## 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 328

For Example , as is in the fifth Place from

diftant from

Terms i and a , there be put a mean Proportional which is d , the Index of this will

...

For Example , as is in the fifth Place from

**Unity**, qó is the fixth , or fix times morediftant from

**Unity**than an or a ' , which immediately follows**Unity**. If between theTerms i and a , there be put a mean Proportional which is d , the Index of this will

...

Side 333

by Computation , that in the fame Series from

proportional Terms , that is , the Number 2 will stand in the 3010300 Place . In

like Manner , from

which ...

by Computation , that in the fame Series from

**Unity**, to 2 there are 3010300proportional Terms , that is , the Number 2 will stand in the 3010300 Place . In

like Manner , from

**Unity**to 3 , there will be found 4771213 , proportional Terms ,which ...

Side 334

In the first Kind of Logarithms that Neper publifh'd , the first Term of the continual

Proportionals was placed only fo far diftant from

In the first Kind of Logarithms that Neper publifh'd , the first Term of the continual

Proportionals was placed only fo far diftant from

**Unity**, as that Term exceeded**Unity**. For Example , if un be the firft Term of the Series from**Unity**A B , the ... Side 339

the Logarithm thereof , according to this Suppofition , will not be o , but O A will be

10.000.000 ; for i the Distance of any Tenth from

Distance of the Number 10 from PO will : be 11.0000000 . Also the Distance of ...

the Logarithm thereof , according to this Suppofition , will not be o , but O A will be

10.000.000 ; for i the Distance of any Tenth from

**Unity**is 1.000000o , whence theDistance of the Number 10 from PO will : be 11.0000000 . Also the Distance of ...

Side 340

So allo if the Index of

Figure thereof shall be in the 20th Place from

prefixed thereto . Now , let it be required to multiply the Fraction GH by the

Fraction ...

So allo if the Index of

**Unity**be 100 , and the Index of the Fraction be 8o , the firstFigure thereof shall be in the 20th Place from

**Unity**, and 19 Cyphers are to beprefixed thereto . Now , let it be required to multiply the Fraction GH by the

Fraction ...

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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.