Spherical trigonometryJ. Noon, 1736 |
Dentro del libro
Resultados 1-5 de 34
Página i
... Ambiguities , in feveral Methods . The Menfuration of the Area of a Spherical Trian- gle and Completion of a Solid Body . PART II . Containeth the Application of the Doctrine of Spherical Trigonometry to the following Mathematical Arts ...
... Ambiguities , in feveral Methods . The Menfuration of the Area of a Spherical Trian- gle and Completion of a Solid Body . PART II . Containeth the Application of the Doctrine of Spherical Trigonometry to the following Mathematical Arts ...
Página vii
... Ambiguities attending them Chap . XIX . 166 Method of folving Oblique Spherical Triangles without a Perpendicular with a proper Scheme for the Demon ftration thereof ; a 2 * 18 Chap . Chap . XX . The Solution of the fix Cafes The ...
... Ambiguities attending them Chap . XIX . 166 Method of folving Oblique Spherical Triangles without a Perpendicular with a proper Scheme for the Demon ftration thereof ; a 2 * 18 Chap . Chap . XX . The Solution of the fix Cafes The ...
Página 100
... Ambiguities of a Right - angled Spherical Tri- angle are folved by Theorem 18 , 19 , 20 , and 21 ; by by Ambiguities , I mean the Doubts which occur ( 100 The Solution of Right - angled.
... Ambiguities of a Right - angled Spherical Tri- angle are folved by Theorem 18 , 19 , 20 , and 21 ; by by Ambiguities , I mean the Doubts which occur ( 100 The Solution of Right - angled.
Página 101
... Ambiguity , or Doubt about the other Parts , by the faid Theorems : Hence the two first Cafes are free of all Ambiguity . 2. If the Hypothenuse and either Side , AB , AC , are given ; there can be no Ambiguity ; and thus the third and ...
... Ambiguity , or Doubt about the other Parts , by the faid Theorems : Hence the two first Cafes are free of all Ambiguity . 2. If the Hypothenuse and either Side , AB , AC , are given ; there can be no Ambiguity ; and thus the third and ...
Página 108
... of the Leg BA = 36 15 = 9.9065745 fo is the Sine of the Angle B = 42 , 349.8302342 To the Co - fine of the Angle C = 56 57 = 9.7368087 Cafe Cafe 4 , Ambiguous . One Leg , as AC 108 Method 1. Of folving R. A. S. Triangles.
... of the Leg BA = 36 15 = 9.9065745 fo is the Sine of the Angle B = 42 , 349.8302342 To the Co - fine of the Angle C = 56 57 = 9.7368087 Cafe Cafe 4 , Ambiguous . One Leg , as AC 108 Method 1. Of folving R. A. S. Triangles.
Contenido
1 | |
2 | |
19 | |
25 | |
43 | |
49 | |
55 | |
103 | |
240 | |
246 | |
252 | |
258 | |
264 | |
275 | |
281 | |
294 | |
112 | |
124 | |
131 | |
138 | |
161 | |
166 | |
200 | |
208 | |
213 | |
221 | |
234 | |
297 | |
305 | |
316 | |
322 | |
325 | |
334 | |
341 | |
347 | |
353 | |
359 | |
366 | |
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.