## Euclid, book i., propositions i. to xxvi., with exercises and alternative proofs [by T. Dalton]. |

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Side 1

... these elementary principles and explanations are arranged in three divisions :(

1 ) He gives first his DEFINITIONS ; as

properties of lines and figures lying in one

... these elementary principles and explanations are arranged in three divisions :(

1 ) He gives first his DEFINITIONS ; as

**Plane**Geometry treats of the relations andproperties of lines and figures lying in one

**plane**, the Definitions give ... Side 2

... which was to be done , and is placed at the conclusion of a problem . Q . E . D .

stands for Quod erat demonstrandum , or , which was to be proved , and is

placed at the conclusion of a theorem . T . D .

DEFINITIONS . 1 .

... which was to be done , and is placed at the conclusion of a problem . Q . E . D .

stands for Quod erat demonstrandum , or , which was to be proved , and is

placed at the conclusion of a theorem . T . D .

**PLANE**GEOMETRY .DEFINITIONS . 1 .

Side 3

Euclides Thomas Dalton.

that which has no parts , or which has no magnitude . 2 . A line is length without

breadth . 3 . The extremities of a line are points . 4 . A straight line is a line which

lies ...

Euclides Thomas Dalton.

**PLANE**GEOMETRY . DEFINITIONS . 1 . A POINT isthat which has no parts , or which has no magnitude . 2 . A line is length without

breadth . 3 . The extremities of a line are points . 4 . A straight line is a line which

lies ...

Side 4

A

all straight lines drawn from a certain point within the figure to the circumference

are ...

A

**plane**figure is that which is inclosed by one or more lines . 11 . A circle is a**plane**figure contained by one line ( called the circumference ) , and is such thatall straight lines drawn from a certain point within the figure to the circumference

are ...

Side 5

A quadrilateral is a

a four - sided figure which has all ts sides equal , and all its angles right angles .

20 . Parallel straight lines are such as are in the same

A quadrilateral is a

**plane**figure contained by four straight lines . 19 . A square isa four - sided figure which has all ts sides equal , and all its angles right angles .

20 . Parallel straight lines are such as are in the same

**plane**, and which being ...### Hva folk mener - Skriv en omtale

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Euclid, Book I., Propositions I. to XXVI., with Exercises and Alternative ... Euclides Ingen forhåndsvisning tilgjengelig - 2016 |

### Vanlige uttrykk og setninger

AC is equal ACD is greater angle ABC angle ACB angle BAC angle BCD angle contained angle DEF angle DFE angle EDF angle equal base BC bisects the angle centre circle circumference coincide common constr Construction Demonstration distance Divide draw a straight drawn equal angles equal sides equal to CD equidistant equilateral triangle Euclid exterior angle extremities figure Find a point four given point given straight line greater impossible intersect isosceles triangle join length less Let ABC likewise meet middle point namely opposite sides placed plane position PROBLEM produced proof prop PROPOSITION Prove Q.E.D. Exercises quadrilateral remainder respects right angles shew shewn side AC sides equal stands straight line drawn taken terminated THEOREM thing triangle ABC triangle DEF triangles be equal unequal whole

### Populære avsnitt

Side 39 - IF two triangles have two sides of the one equal to two sides of the...

Side 25 - To draw a straight line at right angles to a given straight line, from a given point in the same.

Side 4 - 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 7 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...

Side 7 - Notions 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal to one another.

Side 36 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle.

Side 37 - ... shall be equal to three given straight lines, but any two whatever of these must be greater than the third.

Side 18 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of' the base, equal to one another, and likewise those which are terminated in the other extremity.

Side 29 - 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. At the point B in the straight line AB, let the two straight lines...

Side 3 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.