## 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 173

the first A to the second B , and of the

FOR Example , let the . Number 3 be the Exponent , or Denominator of the

...

**Ratio**of the first A to the third C , is equal to the**Ratio**compounded of the**Ratio**ofthe first A to the second B , and of the

**Ratio**of the sea cond B to the third C. 4 BFOR Example , let the . Number 3 be the Exponent , or Denominator of the

**Ratio**...

Side 174

If any four Right Lines A , B , C , and D , be proposed , the

the fourth D , is equal to the Ratia compounded of the

second B , and of the

third ...

If any four Right Lines A , B , C , and D , be proposed , the

**Ratio**of the first A tothe fourth D , is equal to the Ratia compounded of the

**Ratio**of the firft A to thesecond B , and of the

**Ratio**of the second B to the third C , and of the**Ratio**of thethird ...

Side 332

The Distance between any two Numbers , is called the Logarithm of the

those Numbers , and indeed doth not measure the

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 366

to 355 , that is , the larger the Terms of the

the

Sir Isaac Newton set about by Experiments , to determine the

to 355 , that is , the larger the Terms of the

**Ratio**are , the nearer they approachthe

**Ratio**given . Mr. Molyneux , in his Treatise of Dioptricks informs us , that whenSir Isaac Newton set about by Experiments , to determine the

**Ratio**of the Angle ... Side 370

i b - a a I fit , & c . which expresses the Logarithm of the

Logarithm of 1- * according to Neper's Form , if the Index n be put = 10000 , & c .

as before . And to find the Logarithm of the

and ...

i b - a a I fit , & c . which expresses the Logarithm of the

**Ratio**of 1 to 1- * or theLogarithm of 1- * according to Neper's Form , if the Index n be put = 10000 , & c .

as before . And to find the Logarithm of the

**Ratio**of any two Terms , a the leastand ...

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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.