## Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement on the Quadrature of the Circle and the Geometry of Solids ...J. Eastburn & Company, 1819 - 317 sider |

### Inni boken

Resultat 1-5 av 37

Side 86

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**arch**, that is , to divide it into two equal parts . Let ADB be the given**arch**; it is required to bisect it . Join ...**AC**is equal to CB , and CD common to the triangles ACD , BCD , the two sides**AC**, CD are equal to the two BC ... Side 101

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**arches**, therefore the**arch**BD " is one - tenth of the circumference ; and the straight line BD , that is "**AC**, is therefore equal to the side of an equilateral decagon inscrib- " ed in the circle BDE . " PROP . XI . PROB . To inscribe ... Side 106

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**AC**be the side of an equilateral triangle inscribed ( 2.4 . ) in the circle , and AB the side of an equi- lateral ...**arch**ABC , being the third part of the whole , contains five ; and the**arch**AB , which is the fifth part of the ... Side 151

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**AC**meets them , the alternate angles BAC , ACD are equal ( 29. 1. ) ; for the same reason , the angle CDE is equal ...**arch**BC to the**arch**EF , so is the angle BGC to the angle EHF , and the angle BAC to the angle EDF and also the ... Side 153

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**arch**BL be equal to EN , the sector BGL is equal to the sector EHN ...**AC**is equal to the rectangle BD.DC , together with the square of AD ...**AC**, and conse- quently , BA.**AC**= ( 16. 6. ) AD.AE = ED.DA ( 3. 2. ) + DA2 . But ED.DA ...### Andre utgaver - Vis alle

Elements of Geometry: Containing the First Six Books of Euclid : with a ... John Playfair Uten tilgangsbegrensning - 1837 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1824 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1819 |

### Vanlige uttrykk og setninger

ABC is equal ABCD altitude angle ABC angle ACB angle BAC arch AC base BC bisected centre circle ABC circumference common section cosine cylinder demonstrated diameter draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelogram perpendicular polygon prism produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle SPHERICAL TRIGONOMETRY straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore

### Populære avsnitt

Side 153 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle...

Side 19 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.

Side 33 - THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.

Side 292 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...

Side 308 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Side 36 - IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle shall be greater than the base of the other.

Side 18 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.

Side 78 - To draw a straight line from a given point, either without or in the circumference, which shall touch a given circle. First, let A be a given point without the given circle BCD : it is required to draw a straight line from A which shall touch the circle.

Side 77 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...

Side 39 - If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the too interior angles upon the same side together equal to two right angles.