Spherical trigonometryJ. Noon, 1736 |
Inni boken
Resultat 1-5 av 100
Side 35
... Tangents . Demonftration . Let the Plane of the Projection be AIBK , and the given Right Circle A E BD ; let the Part to be pro- jected be DR ; thro ' the Point F ... Tangent of half the Arch D F. And The Stereographical Projection . 35.
... Tangents . Demonftration . Let the Plane of the Projection be AIBK , and the given Right Circle A E BD ; let the Part to be pro- jected be DR ; thro ' the Point F ... Tangent of half the Arch D F. And The Stereographical Projection . 35.
Side 36
Benjamin Martin. is the Tangent of half the Arch D F. And thus the Line CB , is the Tangent of half the Arch DB ; fo the Line CL will be the Half Tangent of DN . Thus is the Semicircle DB E , and confequently th Whole Circle AEB D ...
Benjamin Martin. is the Tangent of half the Arch D F. And thus the Line CB , is the Tangent of half the Arch DB ; fo the Line CL will be the Half Tangent of DN . Thus is the Semicircle DB E , and confequently th Whole Circle AEB D ...
Side 37
... Tangent of the Arch FK , and therefore equal to the Tangent of the Arch AG , which is the Elevation of the Oblique Circle E MN , above the Plane of the Primitive . 2 , E. D. : Corollary . Hence because the Secant of the Elevation EC ...
... Tangent of the Arch FK , and therefore equal to the Tangent of the Arch AG , which is the Elevation of the Oblique Circle E MN , above the Plane of the Primitive . 2 , E. D. : Corollary . Hence because the Secant of the Elevation EC ...
Side 39
... Tangents of the Arches HQ , and QG ; But the Arch QH = FC , QG = CE ; Therefore fhall the Lines 2f , and Qe , be the Semi - Tangents of the greatest Distance CF , and of the leaft Distance CE of the leffer Circle CIE , from the Pole of ...
... Tangents of the Arches HQ , and QG ; But the Arch QH = FC , QG = CE ; Therefore fhall the Lines 2f , and Qe , be the Semi - Tangents of the greatest Distance CF , and of the leaft Distance CE of the leffer Circle CIE , from the Pole of ...
Side 40
... Tangents of the Arches 2b , QH ; But the Arch 2b = ÷ CF , QH = CA ; Therefore will the Lines 2f , 2a , a B A be the Half - Tangents of the greatest and leaft Distance CA , CF , of the leffer Circle FIA , from the Pole of the Primitive C ...
... Tangents of the Arches 2b , QH ; But the Arch 2b = ÷ CF , QH = CA ; Therefore will the Lines 2f , 2a , a B A be the Half - Tangents of the greatest and leaft Distance CA , CF , of the leffer Circle FIA , from the Pole of the Primitive C ...
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.