## 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 165

... the Rectangle contained under the

proportional ; which was to be demonstrated . ... is equal to the Square of the

... the Rectangle contained under the

**Means**, then are the four Right Linesproportional ; which was to be demonstrated . ... is equal to the Square of the

**Mean**; and if the Rectangle under the Extremes be equal to the Square of the**Mean**, then ... Side 328

If between the Terms i and a , there be put a

Index of this will be for its Distance from Unity will be one half of the Distance of a

from Unity ; and fo a { may be written ✓ a . And if a

If between the Terms i and a , there be put a

**mean**Proportional which is d , theIndex of this will be for its Distance from Unity will be one half of the Distance of a

from Unity ; and fo a { may be written ✓ a . And if a

**mean**proportional be put ... Side 354

But I think it may be more proper here to add a new Series , by

may be found easily and expeditiously the ... which let be called y : - Therefore ,

also the Logarithm of a Number , which is a Geometrical

zti ...

But I think it may be more proper here to add a new Series , by

**Means**of whichmay be found easily and expeditiously the ... which let be called y : - Therefore ,

also the Logarithm of a Number , which is a Geometrical

**Mean**between 2- Landzti ...

Side 361

And because MO = PL , therefore CP + MOS CL , and consequently the Cofine of

the Arc A-bz2 a z bz + azs bt + + Esc . 1.2.3 1.2.3.4 1.2.3.4.5 Q. E.I. Now the Arc A

is an arithmetical

And because MO = PL , therefore CP + MOS CL , and consequently the Cofine of

the Arc A-bz2 a z bz + azs bt + + Esc . 1.2.3 1.2.3.4 1.2.3.4.5 Q. E.I. Now the Arc A

is an arithmetical

**Mean**between the Arcs A - z and A - tz , and the Difference of ... Side 362

Here 30 ' oo ' is the

° 59 , the given Extream is , 49974806226 , and the Length of the Arc % , viz . one

Minute is , 000 29 0888208 , which squar'd and multiplied by the Sine of the ...

Here 30 ' oo ' is the

**mean**Arc , whose Sine is 500000 00000 , and the Sine of 29° 59 , the given Extream is , 49974806226 , and the Length of the Arc % , viz . one

Minute is , 000 29 0888208 , which squar'd and multiplied by the Sine of the ...

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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.