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

### Inni boken

Resultat 1-5 av 15

Side 4

A plane

plane

all straight lines drawn from a certain point within the

are ...

A plane

**figure**is that which is inclosed by one or more lines . 11 . A circle is aplane

**figure**contained by one line ( called the circumference ) , and is such thatall straight lines drawn from a certain point within the

**figure**to the circumferenceare ...

Side 5

A quadrilateral is a plane

a four - sided

20 . Parallel straight lines are such as are in the same plane , and which being ...

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 ...

Side 6

An oblong is a four - sided

not all its sides equal . 32 . A rhombus is a four - sided

sides equal , but its angles are not right angles . 33 . A rhomboid is a four - sided

An oblong is a four - sided

**figure**which has all its angles right angles , but hasnot all its sides equal . 32 . A rhombus is a four - sided

**figure**which has all itssides equal , but its angles are not right angles . 33 . A rhomboid is a four - sided

**figure**... Side 10

Construct a similar

the further extremity of the straight line BC . . 3 . Construct a similar

above for the case when the equilateral triangle is described on the other side of

...

Construct a similar

**figure**to the above for the case when the point A is joined tothe further extremity of the straight line BC . . 3 . Construct a similar

**figure**to theabove for the case when the equilateral triangle is described on the other side of

...

Side 15

In the

If a point G be found in an equilateral triangle so that GA , GB , GC are all equal ,

then GA bisects the angle A : also if points E , F be taken in AC , A B so that AE ...

In the

**figure**on page 14 , shew that the angle DBG is equal to the angle ECF . 4 .If a point G be found in an equilateral triangle so that GA , GB , GC are all equal ,

then GA bisects the angle A : also if points E , F be taken in AC , A B so that AE ...

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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.