## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To which is Added, a Treatise of the Nature and Arithmetic of Logarithms ; Likewise Another of the Elements of Plain and Spherical Trigonometry : with a Preface ...Tho. Woodward at the Half-Moon, over-against St. Dunstan's Church in Fleet-Street., 1723 - Geometry - 364 pages |

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Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill No preview available - 2018 |

Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill No preview available - 2017 |

Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill No preview available - 2015 |

### Common terms and phrases

alſo equal Altitude Angle ABC Angle BAC Bafe becauſe biſected Center Circle ABCD Circle EFGH Circumference Cofine Cone conſequently conſtituted contain'd Coroll Cylinder DEFH demonſtrated deſcrib'd deſcribed Diameter Diſtance drawn thro equal Angles equal between themſelves equiangular equilateral Equimultiples fame firſt folid fore given Right Line greater join laſt leſs likewiſe Logarithm Magnitudes Meaſure muſt Number oppoſite parallel Parallelogram perpendicular Polygon Priſm Prop PROPOSITION Pyramid Quadrant Ratio Rectangle remaining Angle Right Angles Right Line A B Right-lin'd Figure ſaid ſame Altitude ſame Multiple ſame Proportion ſame Reaſon ſay ſecond Segment ſhall be equal Sides ſimilar ſince Sine Solid ſolid Parallelepipedon ſome Sphere ſtand Subtangent ſubtended ſuch THEORE theſe thoſe Triangle ABC Unity Vertex the Point Wherefore whole whoſe Baſe

### Popular passages

Page 190 - 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.

Page 160 - 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.

Page 63 - DBA ; and because AE, a side of the triangle DAE, is produced to B, the angle DEB is greater (16.

Page 152 - ... therefore the angle DFG is equal to the angle DFE, and the angle at G to the angle at E : but the angle DFG is equal to the angle ACB...

Page 100 - About a given circle to describe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle; it is required to describe a triangle about the circle ABC equiangular to the triangle DEF.

Page 17 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...

Page 210 - CD; therefore AC is a parallelogram. In like manner, it may be proved that each of the figures CE, FG, GB, BF, AE, is a parallelogram...

Page 231 - 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.

Page 164 - ABG ; (vi. 1.) therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC has to EF: but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has to EF. Therefore similar triangles, &c.

Page 93 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.