Spherical trigonometryJ. Noon, 1736 - Plane trigonometry |
From inside the book
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Page i
... Nature and Rationale of Spherical Triangles . VI . A Synopsis of all the Cafes of a Right Angled Spherical Triangle ... Natural Sines Tangents , VII . By the Globe or Sphere . VIII . By the Stereographic Pro- & c . III . By the Lord ...
... Nature and Rationale of Spherical Triangles . VI . A Synopsis of all the Cafes of a Right Angled Spherical Triangle ... Natural Sines Tangents , VII . By the Globe or Sphere . VIII . By the Stereographic Pro- & c . III . By the Lord ...
Page iii
... Nature , Defign , and Use of this Work . In this Second are contained all the Parts of Spherical Trigonometry , which I have en- deavoured to explain in a Method ( as I think ) the most easy and perfpicuous ; fo that I hope what has ...
... Nature , Defign , and Use of this Work . In this Second are contained all the Parts of Spherical Trigonometry , which I have en- deavoured to explain in a Method ( as I think ) the most easy and perfpicuous ; fo that I hope what has ...
Page vi
... the Explication of the Doctrine of Spherical Triangles in general ; by which is fhewn the Reason of the feveral Canons for their Solution 74 Chap . 1 Chap . VIII . Of the Nature , Cafes , vi The Contents of this Book .
... the Explication of the Doctrine of Spherical Triangles in general ; by which is fhewn the Reason of the feveral Canons for their Solution 74 Chap . 1 Chap . VIII . Of the Nature , Cafes , vi The Contents of this Book .
Page vii
Benjamin Martin. Chap . VIII . Of the Nature , Cafes , Analogies , and various Methods of Solving Right - angled ... Natural Sines and Tangents Chap . X. Chap . XI . 105 112 Method 3. By the Lord Neiper's Five Circular Parts 117 Chap . XI ...
Benjamin Martin. Chap . VIII . Of the Nature , Cafes , Analogies , and various Methods of Solving Right - angled ... Natural Sines and Tangents Chap . X. Chap . XI . 105 112 Method 3. By the Lord Neiper's Five Circular Parts 117 Chap . XI ...
Page xi
... of Dialling ; fhewing the Nature and diverfe Kinds of Planes , and bow Hour - Lines are to be drawn on each of them , by the Problems following , viz . Home 323 Prob , - ibid . 326 327 Prob . 1. To find The Contents of this Book . xi.
... of Dialling ; fhewing the Nature and diverfe Kinds of Planes , and bow Hour - Lines are to be drawn on each of them , by the Problems following , viz . Home 323 Prob , - ibid . 326 327 Prob . 1. To find The Contents of this Book . xi.
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Common terms and phrases
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
Popular passages
Page 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...
Page 185 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 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.
Page 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.
Page 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.
Page 241 - It commences in the morning and ends in the evening, when the sun is 18° below the horizon.
Page 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.
Page 365 - Dialogue, adapted purpofely to the Capacities of the Youth of both Sexes ; and adorned and illuftrated with variety of Copper- Plates.
Page 75 - Side *»» is the Supplement of the Angle H, and the Angle E of the Side G D.
Page 205 - Superficies to M ; And, as two right Angles are to F, So is half the fpherical Superficies to K.