## 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 5

Side 168

THEORE M. Similar

Number , and homologous to the Wboles ; and

duplicate Proportion of that which one homologous Side has to tbe otber . let the

Side A B ...

THEORE M. Similar

**Polygons**are divided into similar Triangles , equal inNumber , and homologous to the Wboles ; and

**Polygon**to**Polygon**, is in theduplicate Proportion of that which one homologous Side has to tbe otber . let the

Side A B ...

Side 170

Wherefore as the Triangle ABE is to the Triangle F GL , so is the

to the

into similar Triangles , equal in Number , and homologous to the Wholes ; and ...

Wherefore as the Triangle ABE is to the Triangle F GL , so is the

**Polygon**ABCDEto the

**Polygon**FGHKL : But the Triangle ... Therefore fimilar**Polygons**arè dividedinto similar Triangles , equal in Number , and homologous to the Wholes ; and ...

Side 241

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.

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.

**Polygon**EKFLGMHN . Wherefore asthe ...

Side 259

Therefore the Pyramid remaining , whose Base is the

Altitude the fame as that of the Cone , is greater than the Solid X. Let the

DTAYBQCV be described in the Circle ABCD , similar and alike fituate to the ...

Therefore the Pyramid remaining , whose Base is the

**Polygon**HOEPFRGS , andAltitude the fame as that of the Cone , is greater than the Solid X. Let the

**Polygon**DTAYBQCV be described in the Circle ABCD , similar and alike fituate to the ...

Side 263

the Pyramid BKTL is to the Pyramid FMON , so is the whole Pyramid whose Base

is the

whose Base is the

the Pyramid BKTL is to the Pyramid FMON , so is the whole Pyramid whose Base

is the

**Polygon**A TBYCVDQ , and Vertex the Point L , to the whole Pyramid ,whose Base is the

**Polygon**EOFPGRHS , and Vertex the Point N. Wherefore 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.