## 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 7

Side 11

I

Right Angles to A B. For because DC is equal to CE , and F C is common , the

two Lines D C , CF , are each equal to the two Lines EC , CF ; and the Base D F is

...

I

**say**, the Right Line F C is drawn from the Point C , given in the Right Line A B atRight Angles to A B. For because DC is equal to CE , and F C is common , the

two Lines D C , CF , are each equal to the two Lines EC , CF ; and the Base D F is

...

Side 37

I

parallel to B C. For if it be not parallel , draw * the Right Line AE * 31 of this . thro '

the Point A , parallel to BC , and draw E C. Then the Triangle ABC , + is equal to

the ...

I

**say**they are between the fame Parallels . For let AD be drawn . I**say**A D isparallel to B C. For if it be not parallel , draw * the Right Line AE * 31 of this . thro '

the Point A , parallel to BC , and draw E C. Then the Triangle ABC , + is equal to

the ...

Side 179

I

wanting in Figure by Parallelograms fimilar and alike fituate to CE . For let the

Parallelograin AF be applied to the Right Line AB , wanting in Figure the

Parallelogram ...

I

**say**, AD is the greatest of all Parallelograms applied to the Right Line A B ,wanting in Figure by Parallelograms fimilar and alike fituate to CE . For let the

Parallelograin AF be applied to the Right Line AB , wanting in Figure the

Parallelogram ...

Side 197

PROPOSITION VII , THE ORE M. If there be two Parallel Lines , and any Point be

taken in both of them , the Right Lines joining those Points shall be in the same

Planes as the Parallels are . which are taken any Points E , F. I

...

PROPOSITION VII , THE ORE M. If there be two Parallel Lines , and any Point be

taken in both of them , the Right Lines joining those Points shall be in the same

Planes as the Parallels are . which are taken any Points E , F. I

**say**, a Right Line...

Side 209

ET ABC , DEF , GHK , be giyen plane Angles , any two whereof are greater than

the third ; and let the equal Right Lines AB , BC , DE , EF , GH , HK , contain them

; and let A C , DF , GK , be joined . I

ET ABC , DEF , GHK , be giyen plane Angles , any two whereof are greater than

the third ; and let the equal Right Lines AB , BC , DE , EF , GH , HK , contain them

; and let A C , DF , GK , be joined . I

**say**, it is possible to make a Triangle of AC ...### 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.