## The Elements of Geometry, Symbolically Arranged |

### Dentro del libro

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**figure**. sq . 29 99 hypothesis . interior . str . 99 viz . " 99 square . straight . namely . + signifies I 99 H || # ^ A V 99 ( plus , the sign of addition . ( minus , sign of sub- traction . equal to . the signifies not less than . 99 ... Página 5

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**figure**is that which is enclosed by one or more boundaries . XV . Acircle 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**... Página 6

Great Britain. Admiralty. XVIII . A semicircle is the

Great Britain. Admiralty. XVIII . A semicircle is the

**figure**contained by a dia- meter and the part of the ...**figures**are those which are con- tained by straight lines . XXI . Trilateral**figures**, or triangles , by three straight lines ... Página 10

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**figure**, & c . A theorem is something proposed to be de- monstrated . A corollary is a consequence easily deduced from a proposition . An axiom is an evident truth , but which admits of no demonstration . A postulate is a request to ... Página 17

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**figure**to be constructed , the existence of which does not in- volve an absurdity . The first proof of this pro- position is that of Euclid , who , to avoid the pos- sibility of the taking for granted that which may imply a ...### Otras ediciones - Ver todas

The Elements of Geometry, Symbolically Arranged Great Britain Admiralty Sin vista previa disponible - 2016 |

### Términos y frases comunes

2ndly ABCD AC² angle contained angle equal base BC CB² centre circle circumference coincides Constr descr diam diameter dist divided equal angles equiangular equilat exterior angle figure given point given str given straight line gnomon greater isosceles triangle join Let ABC Let str Let the str line be drawn meet number of equal oppo opposite angle opposite sides parallel parallelogram perpendicular polygon PROB prod Prop rect rectangle contained rectilineal right angles right-angled triangle semi sides equal square THEOR touch trapezium Wherefore whole fig Нур

### Pasajes populares

Página 60 - 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.

Página 34 - 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...

Página 62 - 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...

Página 38 - 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...

Página 63 - 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.

Página 23 - 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.

Página 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 two interior angles upon the same side together equal to two right angles...

Página 5 - 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.

Página 79 - 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.

Página 21 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.