The Young Trigonometer's Compleat Guide: Being the Mystery and Rationale of Plane Trigonometry Made Clear and Easy, المجلد 1J. Noon, 1736 - 328 من الصفحات |
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الصفحة xii
... Point of Convergence of Rays refracted from a convex Surface in a Body of Glass . 315 X. To calculate the Focal Diftance of Rays falling pa rallel on the Plain Surface of a Plano - convex Lenfe . XI . of the Nature of a Plano - concave ...
... Point of Convergence of Rays refracted from a convex Surface in a Body of Glass . 315 X. To calculate the Focal Diftance of Rays falling pa rallel on the Plain Surface of a Plano - convex Lenfe . XI . of the Nature of a Plano - concave ...
الصفحة xvi
... . Sine ; as sB , is the Sine of B. Tangent ; Secant . If there be any more , which I do not think of , the Reader will find them explained in their Places , in the Body of the Work . CHAP . I. CHAP . I. Of Geometrical Definitions . A Point.
... . Sine ; as sB , is the Sine of B. Tangent ; Secant . If there be any more , which I do not think of , the Reader will find them explained in their Places , in the Body of the Work . CHAP . I. CHAP . I. Of Geometrical Definitions . A Point.
الصفحة 1
... Point , as AB , CD . III . A Superficies or Sur- face , is Length and Breadth without Thickness , and ter- minated by one or more Lines ; as A , B , C. IV . An Angle is the In- clination or Meeting of two Lines in one Point ; B or the ...
... Point , as AB , CD . III . A Superficies or Sur- face , is Length and Breadth without Thickness , and ter- minated by one or more Lines ; as A , B , C. IV . An Angle is the In- clination or Meeting of two Lines in one Point ; B or the ...
الصفحة 2
... Point C , every way equally diftant from the Periphery . XI . The Diameter of a Cir- cle is a Line paffing through the Center , and ending at the Peri- phery on each Side ; as the Line A B. XII . A Semicircle ( i . e half a XII . 2 ...
... Point C , every way equally diftant from the Periphery . XI . The Diameter of a Cir- cle is a Line paffing through the Center , and ending at the Peri- phery on each Side ; as the Line A B. XII . A Semicircle ( i . e half a XII . 2 ...
الصفحة 9
... Point to another . II . That a Right Line may be Produced , or made Longer from both Ends . III . That upon any Given Point , or Center , and with any Given Distance , or Radius , a Circle may be described . Geometrical Terms . A ...
... Point to another . II . That a Right Line may be Produced , or made Longer from both Ends . III . That upon any Given Point , or Center , and with any Given Distance , or Radius , a Circle may be described . Geometrical Terms . A ...
عبارات ومصطلحات مألوفة
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
مقاطع مشهورة
الصفحة 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.
الصفحة 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.
الصفحة 8 - ... things equal to one and the fame thing are equal to one another...
الصفحة 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.
الصفحة 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...
الصفحة 69 - ... degrees at the bottom of the page, and the minutes in the right-hand column.
الصفحة 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...
الصفحة 25 - The radius is a mean proportional between the tangent and cotangent of any angle ABC.
الصفحة 34 - So is the Tangent of half the Sum of the oppofite Angles to the Tangent of half their Difference.
الصفحة 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.