## 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 8

Side

own , instead of Euclid's , in

Reasoning , and deviate very much from the Conciseness of the Antients . In the

fifth Book , they have wholly rejected Euclid's Demonstrations , and have given a

...

own , instead of Euclid's , in

**those**Demonstrations they are faulty in theirReasoning , and deviate very much from the Conciseness of the Antients . In the

fifth Book , they have wholly rejected Euclid's Demonstrations , and have given a

...

Side 229

Altitude of the Solid DZ is to the Altitude of the Solid BT ; wherefore the Bases and

Altitudes of the folid Parallelepipedons BT , DZ , are reciprocally proportional ; but

Altitude of the Solid DZ is to the Altitude of the Solid BT ; wherefore the Bases and

Altitudes of the folid Parallelepipedons BT , DZ , are reciprocally proportional ; but

**those**solid Parallelepipedons , whose Altitudes are at Right Angles to their ... Side 270

Let

and let Perpendiculars be drawn from O , S , to the Plane of the Circle BCDE ,

There will † fall on BD , KN , the common Sections of the Planes ; because the ...

Let

**those**Sides be BO , OP , PR , RX , KS , ST , TY , YX : And join SO , TP , YR ;and let Perpendiculars be drawn from O , S , to the Plane of the Circle BCDE ,

There will † fall on BD , KN , the common Sections of the Planes ; because the ...

Side 319

Cacute Sgreater Šthan a Semicircle , when the Sum of the Angles B , D , is

greater than two Right Angles ; both the Values of DC may be admitted , and then

is ambiguous : But when only one of

only ...

Cacute Sgreater Šthan a Semicircle , when the Sum of the Angles B , D , is

greater than two Right Angles ; both the Values of DC may be admitted , and then

is ambiguous : But when only one of

**those**Sums is { pereater than a Semicircle ,only ...

Side 349

And this is one of the chief Properties of the logarithmical Curve ; for the different

Species or Forms of

Logarithms or the Distances from Unity of the same Number , in two logarithmical

...

And this is one of the chief Properties of the logarithmical Curve ; for the different

Species or Forms of

**those**Curves are determined by the Subtangents . TheLogarithms or the Distances from Unity of the same Number , in two logarithmical

...

### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Andre utgaver - Vis alle

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.