## 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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Resultat 1-5 av 5

Side

... to be handled before Planes intersected by Planes , or the more compounded

Doctrine of Solids ; and the Properties of Numbers were necessary to the

Reasoning about Incommensurables : Yet because only one Proposition of

four ...

... to be handled before Planes intersected by Planes , or the more compounded

Doctrine of Solids ; and the Properties of Numbers were necessary to the

Reasoning about Incommensurables : Yet because only one Proposition of

**these**four ...

Side

For the Solution of

Solution of our 3d and 7th Cases , in other Authors reckoned the 3d and 4th ,

where there are given two Sides and an Angle opposite to one of them , to find

the 3d ...

For the Solution of

**these**Cases see my Directions at Pages 321 , 322 . In theSolution of our 3d and 7th Cases , in other Authors reckoned the 3d and 4th ,

where there are given two Sides and an Angle opposite to one of them , to find

the 3d ...

Side 306

And then there are given any two of the said Parts , and a third is fought ; one of

Parts , which are called Adjacent Extremes , or is separated from them , and then

are ...

And then there are given any two of the said Parts , and a third is fought ; one of

**these**three which is called the Middle Part , either lies between the other twoParts , which are called Adjacent Extremes , or is separated from them , and then

are ...

Side 318

... to one less than a Quadrant , and to another , which is the Supplement of the

former to a Semicircle , ( a true Distinction of which of

necessary to be known , before a proper Solution can be given to fuch Problems

...

... to one less than a Quadrant , and to another , which is the Supplement of the

former to a Semicircle , ( a true Distinction of which of

**these**are to be used , beingnecessary to be known , before a proper Solution can be given to fuch Problems

...

Side 325

This canin was publisk'd at London in the Year 1624 , Adrian Vlacq published

again this Canon at Gouda in Hohand , in the Year 1628 , with tke intermediate

Chiliads before omitted , filled'te 12 de cording to Briggs's Prescriptions ; but

This canin was publisk'd at London in the Year 1624 , Adrian Vlacq published

again this Canon at Gouda in Hohand , in the Year 1628 , with tke intermediate

Chiliads before omitted , filled'te 12 de cording to Briggs's Prescriptions ; but

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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.