## Geometry Without Axioms; Or the First Book of Euclid's Elements. With Alterations and Familiar Notes; and an Intercalary Book in which the Straight Line and Plane are Derived from Properties of the Sphere ...: To which is Added an Appendix ... |

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Resultat 1-5 av 17

Side 51

And the straight line which stands on the other is called a perpendicular to it; and

is also said to be at

called obtuse. ... Those contained by

And the straight line which stands on the other is called a perpendicular to it; and

is also said to be at

**right angles**to it. ... An angle greater than a right angle, / iscalled obtuse. ... Those contained by

**four**straight lines, are called quadrilateral. Side 65

All the angles made by any number of straight lines proceeding from one point

and in the same plane, are together equal to

the straight lines be prolonged on the other side of the angular point, the angles

on ...

All the angles made by any number of straight lines proceeding from one point

and in the same plane, are together equal to

**four right angles**. For if any one ofthe straight lines be prolonged on the other side of the angular point, the angles

on ...

Side 66

Also if BD, BE make an angle greater than two right angles; because all the

angles at the point B are: together equal to

one side of BD and BE is greater than two right angles, the angle on the other

side is ...

Also if BD, BE make an angle greater than two right angles; because all the

angles at the point B are: together equal to

**four right angles**, and the angle onone side of BD and BE is greater than two right angles, the angle on the other

side is ...

Side 76

If CDB is a right angle, then there is drawn a straight line CD perpendicular to AB

as required. But if CDB is not a right angle, then on the other side of AB ... equal

to BDC, and maket DF equal to DC, and join CF. Because the equal angles CDB

and FDB are either greater or less than right angles, and all the angles at the

point D are: together equal to

than ...

If CDB is a right angle, then there is drawn a straight line CD perpendicular to AB

as required. But if CDB is not a right angle, then on the other side of AB ... equal

to BDC, and maket DF equal to DC, and join CF. Because the equal angles CDB

and FDB are either greater or less than right angles, and all the angles at the

point D are: together equal to

**four right angles**; DC and DF make an angle lessthan ...

Side 102

All the interior angles of any plane rectilinear figure that incloses a space, are

equal to twice as many right angles as the figure has sides, diminished by

as ...

All the interior angles of any plane rectilinear figure that incloses a space, are

equal to twice as many right angles as the figure has sides, diminished by

**four****right angles**. For First ; if the figure is one, as ABCDE, TX that can be divided intoas ...

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Geometry Without Axioms Or the First Book Euclid's Elements: With ... Uten tilgangsbegrensning - 1833 |

Geometry Without Axioms; Or the First Book of Euclid's Elements. with ... Thomas Perronet Thompson Ingen forhåndsvisning tilgjengelig - 2015 |

### Vanlige uttrykk og setninger

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### Populære avsnitt

Side 51 - 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.

Side 109 - PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another...

Side 111 - Parallelograms upon the same base and between the same parallels, are equal to one another.

Side 120 - If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle.

Side 72 - Any two sides of a triangle are together greater than the third side.

Side 55 - From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater.

Side 70 - Any two angles of a triangle are together less than two right angles.

Side 138 - ... the exterior angle equal to the interior and opposite on the same side of the line ; and likewise the two interior angles on the same side of the line together equal to two right angles.

Side 106 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.