## The Elements of Geometry, Symbolically Arranged |

### Inni boken

Resultat 1-5 av 5

Side 88

... by means of the number of equal parts or units they each contain ; and

the relation which two such quantities have to each other , determined by

considering what fractional part one is of the other when both quantities are

numerically ...

... by means of the number of equal parts or units they each contain ; and

**ratio**isthe relation which two such quantities have to each other , determined by

considering what fractional part one is of the other when both quantities are

numerically ...

Side 89

the unit , the remainder , or undivided part of any quantity may be conceived to be

so diminished , as to be of no assignable value compared with the other part ,

and as there are no conditions which limit this subdivision , the

the unit , the remainder , or undivided part of any quantity may be conceived to be

so diminished , as to be of no assignable value compared with the other part ,

and as there are no conditions which limit this subdivision , the

**ratio**of these ... Side 108

The circumferences of equilateral polygons , which have the same number of

sides , have the same

ABCDEF , GHKILM be 2 equilat . polygons having an = no , sides inscrib . in Os

whose ...

The circumferences of equilateral polygons , which have the same number of

sides , have the same

**ratio**as the radii of their circumscribing circles . LetABCDEF , GHKILM be 2 equilat . polygons having an = no , sides inscrib . in Os

whose ...

Side 110

70 . the same

AQP : GR ” . If the sides be indefinitely diminished , and their number increased ,

the areas of the two polygons will be equal to the areas of their circumscribing Os

...

70 . the same

**ratio**; . . Area of polygon ABC , & c . : area of polygon GHI , & c . : :AQP : GR ” . If the sides be indefinitely diminished , and their number increased ,

the areas of the two polygons will be equal to the areas of their circumscribing Os

...

Side 115

Inscribe a circle in a given triangle . 54 . If an angle of a triangle be divided into

two equal angles , by a straight line which cuts a side ; the segments of that side

will have the same

Inscribe a circle in a given triangle . 54 . If an angle of a triangle be divided into

two equal angles , by a straight line which cuts a side ; the segments of that side

will have the same

**ratio**which the other sides of the triangle have to each other .### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Andre utgaver - Vis alle

The Elements of Geometry, Symbolically Arranged Great Britain. Admiralty Uten tilgangsbegrensning - 1846 |

The Elements of Geometry, Symbolically Arranged Great Britain Admiralty Ingen forhåndsvisning tilgjengelig - 2016 |

### Vanlige uttrykk og setninger

_ ABC ABCD angle contained base base BC bisect called centre circle circumference coincides common Constr descr described diam diameter dist divided draw equal equal angles equiangular equilat expressed extremities falls figure given point given straight line gnomon greater half interior isosceles join less Let ABC line drawn manner mean meet oppo opposite angle opposite sides parallel parallelogram pass perpendicular plane polygon PROB prod produced Prop proportional proposition proved quantities ratio rect rectangle contained rectilineal remain right angles segments shown sides square THEOR touch triangle unequal Wherefore whole

### Populære avsnitt

Side 58 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.

Side 32 - 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 60 - 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, together with the square of...

Side 36 - Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to...

Side 61 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC.

Side 21 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.

Side 37 - 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 two interior angles upon the same side together equal to two right angles...

Side 3 - 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 : XVI.

Side 77 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.

Side 19 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.