## 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

Side 9

BD , is named the angle ABD , or DBA ; and that which is contained by • BD , CB , is called the angle DBC , or CBD ; but , if there be only one an' gle at a point ... An obtuse angle is that which is greater than a

BD , is named the angle ABD , or DBA ; and that which is contained by • BD , CB , is called the angle DBC , or CBD ; but , if there be only one an' gle at a point ... An obtuse angle is that which is greater than a

**right angle**. 9. Side 10

A

A

**right angled**triangle is that which has a**right angle**. 23. An obtuse angled triangle is that ... Of four sided figures , a square is that which has all its sides equal and all its angles**right angles**. 26. An oblong is that which has ... Side 18

To draw a straight line at

To draw a straight line at

**right angles**to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at**right angles**... Side 19

1 The angles which one straight line makes with another upon one side of it , are either two

1 The angles which one straight line makes with another upon one side of it , are either two

**right angles**, or are together equal to two**right angles**. Let the straight line AB make with CD , upon one side of it the angles CBA ... Side 20

to two

to two

**right angles**; but the angles ABC , ABD are likewise together equal to two**right angles**: therefore the ... Ax . ) to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same ...### Hva folk mener - Skriv en omtale

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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |

Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1839 |

### Vanlige uttrykk og setninger

ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circle ABC circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremity fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole

### Populære avsnitt

Side 53 - 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 18 - If two triangles have two sides of the one equal to two sides of the...

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, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.

Side 82 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.

Side 31 - Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles.

Side 11 - 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 21 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD : these shall either be two right angles, or shall together be equal to two right angles. For...

Side 101 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.

Side 58 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.

Side 298 - 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.