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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Side 118
That is , if there be four Magnitudes , and you take any Equimultiples of the first
and third , and also any Equimultiples of the second and fourth . And if the
Multiple of the first be greater than the Multiple of the second , and also the
Multiple of ...
That is , if there be four Magnitudes , and you take any Equimultiples of the first
and third , and also any Equimultiples of the second and fourth . And if the
Multiple of the first be greater than the Multiple of the second , and also the
Multiple of ...
Side 134
PROPOSITION XIII , THE ORI M. If the first bas the same Proportion to the second
, as the third to the fourth , and if the third bas a greater Proportion to the fourth
than the fifth to the sixth ; then also shall the first have a greater Proportion to the
...
PROPOSITION XIII , THE ORI M. If the first bas the same Proportion to the second
, as the third to the fourth , and if the third bas a greater Proportion to the fourth
than the fifth to the sixth ; then also shall the first have a greater Proportion to the
...
Side 135
If the first has the same Proportion to the second , as the third bas to the fourth ;
and if the first be greater than the third ; then will the second be greater than the
fourth . But if the first be equal to the third , then the second hall be equal to the ...
If the first has the same Proportion to the second , as the third bas to the fourth ;
and if the first be greater than the third ; then will the second be greater than the
fourth . But if the first be equal to the third , then the second hall be equal to the ...
Side 142
If firft Magnitude be greater than the third , then the fou will be greater than the
sixth : But if the first becq to the third , then the fourth will be equal to the fixt and if
the first be less than the third , the fourth will less than the fixth ; which was to be ...
If firft Magnitude be greater than the third , then the fou will be greater than the
sixth : But if the first becq to the third , then the fourth will be equal to the fixt and if
the first be less than the third , the fourth will less than the fixth ; which was to be ...
Side 145
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 with the fiftb , bave the same ...
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 with the fiftb , bave the same ...
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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 |