## 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 276

The Right Sine of any Arc , which also is commonly called only a Sine , is a

Perpendicular falling from one End of an Arc , to the

other End of the said Arc . And is therefore the Semisubtense of double the Arc ,

viz .

The Right Sine of any Arc , which also is commonly called only a Sine , is a

Perpendicular falling from one End of an Arc , to the

**Radius**drawn through theother End of the said Arc . And is therefore the Semisubtense of double the Arc ,

viz .

Side 286

In the first and fecond Series , if A = 0 ; then shall a = o , and b its Cofre , will

become

and i to be put instead of b , the Series will become the Newtonian . In the third

and ...

In the first and fecond Series , if A = 0 ; then shall a = o , and b its Cofre , will

become

**Radius**, or i . And hence , if the Terms wherein a is , are taken away ,and i to be put instead of b , the Series will become the Newtonian . In the third

and ...

Side 307

The Rectangle under the

Rectangle under the Cofines of the opposite Parts . Each of the Rules have three

Cafes . For the middle Part may be the Complement of the Angle B , or C , or ...

The Rectangle under the

**Radius**, and the Sine of the middle Part , is equal to theRectangle under the Cofines of the opposite Parts . Each of the Rules have three

Cafes . For the middle Part may be the Complement of the Angle B , or C , or ...

Side 355

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

John Keill Mr. Cunn (Samuel), John Ham. whose

be ...

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

John Keill Mr. Cunn (Samuel), John Ham. whose

**Radius**is r and Sine s . But if rbe ...

Side 359

Again , becaufe the Square of the

equal to the Square of the Cosine , by the second Proposition of our Author's

Elements of plain Trigonometry ; it follows , that if from the Square of the

1 ...

Again , becaufe the Square of the

**Radius**made less by the Square of the Sine , isequal to the Square of the Cosine , by the second Proposition of our Author's

Elements of plain Trigonometry ; it follows , that if from the Square of the

**Radius**=1 ...

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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.