Spherical trigonometryJ. Noon, 1736 |
Inni boken
Resultat 1-5 av 25
Side 15
... Line Cq = ao , bo , co , which is the Right Sine of the Arch Ao , and the Line q B D is the Verfed Sine thereof . 2. E. D. THEOREM VIII . C999 A Circle parallel to the Plane of the Projection , is projected into a Circle equal to it ...
... Line Cq = ao , bo , co , which is the Right Sine of the Arch Ao , and the Line q B D is the Verfed Sine thereof . 2. E. D. THEOREM VIII . C999 A Circle parallel to the Plane of the Projection , is projected into a Circle equal to it ...
Side 17
... Line FG lefs than it felf , by Theorem 5. therefore fince FG is lefs than BE DC , it follows the Curve FDGC is an ... Co - fine of the Inclina- tion of that Right Line to the Plane of the Projection . VOL . II ... D Demon- Demonftration ...
... Line FG lefs than it felf , by Theorem 5. therefore fince FG is lefs than BE DC , it follows the Curve FDGC is an ... Co - fine of the Inclina- tion of that Right Line to the Plane of the Projection . VOL . II ... D Demon- Demonftration ...
Side 18
... Co - fine is DE FC . Make the given Line Radius DC : Then , as the given Right Line DC Is to its Projection FC DE :: Radius : to the Co - fine of AC D. Q. E. D. Corollary . Hence the Radius DC , the Arch DG , and its right Sine D E ...
... Co - fine is DE FC . Make the given Line Radius DC : Then , as the given Right Line DC Is to its Projection FC DE :: Radius : to the Co - fine of AC D. Q. E. D. Corollary . Hence the Radius DC , the Arch DG , and its right Sine D E ...
Side 19
... Lines go , go , go , go , & c . to all the Lines Cf , Cf , Cf , & c . But all the Lines qo , conftitute the Quadrant C GB ; And all the Lines C f , conftitute the Area of its Projection CFH : Wherefore , as the Radius CD , : to the Co ...
... Lines go , go , go , go , & c . to all the Lines Cf , Cf , Cf , & c . But all the Lines qo , conftitute the Quadrant C GB ; And all the Lines C f , conftitute the Area of its Projection CFH : Wherefore , as the Radius CD , : to the Co ...
Side 22
... Lines ; ( by Theorem 6. ) as the Horizon , the Equinoctial , the Ecliptic , the Equinoctial Colure , the Azimuth of Eaft and Weft ; also the small right Circles . Practice . Firft defcribe the Solftitial Co- lure A EP 2 ; 22 Problems of ...
... Lines ; ( by Theorem 6. ) as the Horizon , the Equinoctial , the Ecliptic , the Equinoctial Colure , the Azimuth of Eaft and Weft ; also the small right Circles . Practice . Firft defcribe the Solftitial Co- lure A EP 2 ; 22 Problems of ...
Innhold
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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.