Spherical trigonometryJ. Noon, 1736 |
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Αποτελέσματα 1 - 5 από τα 22.
Σελίδα 34
... Base DRCS ; E A G PK M F H B R C Then fhall the Section FIML be a Circle , by the Co- nic Elements . Draw the Diameter EN ; D N Then because in the Triangles ECN , EPH , The Angle ECN EPH , being both right ones ; and the Angle at E is ...
... Base DRCS ; E A G PK M F H B R C Then fhall the Section FIML be a Circle , by the Co- nic Elements . Draw the Diameter EN ; D N Then because in the Triangles ECN , EPH , The Angle ECN EPH , being both right ones ; and the Angle at E is ...
Σελίδα 75
... Base therefore fhall the Angle BD , BF , BD , DE , BF BE ; BDF BDE , = and fo each is a right one ; thus it is demonftrated that Angles BDG , BDH , BD , ЛЕСЕ , Q , E. D. are right ones ; and fo is the Line perpendicular to the Plane of ...
... Base therefore fhall the Angle BD , BF , BD , DE , BF BE ; BDF BDE , = and fo each is a right one ; thus it is demonftrated that Angles BDG , BDH , BD , ЛЕСЕ , Q , E. D. are right ones ; and fo is the Line perpendicular to the Plane of ...
Σελίδα 76
... Base are equal ; & , è contra . THEOREM VIII . Any two Sides of a Triangle , are together greater than the Third Side . N. B. Thefe Five Theorems laft mentioned , are demonstrated after the fame Manner as in Plain Trian- gles ; as being ...
... Base are equal ; & , è contra . THEOREM VIII . Any two Sides of a Triangle , are together greater than the Third Side . N. B. Thefe Five Theorems laft mentioned , are demonstrated after the fame Manner as in Plain Trian- gles ; as being ...
Σελίδα 78
... Base AC , viz . the Angle 4C B , will be Greater , Equal , or Less , than the External and Oppofite Angle B CD ; and fo the Sum of the Angles AAC B , fhall be Greater , Equal , or Lefs , than two Right Angles . 1. Let the Sides ...
... Base AC , viz . the Angle 4C B , will be Greater , Equal , or Less , than the External and Oppofite Angle B CD ; and fo the Sum of the Angles AAC B , fhall be Greater , Equal , or Lefs , than two Right Angles . 1. Let the Sides ...
Σελίδα 85
... Base B , and C , be of the fame Affection , then the Perpendicular falls within the Triangle ; and if they be of a different Affection , the Perpendicular falls with- out the Triangle . Demonftration . Cafe 1. In the first Triangle if ...
... Base B , and C , be of the fame Affection , then the Perpendicular falls within the Triangle ; and if they be of a different Affection , the Perpendicular falls with- out the Triangle . Demonftration . Cafe 1. In the first Triangle if ...
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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.