## 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 9

Side 6

angle_ABC will co - incide with the whole Triangle DEF , and will be

thereto ; and the remaining † Ax . 8. Angles will co - incide with the remaining

Angles t , and will be

D E F , and ...

angle_ABC will co - incide with the whole Triangle DEF , and will be

**equal**thereto ; and the remaining † Ax . 8. Angles will co - incide with the remaining

Angles t , and will be

**equal**to them , viz . the Angle A B C**equal**to the AngleD E F , and ...

Side 25

For if the Side A B be not

which let be AB , make G B

to DE , and BC to EF , the two Sides GB , BC , are

...

For if the Side A B be not

**equal**to the Side DE , one of them will be the greater ,which let be AB , make G B

**equal**to DE , and join G C. Then because BG is**equal**to DE , and BC to EF , the two Sides GB , BC , are

**equal**to the two Sides DE , EF...

Side 194

For take the Right Lines EA , EB , CE , DE ,

Right Line GEH , and join AD , CB ; and from the Point F let there be drawn FA ,

FG , FD , FC , FH , FB : Then because two Right Lines AE , ED , are

For take the Right Lines EA , EB , CE , DE ,

**equal**, and thro ' E any , how draw theRight Line GEH , and join AD , CB ; and from the Point F let there be drawn FA ,

FG , FD , FC , FH , FB : Then because two Right Lines AE , ED , are

**equal*** 15. Side 209

THEORE M. If there be three plane Angles , whereof two , ang bow taken , are

greater than the third , and tbe : Right Lines that contain them be

possible to make a Triangle of the Right Lines joining the

THEORE M. If there be three plane Angles , whereof two , ang bow taken , are

greater than the third , and tbe : Right Lines that contain them be

**equal**; then it ispossible to make a Triangle of the Right Lines joining the

**equal**Right Lines ... Side 217

BAK , at the given Point A , with the Right Line AB ,

EDG . Lastly , make A K

Angles to the Plane passing # 12 of this thro ' BAL , and make KĦ

and join ...

BAK , at the given Point A , with the Right Line AB ,

**equal**to the Angles EDC ,EDG . Lastly , make A K

**equal**to DG , and at the Point K erect | HK at RightAngles to the Plane passing # 12 of this thro ' BAL , and make KĦ

**equal**to GF ,and join ...

### 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.