## 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 32

four Right Angles . FOR the outward Angles , together with the inward ones ,

make twice as many Right Angles as the Figure bas Sides ; but from the last

**THEOREM**II . All the outward Angles of any Right - lined Figure together , makefour Right Angles . FOR the outward Angles , together with the inward ones ,

make twice as many Right Angles as the Figure bas Sides ; but from the last

**Theorem**... Side 137

be alternately proportional . ET four Magnitudes ABCD , be proportional ; , C that

they will be alternately proportional , viz . as A is to c'fo is B to D ; for take E , F ...

**THEOREM**. If four Magnitudes of tbe same Kind are proportional , they shall alsobe alternately proportional . ET four Magnitudes ABCD , be proportional ; , C that

they will be alternately proportional , viz . as A is to c'fo is B to D ; for take E , F ...

Side 375

After the same manner the whole Table may be constructed , and as the prime

Numbers increase , so fewer Terms of the

Logarithms ; for in the common Tables which extend but to seven Places , the first

...

After the same manner the whole Table may be constructed , and as the prime

Numbers increase , so fewer Terms of the

**Theorem**are required to form theirLogarithms ; for in the common Tables which extend but to seven Places , the first

...

Side 376

m x ZSS 454 Ratios which constitute the ift

Logarithm of that Prime Number , which for Distinction's Sake may be calld

Example .

m x ZSS 454 Ratios which constitute the ift

**Theorem**, viz . ... will give theLogarithm of that Prime Number , which for Distinction's Sake may be calld

**Theorem**the second , and is of good Dispatch , as will appear hereafter by anExample .

Side 377

This

, and a notable Instance of its Use given by him in the Philosophical Transactions

for making the Logarithm of 23 to 32 Places , by five Divisions performed with ...

This

**Theorem**which we'll call**Theorem**the third , was first found out by Dr. Halley, and a notable Instance of its Use given by him in the Philosophical Transactions

for making the Logarithm of 23 to 32 Places , by five Divisions performed with ...

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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.