Spherical trigonometryJ. Noon, 1736 |
Inni boken
Resultat 1-5 av 100
Side vi
... given Point , fo as to contain any given Angle with the Pri- mitive 44 Prob . 4. To defcribe a Great Circle through any two Points given within the Primitive Prob . 5. To measure any Spherical Angle Prob . 6. To divide any Great Circle ...
... given Point , fo as to contain any given Angle with the Pri- mitive 44 Prob . 4. To defcribe a Great Circle through any two Points given within the Primitive Prob . 5. To measure any Spherical Angle Prob . 6. To divide any Great Circle ...
Side x
... given Moment of Time ; and to affign the Places of the Sun , Moon , Planets , and remarkable fixed Stars in their proper Houses Chap . III . 284 The Application of Spherical Trigonometry to the Science of Geography containing Tables of ...
... given Moment of Time ; and to affign the Places of the Sun , Moon , Planets , and remarkable fixed Stars in their proper Houses Chap . III . 284 The Application of Spherical Trigonometry to the Science of Geography containing Tables of ...
Side 12
... given perpen- dicular Right Line be C D , ' Tis evident , an Eye placed in R precisely over the Right Line CD , D B will perceive no more thereof , than what covers the Point D in the common Section AB ; Into which Point it is therefore ...
... given perpen- dicular Right Line be C D , ' Tis evident , an Eye placed in R precisely over the Right Line CD , D B will perceive no more thereof , than what covers the Point D in the common Section AB ; Into which Point it is therefore ...
Side 18
Benjamin Martin. Demonftration . Let the given Right Line be DC , its Projection ( by Theo- rem 4. ) will be FC ; D E F C. The Angle of Inclina- A tion is ACD , whofe Co - fine is DE FC . Make the given Line Radius DC : Then , as the given ...
Benjamin Martin. Demonftration . Let the given Right Line be DC , its Projection ( by Theo- rem 4. ) will be FC ; D E F C. The Angle of Inclina- A tion is ACD , whofe Co - fine is DE FC . Make the given Line Radius DC : Then , as the given ...
Side 44
... given Angle , viz . 37 ° 30 ' , and fet it from the Point G to e ; then on the Center e , defcribe the Oblique Circle H A I , which fhall contain , with D A , the ... given Point, fo as to contain any given Angle with the Pri- mitive.
... given Angle , viz . 37 ° 30 ' , and fet it from the Point G to e ; then on the Center e , defcribe the Oblique Circle H A I , which fhall contain , with D A , the ... given Point, fo as to contain any given Angle with the Pri- mitive.
Innhold
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 | |
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.