## 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 |

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Side 39

In every Parallelogram the Complements of the Parallelograms that

the Diameter , are equal between themselves . LEI ET ABCD be a Parallelogram

, whose Diameter iş DB ; and let FH , EĞ , be Parallelograms

In every Parallelogram the Complements of the Parallelograms that

**stand**aboutthe Diameter , are equal between themselves . LEI ET ABCD be a Parallelogram

, whose Diameter iş DB ; and let FH , EĞ , be Parallelograms

**standing**about the ... Side 88

Therefore in equal Circles , equal Angles

whether they be at their Centers , or at their Circumferences ; which was to be

demonItrated . PROPOSITION XXVII . THEOREM , Angles , that

...

Therefore in equal Circles , equal Angles

**stand**upon equal Circumferences ,whether they be at their Centers , or at their Circumferences ; which was to be

demonItrated . PROPOSITION XXVII . THEOREM , Angles , that

**stand**upon equal...

Side 115

But équal Angles

is equal to the whole Circumference EDCBA . But the Angle FED ,

Circumference FABCD ; and the Angle AFE , on the Circumference EDCBA .

But équal Angles

**stand**+ on † 26. 3 . equal Circumferences . Therefore the fix ...is equal to the whole Circumference EDCBA . But the Angle FED ,

**stands**on theCircumference FABCD ; and the Angle AFE , on the Circumference EDCBA .

Side 195

Wherefore , if to two Right Lines cutting one another , a third

Angles in the common Section , it shall be also at Right ... ET the Right Line A B

BE .

Wherefore , if to two Right Lines cutting one another , a third

**stands**at RightAngles in the common Section , it shall be also at Right ... ET the Right Line A B

**stand**at Right Angles in the Point of Contact B , to the three Right Lines B C , BD ,BE .

Side 229

But the Solid B T is equal to the Solid B A ; for they

have the same Altitude , and their insistent Lines are not in the fame Right Lines ,

and the Solid DZ is also equal to the Solid DC , since they

But the Solid B T is equal to the Solid B A ; for they

**stand**upon the fame Base FK ,have the same Altitude , and their insistent Lines are not in the fame Right Lines ,

and the Solid DZ is also equal to the Solid DC , since they

**stand**upon the ...### Hva folk mener - Skriv en omtale

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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.