Spherical trigonometryJ. Noon, 1736 |
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Página vii
Benjamin Martin. Chap . VIII . Of the Nature , Cafes , Analogies , and various Methods of Solving Right - angled Spherical Triangles ; with a Synopfis of the Whole Doctrine Chap . IX . 98 Method 1. Of folving Right - angled Spherical ...
Benjamin Martin. Chap . VIII . Of the Nature , Cafes , Analogies , and various Methods of Solving Right - angled Spherical Triangles ; with a Synopfis of the Whole Doctrine Chap . IX . 98 Method 1. Of folving Right - angled Spherical ...
Página x
... Analogy , in the Problems following - 270 273 Prob . 1. To erect a Scheme or Figure of the Heavens for the Lat . of Chichester 50 ° 56 ' , May the 12th , at Night , 1735 Prob . 2. To find the Pole's Elevation above the Circles of the ...
... Analogy , in the Problems following - 270 273 Prob . 1. To erect a Scheme or Figure of the Heavens for the Lat . of Chichester 50 ° 56 ' , May the 12th , at Night , 1735 Prob . 2. To find the Pole's Elevation above the Circles of the ...
Página 97
... have ( by Theorem 25. ) csD : s G :: csGH : R ; But it is CSDS BA , and s Gcs CF ; Therefore it will be R : cs GH :: esC F : s BA 2. E. D. VOL . II . CHAP . i CHAP . VIII . Of the Cafes , Analogies Theorems of Spherical Trigonometry . 97.
... have ( by Theorem 25. ) csD : s G :: csGH : R ; But it is CSDS BA , and s Gcs CF ; Therefore it will be R : cs GH :: esC F : s BA 2. E. D. VOL . II . CHAP . i CHAP . VIII . Of the Cafes , Analogies Theorems of Spherical Trigonometry . 97.
Página 98
Benjamin Martin. i CHAP . VIII . Of the Cafes , Analogies , and Methods of folving Right - angled Spherical Tri- angles . 1 I fhall here purfue the fame new Method , of Sta- ting the true Nature and Number of the Cafes of Right - angled ...
Benjamin Martin. i CHAP . VIII . Of the Cafes , Analogies , and Methods of folving Right - angled Spherical Tri- angles . 1 I fhall here purfue the fame new Method , of Sta- ting the true Nature and Number of the Cafes of Right - angled ...
Página 99
... Analogy . In the fourth Column , are the Proportions which are the Reafon and Grounds of the Analogies for the Solutions of every Cafe , and out of which they are feverally formed ; in the fifth , are the feveral Theorems , by which the ...
... Analogy . In the fourth Column , are the Proportions which are the Reafon and Grounds of the Analogies for the Solutions of every Cafe , and out of which they are feverally formed ; in the fifth , are the feveral Theorems , by which the ...
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Términos y frases comunes
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
Pasajes populares
Página 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...
Página 185 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 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.
Página 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.
Página 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.
Página 241 - It commences in the morning and ends in the evening, when the sun is 18° below the horizon.
Página 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.
Página 365 - Dialogue, adapted purpofely to the Capacities of the Youth of both Sexes ; and adorned and illuftrated with variety of Copper- Plates.
Página 75 - Side *»» is the Supplement of the Angle H, and the Angle E of the Side G D.
Página 205 - Superficies to M ; And, as two right Angles are to F, So is half the fpherical Superficies to K.