Euclid's Elements of Geometry: From the Latin Translation of Commandine. To which is Added, a Treatise of the Nature and Arithmetic of Logarithms; Likewise Another of the Elements of Plane and Spherical Trigonometry; with a Preface, Shewing the Usefulness and Excellency of this WorkW. Strahan, 1772 - 399 Seiten |
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Seite 336
... Subtangent A T , Fig . 4 . After Neper's Death , the excellent Mr. Henry Briggs , by great Pains , made and published Tables of Loga- rithms according to this Form . Now since in these Tables , the Logarithm of 10 , or the Distance ...
... Subtangent A T , Fig . 4 . After Neper's Death , the excellent Mr. Henry Briggs , by great Pains , made and published Tables of Loga- rithms according to this Form . Now since in these Tables , the Logarithm of 10 , or the Distance ...
Seite 351
... Subtangent , will every where be of a constant and given Length . And this is one of the chief Properties of the ... Subtangent AT is to the Subtangent MX . MX . For let there be supposed an infinite Number OF LOGARITHMS . 351.
... Subtangent , will every where be of a constant and given Length . And this is one of the chief Properties of the ... Subtangent AT is to the Subtangent MX . MX . For let there be supposed an infinite Number OF LOGARITHMS . 351.
Seite 352
... Subtangent of the Logarithmetick Curve be had . For the Excess be is to the Logarithım Bc , as Unity A B is to the Subtangent AT . Or even if there are any two Numbers nearly equal , their Dif- ference shall be to the Difference of ...
... Subtangent of the Logarithmetick Curve be had . For the Excess be is to the Logarithım Bc , as Unity A B is to the Subtangent AT . Or even if there are any two Numbers nearly equal , their Dif- ference shall be to the Difference of ...
Seite 353
... Subtangent . Now if the yearly Rate of Interest be . Part of the Principal , or if a == . 05 , then will MX x 20 . I Because in different Forms of Logarithms , the Logarithms of the same Number are proportional to the Subtangents of ...
... Subtangent . Now if the yearly Rate of Interest be . Part of the Principal , or if a == . 05 , then will MX x 20 . I Because in different Forms of Logarithms , the Logarithms of the same Number are proportional to the Subtangents of ...
Seite 354
... Subtangent 0,4342944 to 20.49 , and 1 I 4 then will a = - = .0488 . For if fuch a Part of 20.49 the Rate of Interest .0488 be supposed , as answers to a Moment , that is , having the fame Ratio to .0488 as a Moment has to a Year , and ...
... Subtangent 0,4342944 to 20.49 , and 1 I 4 then will a = - = .0488 . For if fuch a Part of 20.49 the Rate of Interest .0488 be supposed , as answers to a Moment , that is , having the fame Ratio to .0488 as a Moment has to a Year , and ...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2018 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2017 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2015 |
Häufige Begriffe und Wortgruppen
alfo alſo equal Altitude Angle ABC Angle BAC Bafe becauſe biſected Centre Circle ABCD Circle EFGH Circumference Cofine Cone conſequently Coroll Cylinder demonftrated deſcribed Diameter Diſtance drawn thro equal Angles equiangular Equimultiples faid fame Altitude fame Multiple fame Plane fame Proportion fame Reaſon fimilar fince firſt folid Parallelepipedon fore fubtending given Right Line greater join leſs likewiſe Logarithm Magnitudes Meaſure Number oppofite parallel Parallelogram perpendicular Polygon Priſm Prop PROPOSITION Pyramid Quadrant Ratio Rectangle Rectangle contained remaining Angle Right Angles Right Line A B Right-lined Figure ſame ſay ſecond Segment Semicircle ſhall be equal Sides ſince Sine ſome Sphere Square ſtand Subtangent THEOREM thereof theſe thoſe three Right Lines tiple Triangle ABC Unity Vertex the Point Wherefore whole whoſe Baſe
Beliebte Passagen
Seite 193 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Seite 163 - IF two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals : the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.
Seite 168 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles...
Seite 18 - ... sides equal to them of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB...
Seite 52 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Seite 121 - GB is equal to E, and HD to F; GB and HD together are equal to E and F together : wherefore as many magnitudes as...
Seite 213 - CD; therefore AC is a parallelogram. In like manner, it may be proved that each of the figures CE, FG, GB, BF, AE, is a parallelogram...
Seite 194 - ABC, and they are both in the same plane, which is impossible ; therefore the straight line BC is not above the plane in which are BD and BE: wherefore, the three straight lines BC, BD, BE are in one and the same plane. Therefore, if three straight lines, &c.
Seite 159 - And because HE is parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is...
Seite 205 - A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes, are perpendicular to the other plane. V. The inclination of a straight line to a plane...