## 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 6

Side 209

Wherefore , every

plane right ones ; which was to be demonstrated . PROPOSITION XXII . THEORE

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

Wherefore , every

**solid**Angle is fontained under Angles together , less than fourplane right ones ; which was to be demonstrated . PROPOSITION XXII . THEORE

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

Side 216

Therefore three Planes of the

, or AY , each to each ; and the Planes oppofite to these , are equal to them .

Therefore the three

Therefore three Planes of the

**Solid**LP , are equal to three Planes of the**Solid**KR, or AY , each to each ; and the Planes oppofite to these , are equal to them .

Therefore the three

**Solids**1 Def . 10. of LP , KR , AY , will be equal to each other . Side 222

Therefore three Parallelograms of the

Parallelograms of the

.

Therefore three Parallelograms of the

**Solid**AE , are equal and fimilar to threeParallelograms of the

**Solid*** Y ; and so the three opposite ones of one * 24 of tbis.

**Solid**, are + also equal and fimilar to the three oppofite ones , of the other . Side 223

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

John Keill Mr. Cunn (Samuel), John Ham. for the

...

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

John Keill Mr. Cunn (Samuel), John Ham. for the

**Solid**AE shall be + equal to the...

Side 227

Therefore the i Bases and Altitudes of the equal

, are reciprocally proportional . Now , let the Bases and Altitudes of the folid

Parallelepipedons AB , CD , be reciprocally proportion al ; that is , let the Base

EH be ...

Therefore the i Bases and Altitudes of the equal

**solid**Parallelepipedons AB , CD, are reciprocally proportional . Now , let the Bases and Altitudes of the folid

Parallelepipedons AB , CD , be reciprocally proportion al ; that is , let the Base

EH be ...

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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.