The Young Trigonometer's Compleat Guide: Being the Mystery and Rationale of Plane Trigonometry Made Clear and Easy, 第 1 巻J. Noon, 1736 - 328 ページ |
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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
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35 ページ - 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.
300 ページ - 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.
8 ページ - ... things equal to one and the fame thing are equal to one another...
301 ページ - 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.
31 ページ - 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...
69 ページ - ... degrees at the bottom of the page, and the minutes in the right-hand column.
26 ページ - 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...
25 ページ - The radius is a mean proportional between the tangent and cotangent of any angle ABC.
34 ページ - So is the Tangent of half the Sum of the oppofite Angles to the Tangent of half their Difference.
255 ページ - 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.