The Young Trigonometer's Compleat Guide: Being the Mystery and Rationale of Plane Trigonometry Made Clear and Easy, Band 1J. Noon, 1736 - 328 Seiten |
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Seite iii
... also other Terms of the Art . The Theorems contain all the My- ftery of the Science , on a Demonftration and due un- derfanding of which depends the Rationale of Trigo- nometry ; that is , the Reason of all the various Ope- rations of ...
... also other Terms of the Art . The Theorems contain all the My- ftery of the Science , on a Demonftration and due un- derfanding of which depends the Rationale of Trigo- nometry ; that is , the Reason of all the various Ope- rations of ...
Seite xiv
... also fuch as Repeat or Circalate ad Infinitum ; and a Plain but perfect Management of both , laid down and ex- plained in all the Fundamental Rules of Plain Arithmetick , and by Logarithms . II . The Application and Ufe of De- cimal ...
... also fuch as Repeat or Circalate ad Infinitum ; and a Plain but perfect Management of both , laid down and ex- plained in all the Fundamental Rules of Plain Arithmetick , and by Logarithms . II . The Application and Ufe of De- cimal ...
Seite 12
... also B = D D = b viz . C = a Confequently all the oppofite and 2. E. D. alternate Angles are equal Theorem IV . The Three Angles of every Plain Triangle , are together equal to two Right Angles , E པགས་ ་ ་ གས Demonftration . F Since ...
... also B = D D = b viz . C = a Confequently all the oppofite and 2. E. D. alternate Angles are equal Theorem IV . The Three Angles of every Plain Triangle , are together equal to two Right Angles , E པགས་ ་ ་ གས Demonftration . F Since ...
Seite 19
... Also the Angle is half the Arch it ftands on ABC - But both the Arches , viz . ABC + ADC D B make the whole Circle ; Ergo A D B + D are half the Circle , or two Right Angles . Q. E. D. Theorem XIV . Triangles between the fame or Equi ...
... Also the Angle is half the Arch it ftands on ABC - But both the Arches , viz . ABC + ADC D B make the whole Circle ; Ergo A D B + D are half the Circle , or two Right Angles . Q. E. D. Theorem XIV . Triangles between the fame or Equi ...
Seite 21
... also are the Sides AC FD Therefore it will be , AB : AF ( = CD ) :: BC : CE . > And by Permutation ; Thus tis proved AB : BC :: CD : CE BC : AC :: CE : DE And by Equality AB : AC :: CD : DE . QE D. ) Note . This latter Part of the ...
... also are the Sides AC FD Therefore it will be , AB : AF ( = CD ) :: BC : CE . > And by Permutation ; Thus tis proved AB : BC :: CD : CE BC : AC :: CE : DE And by Equality AB : AC :: CD : DE . QE D. ) Note . This latter Part of the ...
Häufige Begriffe und Wortgruppen
alfo alſo Altitude Analogy Angle of Incidence Arch Axiom Bafe Baſe becauſe Body Cafe II Cathetus Center Co-Sine Compaffes confequently Conftruction Corol Courſe defcribe Degrees Demonftration Diameter Difference Diſtance Divifions eafy Earth Eclipfe Elevation equal faid fame fecond fhall fhew find the Side firft firſt Flanked Angle folved fome fuch fufficient fuppofe given greateſt Height Hence Hypothenufe Inclination inclined Plane Inftrument Interfection laft Latitude leaft Line of Numbers Logarithms meaſure Meridian Method Miles moft Moon moſt Motion muft muſt obferve Oblique Triangles oppofite Parallax Parallel Perpen Plain Triangles Plain Trigonometry Plane Pofition Point Propofition Purpoſe Quadrant Quantity Radius Rays Reafon refolved Refraction Right Triangles Right-angled Triangle Right-line Scheme Secants Semidiameter Shadow Side BC Sine Sliding Rule Square Tabular Tangent thefe Theor Theorem thereof theſe thofe thoſe thro Triangle ABC True Anomaly uſeful whence whofe
Beliebte Passagen
Seite 35 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Seite 300 - IV. Refraction out of the rarer Medium into the denser, is made towards the Perpendicular; that is, so that the Angle of Refraction be less than the Angle of Incidence. AX. V. The Sine of Incidence is either accurately or very nearly in a given Ratio to the Sine of Refraction.
Seite 8 - ... things equal to one and the fame thing are equal to one another...
Seite 301 - Having given the radius of an arc of any colour in the secondary rainbow, find the ratio of the sine of incidence to the sine of refraction when rays of that colour pass out of air into water.
Seite 31 - Since any arc is less than the tangent, and greater than its sine, and the sine and tangent of a very small arc are nearly equal; it follows, that the arc will...
Seite 69 - ... degrees at the bottom of the page, and the minutes in the right-hand column.
Seite 26 - TT is manifeft that CB is the Sine of the Arc CD, •*• and AB the Cofine thereof; but the Arc CD is the Meafure of the Angle A, and the Complement of the Meafure of the Angle C. Moreover, if AB, in the Figure to...
Seite 25 - The radius is a mean proportional between the tangent and cotangent of any angle ABC.
Seite 34 - So is the Tangent of half the Sum of the oppofite Angles to the Tangent of half their Difference.
Seite 255 - The change of motion is always proportional to the moving force impressed, and is always made according to the right line, in .which that force is impressed.