## Euclid's plane geometry, practically applied; book i, with explanatory notes, by H. Green |

### Inni boken

Resultat 1-5 av 5

Side 20

To ascertain an inaccessible

angle at C formed by the lines from the extremities , A and B , of the inaccessible

...

To ascertain an inaccessible

**distance**, as A B , the breadth of a lake . Take theangle at C formed by the lines from the extremities , A and B , of the inaccessible

**distance**; and measure un the**distances**CA and CB . The representative Values...

Side 21

To ascertain an inaccessible

angle at C formed by the lines from the extremities , A and B , of the inaccessible

of ...

To ascertain an inaccessible

**distance**, as A B , the breadth of a lake . Take theangle at C formed by the lines from the extremities , A and B , of the inaccessible

**distance**; and measure in the**distances**CA and CB . The representative Valuesof ...

Side 39

The discovery of this Proposition is ascribed to THALES , who made use of it for

measuring inaccessible

cuts DE in E ; in this case DE may be proved equal to the

The discovery of this Proposition is ascribed to THALES , who made use of it for

measuring inaccessible

**distances**, as ... DE perp . to AD , and produce BC , till itcuts DE in E ; in this case DE may be proved equal to the

**distance**from A to B . 2 . Side 44

Along EB produced set EB , as often as will make the

below CD ; in the present instance EF equalling twice EB , or EB = BF ; 3 P . 31 &

3 . From F draw FG | | CD or AE , and = AE ; 4 Conc . the line ABG is but one st ...

Along EB produced set EB , as often as will make the

**distance**EB , repeated , tallbelow CD ; in the present instance EF equalling twice EB , or EB = BF ; 3 P . 31 &

3 . From F draw FG | | CD or AE , and = AE ; 4 Conc . the line ABG is but one st ...

Side 46

By observation take the angle ZAS , the zenith

if the star S were viewed from C the centre , the angle ZCS would be its zenith

By observation take the angle ZAS , the zenith

**distance**at the earth ' s surface A :if the star S were viewed from C the centre , the angle ZCS would be its zenith

**distance**; and the angle ZCS is less than anglo ZAS . For , by P . 32 , the ext ...### Hva folk mener - Skriv en omtale

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### Vanlige uttrykk og setninger

ABCD added angle equal apply ascertain assumed Axioms base base BC bisected centre circle circumference coincide common Conc construct contained definition demonstration describe diagonal diameter distance divided draw drawn earth's equal Euclid extremity fall feet figure four Geometry given given point greater half height impossible inches inference intersect join length less line BC measure meet miles named object opposite parallel parallelogram perpendicular plane practical principle produced Prop proposition proved reason rectangle rectil rectilineal representative right angles scale sides square straight line suppose surface thing third triangle true truth units Wherefore whole

### Populære avsnitt

Side 36 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.

Side 17 - If a straight line meets 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 17 - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.

Side 41 - We assume that but one straight line can be drawn through a given point parallel to a given straight line.

Side 13 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Side 16 - LET it be granted that a straight line may be drawn from any one point to any other point.

Side 54 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.

Side 21 - If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.

Side 22 - 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 12 - 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.