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 118
And if the Multiple of the first be greater than the Multiple of the second , and also
the Multiple of the third greater than the Multiple of the fourth : Or , if the Multiple
of the first be equal to the Multiple of the second ; and also the Multiple of the ...
And if the Multiple of the first be greater than the Multiple of the second , and also
the Multiple of the third greater than the Multiple of the fourth : Or , if the Multiple
of the first be equal to the Multiple of the second ; and also the Multiple of the ...
Side 126
ET the Magnitude AB be the fame Multiple of the Magnitude CD , as the Part
taken away AE is of the Part taken away CF. I say that the Residue EB is the
same B Multiple of the Residue FD , as the G whole AB is of the whole CD . For
let EB be ...
ET the Magnitude AB be the fame Multiple of the Magnitude CD , as the Part
taken away AE is of the Part taken away CF. I say that the Residue EB is the
same B Multiple of the Residue FD , as the G whole AB is of the whole CD . For
let EB be ...
Side 127
And then becaufe AE is the same Multiple of CF , as EB is of CG , and CG is
equal to DF ; AE shall be the fame Multiple of CF , as EB is of FD . But AE is put
the fame Multiple of CF as AB is of CD . Therefore EB is the fame Multiple of FD ,
as AB ...
And then becaufe AE is the same Multiple of CF , as EB is of CG , and CG is
equal to DF ; AE shall be the fame Multiple of CF , as EB is of FD . But AE is put
the fame Multiple of CF as AB is of CD . Therefore EB is the fame Multiple of FD ,
as AB ...
Side 130
thän K , M will not be greater than K , that is , ķ will not be less than M. And since
FG is the same Multiple of AE ; às ĠH is of EB ; FG shall be * 1 of this . * the fame
Multiple of AE ; as FH is of AB , but FG is the same Multiple of A E , as K is of C ...
thän K , M will not be greater than K , that is , ķ will not be less than M. And since
FG is the same Multiple of AE ; às ĠH is of EB ; FG shall be * 1 of this . * the fame
Multiple of AE ; as FH is of AB , but FG is the same Multiple of A E , as K is of C ...
Side 138
P K Because GH is the same Multiple of AE as HK is of B N * I of this E B .;
therefore GH * is the fame Multiple of A E , as GK D E M is of AB . But GH is the F
fame Multiple of AE , as LM is of CF. Wherefore GK G C L is the fame Multiple of
AB , 25 ...
P K Because GH is the same Multiple of AE as HK is of B N * I of this E B .;
therefore GH * is the fame Multiple of A E , as GK D E M is of AB . But GH is the F
fame Multiple of AE , as LM is of CF. Wherefore GK G C L is the fame Multiple of
AB , 25 ...
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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 |