN = tan comp . of XOM ; ON = sec comp . of XOM . Because when we
have ...
Página 21
cosine DE The forms ( 10 ) enable us to find the cosine , cotangent , and
cosecant of an angle when we know the sine , tangent , and secant of its
complement . Thus if the cosine of 60 ° is required , we have cos 60 ° = sin ( 90 °
— 60 ° ) = sin ...
cosine DE The forms ( 10 ) enable us to find the cosine , cotangent , and
cosecant of an angle when we know the sine , tangent , and secant of its
complement . Thus if the cosine of 60 ° is required , we have cos 60 ° = sin ( 90 °
— 60 ° ) = sin ...
Página 132
Let us take for the five parts the sides a and b as before , and , instead of the
other three parts , the complements of the oblique angles and of the hypothenuse
. The fact that the complements are understood is indicated by accenting the
letters ...
Let us take for the five parts the sides a and b as before , and , instead of the
other three parts , the complements of the oblique angles and of the hypothenuse
. The fact that the complements are understood is indicated by accenting the
letters ...
Página 138
The slope of the edge will not be represented by either of the six parts of the
triangle , but by the complement of the perpendicular from the vertex upon the
base . 4. A mason cuts a stone with a rectangular base and four lateral edges ,
each ...
The slope of the edge will not be represented by either of the six parts of the
triangle , but by the complement of the perpendicular from the vertex upon the
base . 4. A mason cuts a stone with a rectangular base and four lateral edges ,
each ...
Página 152
It is easily shown that the angles a , , and y are the complements of the angles
which OP forms with the three rectangular planes . For , pass a plane through P
and OZ . Because OZ 1 plane XO Y , the cutting plane OZP is also perpendicular
to ...
It is easily shown that the angles a , , and y are the complements of the angles
which OP forms with the three rectangular planes . For , pass a plane through P
and OZ . Because OZ 1 plane XO Y , the cutting plane OZP is also perpendicular
to ...
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
Otras ediciones - Ver todas
Elements of Plane and Spherical Trigonometry with Logarithmic and Other ... Simon Newcomb Sin vista previa disponible - 2016 |
Términos y frases comunes
9 Prop added addition algebraic amount angle applied base called circle co-ordinates column complement computation corresponding cosec cosine Cotg decimals differences direction distance divided equal equations error example EXERCISES expression figure formula four functions geometry given gives greater Hence increase interest interpolation intersect length less limit logarithm means measure minutes multiply negative NOTE obtain opposite perpendicular plane polar polygon positive powers preceding problem projection Prop Prove quadrant quantities radius rectangular reduce relations remaining represented respective result root secant shown sides sin a cos sin a sin sine sinº Solution spherical triangle square student substituting subtract suppose Tang tangent theorem third tion triangle trigonometric unit unity values write zero
Pasajes populares
Página 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 4 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 66 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Página 70 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 34 - To find the trigonometric functions corresponding to an angle between 45° and 90°, we take the degrees at the bottom of the page and the minutes in the right-hand column. The values of the...
Página 139 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Página 132 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Página 44 - To express the sine and cosine of the sum of two angles in terms of the sines and cosines of the angles.
Página 73 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.
Página 53 - Conventionally the period is divided into 24 hours, each hour into 60 minutes, and each minute into 60 seconds.
Información bibliográfica
| Título | Elements of Plane and Spherical Trigonometry with Logarithmic and Other Mathematical Tables and Examples of Their Use and Hints on the Art of Computation Mathematical course, Simon Newcomb Newcomb's mathematical course |
| Autor | Simon Newcomb |
| Edición | 2 |
| Editor | H. Holt, 1882 |
| Procedencia del original | Universidad de Harvard |
| Digitalizado | 11 Ene. 2008 |
| Largo | 104 páginas |
| Exportar cita | BiBTeX EndNote RefMan |