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 5
Side 131
For if it was not , A and B would not * have the * 8 of this , same Proportion to the
fame Magnitude C ; but they have . Therefore A is equal to B. B. Again , let C
have the same Proportion to A as to B. I say , A is equal to B. 10 For if it be not , C
will ...
For if it was not , A and B would not * have the * 8 of this , same Proportion to the
fame Magnitude C ; but they have . Therefore A is equal to B. B. Again , let C
have the same Proportion to A as to B. I say , A is equal to B. 10 For if it be not , C
will ...
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 145
PROPOSITION XXIV . THEOREM . If the first Magnitude has the same Proportion
to the second , as the third to the fourth ; and if the fifth has the same Proportion to
the second , as the fixtb bas to the fourth , then shall the first , com1. pounded ...
PROPOSITION XXIV . THEOREM . If the first Magnitude has the same Proportion
to the second , as the third to the fourth ; and if the fifth has the same Proportion to
the second , as the fixtb bas to the fourth , then shall the first , com1. pounded ...
Side 170
angle LHK , shall be in the duplicate Proportion of CE to HL . Therefore the
Triangle BEC is to the Triangle LGH , as the Triangle CED is to the Triangle LHK .
But it has been proved , that the Triangle EBC is to the Triangle LGH , as the
Triangle ...
angle LHK , shall be in the duplicate Proportion of CE to HL . Therefore the
Triangle BEC is to the Triangle LGH , as the Triangle CED is to the Triangle LHK .
But it has been proved , that the Triangle EBC is to the Triangle LGH , as the
Triangle ...
Side 175
Equiangular Parallelograms have the Proportion to one another that is
compounded of their Sides . I. having the Angle BCD equal to the Angle ECG . I
say , the Parallelogram AC , to the Parallelogram CF , is in the Proportion
compounded of ...
Equiangular Parallelograms have the Proportion to one another that is
compounded of their Sides . I. having the Angle BCD equal to the Angle ECG . I
say , the Parallelogram AC , to the Parallelogram CF , is in the Proportion
compounded of ...
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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 |