Spherical trigonometryJ. Noon, 1736 |
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Σελίδα i
... in Chichefter , and Author of the Philofophical Grammar . LONDON : Printed for 7. Noon , at the White Hart in Cheap- fide , near Mercers Chapel , MDCCXXXVI , 1736 QA 533 M38 Viz 51-17686 THE iii PREFACE . N The Contents of this Book CHA P.
... in Chichefter , and Author of the Philofophical Grammar . LONDON : Printed for 7. Noon , at the White Hart in Cheap- fide , near Mercers Chapel , MDCCXXXVI , 1736 QA 533 M38 Viz 51-17686 THE iii PREFACE . N The Contents of this Book CHA P.
Σελίδα vi
... London 3. On the Plane of the Ecliptic 4. On the Plane of the Equinoctial 5. On the Plane of the Tropic of Capricorn 6. On the Plane of any Oblique Circle Chap . VII . 56 62 65 68 70 Containeth Forty One Theorems for the Explication of ...
... London 3. On the Plane of the Ecliptic 4. On the Plane of the Equinoctial 5. On the Plane of the Tropic of Capricorn 6. On the Plane of any Oblique Circle Chap . VII . 56 62 65 68 70 Containeth Forty One Theorems for the Explication of ...
Σελίδα 23
... London HO ; Set off 389 30 , on a Line of Chords , from H to E , and draw the E- quinoctial Line £ 2 ; Practice . H R B Set off 23 ° 30 ' from E to C , and draw the Ecliptic C L : At right Angles to the Horizon HO , draw the Azimuth of ...
... London HO ; Set off 389 30 , on a Line of Chords , from H to E , and draw the E- quinoctial Line £ 2 ; Practice . H R B Set off 23 ° 30 ' from E to C , and draw the Ecliptic C L : At right Angles to the Horizon HO , draw the Azimuth of ...
Σελίδα 56
... London , Latitude 51 ° 30 ° . 1. Draw the Primitive Circle WNES , reprefent- ing the Horizon of London ; and cross it with two Diameters WE , NS the first of which is the Projection of the Prime Vertical of East and West ; the other NS ...
... London , Latitude 51 ° 30 ° . 1. Draw the Primitive Circle WNES , reprefent- ing the Horizon of London ; and cross it with two Diameters WE , NS the first of which is the Projection of the Prime Vertical of East and West ; the other NS ...
Σελίδα 64
... London WOE ; for the Northern Part of the Horizon being elevated above the Southern Part of the Ecliptic 62 ° ; therefore the Half - Tangent of its Complement 280 being fet from C to O , will there give the Point of In- terfection ; and ...
... London WOE ; for the Northern Part of the Horizon being elevated above the Southern Part of the Ecliptic 62 ° ; therefore the Half - Tangent of its Complement 280 being fet from C to O , will there give the Point of In- terfection ; and ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 185 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 241 - It commences in the morning and ends in the evening, when the sun is 18° below the horizon.
Σελίδα 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.
Σελίδα 365 - Dialogue, adapted purpofely to the Capacities of the Youth of both Sexes ; and adorned and illuftrated with variety of Copper- Plates.
Σελίδα 75 - Side *»» is the Supplement of the Angle H, and the Angle E of the Side G D.
Σελίδα 205 - Superficies to M ; And, as two right Angles are to F, So is half the fpherical Superficies to K.