Euclid's Elements of Geometry: From the Latin Translation of Commandine. To which is Added, A Treatise of the Nature of Arithmetic of Logarithms ; Likewise Another of the Elements of Plain and Spherical Trigonometry ; with a Preface |
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Resultat 1-5 av 6
Side 279
PROPOSITION V. The Sines of two Arcs BD , FD , being given , to find F I the Sine
of the Sum , as likewise EL , the Sine of their Difference . I ET the Radius CD be
drawn , and then CO is the Cosine of the Arc FD , which accordingly is given ...
PROPOSITION V. The Sines of two Arcs BD , FD , being given , to find F I the Sine
of the Sum , as likewise EL , the Sine of their Difference . I ET the Radius CD be
drawn , and then CO is the Cosine of the Arc FD , which accordingly is given ...
Side 280
Degrees , the Difference of the Sines shall be equal to the Sine of the Distance
FD . . Coroll . 2 . Hence , if the Sines of all Arcs be given distant from one another
by a given Interval , from the Beginning of a Quadrant to 60 Degrees , the other ...
Degrees , the Difference of the Sines shall be equal to the Sine of the Distance
FD . . Coroll . 2 . Hence , if the Sines of all Arcs be given distant from one another
by a given Interval , from the Beginning of a Quadrant to 60 Degrees , the other ...
Side 288
In a plain Triangle , the Sum of the Legs , the Difference of the Legs , the Tangent
of the half Sum of the Angles at the Base , and the Tangent of one half their
Difference , are proportional . ET there be a Triangle ABC , whose Legs are AB ,
BC ...
In a plain Triangle , the Sum of the Legs , the Difference of the Legs , the Tangent
of the half Sum of the Angles at the Base , and the Tangent of one half their
Difference , are proportional . ET there be a Triangle ABC , whose Legs are AB ,
BC ...
Side 289
let fall BE perpendicular to the Base ; then shall DG = DB + BC = Sum of the
Sides , and DH = Difference of the Sides ; and DE , CE , are the Segments of the
Base whose . Difference is DF ; because ( by Cor . Prop . 38. El . 3. ) the
Rectangle ...
let fall BE perpendicular to the Base ; then shall DG = DB + BC = Sum of the
Sides , and DH = Difference of the Sides ; and DE , CE , are the Segments of the
Base whose . Difference is DF ; because ( by Cor . Prop . 38. El . 3. ) the
Rectangle ...
Side 311
Wherefore it shall be as A ExFM : AOXON :: 1LxMH MH IL MH MHxGN , or as IL
to GN , that is , XGN oras the Rectangle , under the Sines of the Legs , is to the
Square of Radius , as the Difference of the versed Sines JL . l . GN . of the Base ...
Wherefore it shall be as A ExFM : AOXON :: 1LxMH MH IL MH MHxGN , or as IL
to GN , that is , XGN oras the Rectangle , under the Sines of the Legs , is to the
Square of Radius , as the Difference of the versed Sines JL . l . GN . of the Base ...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... John Keill Uten tilgangsbegrensning - 1723 |
Vanlige uttrykk og setninger
added alſo Altitude Angle ABC Baſe becauſe Center Circle Circle ABCD Circumference common Cone conſequently contained Cylinder demonſtrated deſcribed Diameter Difference Diſtance divided double draw drawn equal equal Angles equiangular Equimultiples exceeds fall fame firſt fore four fourth given greater half join leſs likewiſe Logarithm Magnitudes Manner mean Multiple Number oppoſite parallel Parallelogram perpendicular Place Plane Point Polygon Priſms produced Prop Proportion PROPOSITION proved Pyramid Radius Ratio Rectangle remaining Right Angles Right Line Right-lined Figure ſaid ſame ſame Reaſon ſay ſecond Segment Series ſhall ſhall be equal Sides ſimilar ſince Sine Solid ſome Sphere Square ſtand taken Terms THEOREM thereof theſe third thoſe thro touch Triangle Triangle ABC Unity Wherefore whole whoſe Baſe
Populære avsnitt
Side 66 - 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.
Side 161 - 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.
Side 110 - And in like manner it may be shown that each of the angles KHG, HGM, GML is equal to the angle HKL or KLM ; therefore the five angles GHK, HKL, KLM, LMG, MGH...
Side 88 - IN a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 22 - ... 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...
Side 9 - ... 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 equal to DE, and AC to DF ; but the base CB greater than the base EF ; the angle BAC is likewise greater than the angle EDF.
Side 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Side 33 - ... therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i.
Side 111 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Bibliografisk informasjon
| Tittel | Euclid's Elements of Geometry: From the Latin Translation of Commandine. To which is Added, A Treatise of the Nature of Arithmetic of Logarithms ; Likewise Another of the Elements of Plain and Spherical Trigonometry ; with a Preface |
| Forfatter | John Keill |
| Redaktører | Mr. Cunn (Samuel), John Ham |
| Utgiver | T. Woodward, 1733 |
| Original fra | University of Michigan |
| Digitalisert | 8. jun 2007 |
| Lengde | 397 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |