## Elements of Geometry;: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids; to which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, 1804 - 440 sider |

### Inni boken

Resultat 6-10 av 50

Side 92

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**segments**, & c . Q. E. D. a 10. 1 . A PROP . XXV . PROB .**SEGMENT**of a circle being given , to describe the circle of which it is the fegment . Let ABC be the given**segment**of a circle ; it is required to describe the circle of which it ... Side 93

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**segment**is described : also it is evi- dent , that if the angle ABD be greater than the angle BAD , the centre E falls without the fegment ABC , which therefore is less than a femicircle : but if the angle ABD be less than BAD , the ... Side 94

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**segment**BAC is b 9. def . 3. fimilar b to the**segment**EDF ; and they are upon equal straight lines BC , EF ; but fimilar**segments**of circles upon c . 24. 3. equal straight lines are equal to one another , therefore the**segment**BAC is ... Side 98

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**segment**greater than a fe- micircle is less than a right angle ; and the angle in a**segment**less than a semicircle is greater than a right angle . Let ABCD be a circle , of which the diameter is BC , and centre E ; draw CA dividing the ... Side 99

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**segments**of the circle : that is , the angle FDB is equal to the angle which is in the**segment**DAB , and the angle DBE to the angle in the**segment**BCD . From the point B draw a BA at right angles to EF , and a 11. t . take any point Cin ...### Andre utgaver - Vis alle

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Ingen forhåndsvisning tilgjengelig - 2015 |

Elements of Geometry: Containing the First Six Books of Euclid: With a ... Euclid,Formerly Chairman Department of Immunology John Playfair,John Playfair Ingen forhåndsvisning tilgjengelig - 2015 |

Elements of Geometry: Containing the First Six Books of Euclid, With a ... Formerly Chairman Department of Immunology John Playfair,John Playfair Ingen forhåndsvisning tilgjengelig - 2017 |

### Vanlige uttrykk og setninger

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### Populære avsnitt

Side 27 - 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. either the sides adjacent to the equal...

Side 172 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.

Side 42 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.

Side 84 - The diameter is the greatest straight line in a circle; and of all others, that which is nearer to the centre is always greater than one more remote; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which...

Side 106 - IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle be equal to the square of the line which meets it, the line which meets shall touch the circle.

Side 22 - THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA : the side AC is likewise greater than the side AB. For, if it be not greater, AC must...

Side 64 - If then the sides of it, BE, ED are equal to one another, it is a square, and what was required is now done: But if they are not equal, produce one of them BE to F, and make EF equal to ED, and bisect BF in G : and from the centre G, at the distance GB, or GF, describe the semicircle...

Side 166 - IN a right angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be a right angled triangle, having the right angle BAC ; and from the point A let AD be drawn perpendicular to the base BC : the triangles ABD, ADC are similar to the whole triangle ABC, and to one another.

Side 54 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced...

Side 2 - 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.