Spherical trigonometryJ. Noon, 1736 |
Inni boken
Resultat 1-5 av 70
Side 101
... Side or Angle found ; that is , whether it be leffer , or Greater than a Quadrant , or a Right - angle ; fince the Sine of an Arch is the fame with the Sine of that Arch's Complement to 180 ° , or a Semicircle . Now because , if we have ...
... Side or Angle found ; that is , whether it be leffer , or Greater than a Quadrant , or a Right - angle ; fince the Sine of an Arch is the fame with the Sine of that Arch's Complement to 180 ° , or a Semicircle . Now because , if we have ...
Side 112
... Side or Angle , in the Column of Sines , or Tangents , as the Analogies fhall direct , and by the Golden Rule , you find the Natural Sine or Tangent of the Arch re- quired ; which being fought in the Table , will there fhew the Degrees ...
... Side or Angle , in the Column of Sines , or Tangents , as the Analogies fhall direct , and by the Golden Rule , you find the Natural Sine or Tangent of the Arch re- quired ; which being fought in the Table , will there fhew the Degrees ...
Side 127
... Side 4 C. 3. To find the Angle B The Analogy , RcsBCt Cot B ; But for the Sector , cs BC : ctC : R 1 B. Therefore make the Tangent of 3o 03 ′ a = Sine of 45 ° 08 ′ ; then fhall the Radius give the Tangent of 42 ° 34 ′ for the Meafure of ...
... Side 4 C. 3. To find the Angle B The Analogy , RcsBCt Cot B ; But for the Sector , cs BC : ctC : R 1 B. Therefore make the Tangent of 3o 03 ′ a = Sine of 45 ° 08 ′ ; then fhall the Radius give the Tangent of 42 ° 34 ′ for the Meafure of ...
Side 168
... find- ing the Quæfita in any Cafe where the Solution cannot be obtained at one Operation . In order to this , we must firft determine ... Side on which the Perpendicular falls ) be both known , then ' tis certain how the Perpendicular will ...
... find- ing the Quæfita in any Cafe where the Solution cannot be obtained at one Operation . In order to this , we must firft determine ... Side on which the Perpendicular falls ) be both known , then ' tis certain how the Perpendicular will ...
Side 171
... Side , and let it fubtend a given Angle . Rule 2. And if the three Parts given be contigu- ous , let it fall from ... find the Side CD . The Analogy , s D : s BC :: s B : s DC , - As the Sine of the Ang . D = 28 ° 33 ′ Co. Ar . 0.3206398 ...
... Side , and let it fubtend a given Angle . Rule 2. And if the three Parts given be contigu- ous , let it fall from ... find the Side CD . The Analogy , s D : s BC :: s B : s DC , - As the Sine of the Ang . D = 28 ° 33 ′ Co. Ar . 0.3206398 ...
Innhold
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Vanlige uttrykk og setninger
adjacent Angle alfo Altitude Analemma Analogy Arch Azimuth Bafe Baſe becauſe BIFH Cafe Center Chords Circles of Latitude Co-fine Co-tangent Colure Complement confequently Cufp Declination defcribe Degrees Demonftration Dial Diameter Diſtance draw E. D. THEOREM Eaft Ecliptic equal Equinoctial faid fame fhall fhew find the Angle find the Hypothenufe find the Leg find the Side firft firſt folving fuch fuppofe given the Side Globe greateſt half Sum Half-Tangent Horizon Hour-Lines Houſes Interfection laft Latitude leffer lefs Longitude meaſured Meridian muſt North Numbers Oblique Circle oppofite paffeth Parallel Perpendicular Plane recline Pofition Point Pole Prime Vertical Prob PROBLEM Projection Quadrant Radius Reclining Plane Right Afcenfion Right Line Right-angled Spherical Triangles Scheme Semicircle Sine Sine of half Sphere Spherical Angle Spherical Trigonometry Sun's Tangent of half thefe theſe thofe thoſe Tropic of Capricorn Weft Wherefore whofe
Populære avsnitt
Side 75 - The three angles of a spherical triangle are together greater than two right angles and less than six right angles. Let A, B, C be the angles of a spherical triangle ; let a', b', o' be the sides of the polar triangle. Then by Art. 30, a...
Side 185 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Side 186 - The cosine of half the sum of two sides of a spherical triangle is to the cosine of half their difference as the cotangent of half the included angle is to the tangent of half the sum of the other two angles.
Side 186 - The cosine of half the sum of two angles of a spherical triangle is to the cosine of half their difference as the tangent of half the included side is to the tangent of half the sum of the other two sides.
Side 186 - The sine of half the sum of two angles of a spherical triangle is 'to the sine of half their difference as the tangent of half the included side is to the tangent of half the difference of the other two sides.
Side 241 - It commences in the morning and ends in the evening, when the sun is 18° below the horizon.
Side 5 - Equinoctial (counted from the beginning of Aries) which cometh to the Meridian with the Sun or Stars, or with any portion of the Eclyptick.
Side 365 - Dialogue, adapted purpofely to the Capacities of the Youth of both Sexes ; and adorned and illuftrated with variety of Copper- Plates.
Side 75 - Side *»» is the Supplement of the Angle H, and the Angle E of the Side G D.
Side 205 - Superficies to M ; And, as two right Angles are to F, So is half the fpherical Superficies to K.