Spherical trigonometryJ. Noon, 1736 |
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Página 99
... Variety of every particular Cafe , for the Solution thereof . But tho ' I have reduced the Number of Cafes to a natural Order , and a conftant Number ; the intelli- gent Reader will notwithstanding obferve , that even those ten Cafes ...
... Variety of every particular Cafe , for the Solution thereof . But tho ' I have reduced the Number of Cafes to a natural Order , and a conftant Number ; the intelli- gent Reader will notwithstanding obferve , that even those ten Cafes ...
Página 124
... Variety of Stating Analogies , for the Cafes of Right - angled Spherical Triangles , per- formed by the Inftrument above defcribed , whereby you may also observe how expeditiously , as well as infallibly , the whole Bufinefs is ...
... Variety of Stating Analogies , for the Cafes of Right - angled Spherical Triangles , per- formed by the Inftrument above defcribed , whereby you may also observe how expeditiously , as well as infallibly , the whole Bufinefs is ...
Página 169
... variety of Triangles produced as is obfervable in the three Diagrams , viz . three in each Diagram , two Right - angled , and one Oblique - angled . Z VOL . II . ( Thus 8 I , Thus in Diagram 2 , are } explained and cleared of Ambiguity ...
... variety of Triangles produced as is obfervable in the three Diagrams , viz . three in each Diagram , two Right - angled , and one Oblique - angled . Z VOL . II . ( Thus 8 I , Thus in Diagram 2 , are } explained and cleared of Ambiguity ...
Página 178
... Variety of this Cafe ; fee Diag . 3 . Note , Here once for all , that because B ( the Complement of the Perpendicular which fubtends the Angle C ) fubtends the Complement of C ; therefore ( in Diag . 1 , it must be thus , if the Angle ...
... Variety of this Cafe ; fee Diag . 3 . Note , Here once for all , that because B ( the Complement of the Perpendicular which fubtends the Angle C ) fubtends the Complement of C ; therefore ( in Diag . 1 , it must be thus , if the Angle ...
Página 180
... Variety of this Cafe , that the Angle DCA and Side AD , would be of the fame Species with the given Angle B , when DC is lefs than a Quadrant ; and of a different Affection from B , when DC is greater than a Quadrant . And now if DCA be ...
... Variety of this Cafe , that the Angle DCA and Side AD , would be of the fame Species with the given Angle B , when DC is lefs than a Quadrant ; and of a different Affection from B , when DC is greater than a Quadrant . And now if DCA be ...
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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.