Spherical trigonometryJ. Noon, 1736 |
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Σελίδα 15
... Demonstration . THEOREM IX . A Circle oblique to the Plane of the Projection , is projected into an Ellipfis on the faid Plane . Demon- Suppose the Circle Demonftration . CBDE inter- fect the Plane Orthographic Projection . 15.
... Demonstration . THEOREM IX . A Circle oblique to the Plane of the Projection , is projected into an Ellipfis on the faid Plane . Demon- Suppose the Circle Demonftration . CBDE inter- fect the Plane Orthographic Projection . 15.
Σελίδα 17
... Demonstration of this Theorem in every of its Parts ; as is eafy to conceive from , what has been hitherto demonftrated of Lines and Circles . THEOREM XI . The Quantity of any Right Line is to its Quantity when projected , as Radius to ...
... Demonstration of this Theorem in every of its Parts ; as is eafy to conceive from , what has been hitherto demonftrated of Lines and Circles . THEOREM XI . The Quantity of any Right Line is to its Quantity when projected , as Radius to ...
Σελίδα 166
... Demonstration of the foregoing Trigonometrical The- orems ; thefe Things are the Grounds and Rudiments of this Part of our Art ; in all which the young Stu- dent is presupposed to be confiderably well verfed , ' ere he enters on the ...
... Demonstration of the foregoing Trigonometrical The- orems ; thefe Things are the Grounds and Rudiments of this Part of our Art ; in all which the young Stu- dent is presupposed to be confiderably well verfed , ' ere he enters on the ...
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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.