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 256
Cylinder ; and doing this continually , we shall at last have certain Portions of the
Cylinder left , that are less than the Excess by which the Cylinder exceeds triple
the Cone . Now let these Portions remaining be AE , E B , BF , FC , CG , GD , DH
...
Cylinder ; and doing this continually , we shall at last have certain Portions of the
Cylinder left , that are less than the Excess by which the Cylinder exceeds triple
the Cone . Now let these Portions remaining be AE , E B , BF , FC , CG , GD , DH
...
Side 258
THE O - R E M. Cones and Cylinders of the fame Altitude are to one another as
their Bases . ... For if it be not so , it shall be as the Circle ABCD is to the Circle
EFGH , so is the Cone AL to some Solid either less or greater than the Cone EN .
THE O - R E M. Cones and Cylinders of the fame Altitude are to one another as
their Bases . ... For if it be not so , it shall be as the Circle ABCD is to the Circle
EFGH , so is the Cone AL to some Solid either less or greater than the Cone EN .
Side 259
Therefore the Pyramid remaining , whose Base is the Polygon HOEPFRGS , and
Altitude the fame as that of the Cone , is greater than the Solid X. Let the Polygon
DTAYBQCV be described in the Circle ABCD , similar and alike fituate to the ...
Therefore the Pyramid remaining , whose Base is the Polygon HOEPFRGS , and
Altitude the fame as that of the Cone , is greater than the Solid X. Let the Polygon
DTAYBQCV be described in the Circle ABCD , similar and alike fituate to the ...
Side 260
Z is to the Cone AL , so is the Cone EN to some Solid less than the Cone AL .
And therefore as the Circle EFGH is to the Circle ABCD , fo is the Cone EN to
fome Solid less than the Cone AL ; which has been proved to be impoffible .
Therefore ...
Z is to the Cone AL , so is the Cone EN to some Solid less than the Cone AL .
And therefore as the Circle EFGH is to the Circle ABCD , fo is the Cone EN to
fome Solid less than the Cone AL ; which has been proved to be impoffible .
Therefore ...
Side 263
But the Cone whose Base is the Circle ABCD , and Vertex the Point L , is
fuppofed to have to the Solid X a triplicate Proportion of that which BD has to FH .
Therefore as the Cone , whose Base is the Circle ABCD , and Vertex the Point L ,
is to ...
But the Cone whose Base is the Circle ABCD , and Vertex the Point L , is
fuppofed to have to the Solid X a triplicate Proportion of that which BD has to FH .
Therefore as the Cone , whose Base is the Circle ABCD , and Vertex the Point L ,
is to ...
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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 |