## 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 Trigonometry |

### Inni boken

Resultat 1-5 av 5

Side 60

1.

a right angle ; therefore AEB is a right angle : And because EBC is

angle , DBG is also & 15. 1. &

but ...

1.

**half**a right anglef : For the same reason , each of the angles CEB , EBC is**half**a right angle ; therefore AEB is a right angle : And because EBC is

**half**a rightangle , DBG is also & 15. 1. &

**half**a right angle , for they are vertically oppofite ;but ...

Side 208

IF F from the greater of two unequal magnitudes there be taken away its

from the remainder its

less than the least of the proposed magnitudes . Let AB and C be two uñequal ...

IF F from the greater of two unequal magnitudes there be taken away its

**half**, andfrom the remainder its

**half**; and so on : There will at length remain a magnitudeless than the least of the proposed magnitudes . Let AB and C be two uñequal ...

Side 303

1 A Let ABC be a triangle ; the sum of AB and AC any two fides , is to the

difference of AB and AC , as the tangent of

ABC , to the tangent of ,

AB , the ...

1 A Let ABC be a triangle ; the sum of AB and AC any two fides , is to the

difference of AB and AC , as the tangent of

**half**the sum of the angles ACB andABC , to the tangent of ,

**half**their difference . About the centre A with the radiusAB , the ...

Side 309

IF F there be two unequal magnitudes ,

sum is equal to the greater ; and

equal to the less . Let AB and BC be two unequal magnitudes , of which AB is the

...

IF F there be two unequal magnitudes ,

**half**their difference added to**half**theirsum is equal to the greater ; and

**half**their difference taken from**half**their sum isequal to the less . Let AB and BC be two unequal magnitudes , of which AB is the

...

Side 359

IF a perpendicular be drawn from an'angle of a spherical triangle to the opposite

side or base , the fine of the sum of the angles at the base is to the fine of their

difference as the tangent of

...

IF a perpendicular be drawn from an'angle of a spherical triangle to the opposite

side or base , the fine of the sum of the angles at the base is to the fine of their

difference as the tangent of

**half**the base to the tangent of**half**the difference of its...

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Elements of Geometry;: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Ingen forhåndsvisning tilgjengelig - 2016 |

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

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 |

### 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.