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 |
Inni boken
Resultat 1-5 av 7
Side 19
THE O R E M. The greater Angle of every Triangle subtends the greater Side , LE
ET ABC be a Triangle , having the Angle ABC greater than the Angle BCA . I say
the Side AC is greater than the Side A B. For if it be not greater , AC is either ...
THE O R E M. The greater Angle of every Triangle subtends the greater Side , LE
ET ABC be a Triangle , having the Angle ABC greater than the Angle BCA . I say
the Side AC is greater than the Side A B. For if it be not greater , AC is either ...
Side 20
Angle fubtends * the greater Side ; the Side DB will be gieater than the Side BC .
But DB is equal to BA and AC together . Wherefore the Sides BA , AC , together ,
are greater than the Side BC . In the same Manner we demonstrate , that the ...
Angle fubtends * the greater Side ; the Side DB will be gieater than the Side BC .
But DB is equal to BA and AC together . Wherefore the Sides BA , AC , together ,
are greater than the Side BC . In the same Manner we demonstrate , that the ...
Side 135
this . so exceed N. But H does not exceed L. And M , H , are Equimultiples of A , E
; and N , L , any others of B , F. Therefore A has a * greater Proportion to * 7 Def ,
of B than E has to F. Wherefore , if the firft has the same Proportion to the ...
this . so exceed N. But H does not exceed L. And M , H , are Equimultiples of A , E
; and N , L , any others of B , F. Therefore A has a * greater Proportion to * 7 Def ,
of B than E has to F. Wherefore , if the firft has the same Proportion to the ...
Side 209
THEORE M. If there be three plane Angles , whereof two , ang bow taken , are
greater than the third , and tbe : Right Lines that contain them be equal ; then it is
possible to make a Triangle of the Right Lines joining the equal Right Lines ...
THEORE M. If there be three plane Angles , whereof two , ang bow taken , are
greater than the third , and tbe : Right Lines that contain them be equal ; then it is
possible to make a Triangle of the Right Lines joining the equal Right Lines ...
Side 239
remaining there be again taken a Part greater than its half , and this be done
continually , there will remain a Magnitude at last that shall be less than the
Magnitude C. For C being fome Number of Times multiplied , will become greater
than the ...
remaining there be again taken a Part greater than its half , and this be done
continually , there will remain a Magnitude at last that shall be less than the
Magnitude C. For C being fome Number of Times multiplied , will become greater
than the ...
Hva folk mener - Skriv en omtale
Vi har ikke funnet noen omtaler på noen av de vanlige stedene.
Andre utgaver - Vis alle
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 |