## 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 |

### Inni boken

Resultat 1-5 av 5

Side 332

The Distance between any two

those

Terms in a given Series of Geometrical Proportionals proceeding from one ...

The Distance between any two

**Numbers**, is called the Logarithm of the Ratio ofthose

**Numbers**, and indeed doth not measure the Ratio itself , but the**Number**ofTerms in a given Series of Geometrical Proportionals proceeding from one ...

Side 335

first Place to the Left - Hand ; for they are leffer than the Logarithm of the

10 , whose Beginning is Unity ; and the Logarithms of the

and 100 begin with Unity ; for they are greater than 1,0000000 , and less than 2 ...

first Place to the Left - Hand ; for they are leffer than the Logarithm of the

**Number**10 , whose Beginning is Unity ; and the Logarithms of the

**Numbers**between 10and 100 begin with Unity ; for they are greater than 1,0000000 , and less than 2 ...

Side 353

And from hence appears the Reason of the Correction of

Logarithms by Differences and proportional ... this Root or

middle Place between Unity and the

be į of ...

And from hence appears the Reason of the Correction of

**Numbers**andLogarithms by Differences and proportional ... this Root or

**Number**will be in themiddle Place between Unity and the

**Number**10 , and the Logarithm thereof shallbe į of ...

Side 354

Let this

before them , denote the Difference bc . Then fay , As the Difference rs is to the

Difference b c , so is Bra given Logarithm , to Bc , or A a , the Logarithm of the ...

Let this

**Number**be ab , and let the significative Figures with the Cyphers prefixedbefore them , denote the Difference bc . Then fay , As the Difference rs is to the

Difference b c , so is Bra given Logarithm , to Bc , or A a , the Logarithm of the ...

Side 368

as the Value of the Ratio of Unity to any

Unity to that

equal Ratiunculæ contain'd between the two Terms thereof ; whence if in a ...

as the Value of the Ratio of Unity to any

**Number**, is the Logarithm of the Ratio ofUnity to that

**Number**, so each Ratio is suppos'd to be measur'd by the**Number**ofequal Ratiunculæ contain'd between the two Terms thereof ; whence if in a ...

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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.