## Elements of Geometry: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical Trigonometry |

### Inni boken

Side 163

I two triangles

I two triangles

**have one angle of the one equal to one angle of the other**, and the sides about the equal angles proportionals , the triangles shall be equiangular , and shall have those angles equal which are opposite to the homologous ... Side 165

THE O R. TE F two triangles

THE O R. TE F two triangles

**have one angle of the one equal to one angle of the other**, and the sides about two other angles proportionals , then , if each of the remaining angles be either less , or not less , than a right angle ... Side 171

QUAL parallelograms which

QUAL parallelograms which

**have one angle of the one equal to one angle of the other**, have their sides about the equal angles reciprocally proportional : And parallelograms that**have one angle of the one equal to one angle of the other**... Side 172

EQUAL triangles which

EQUAL triangles which

**have one angle of the one equal to one angle of the other**, have their fides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other ...### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Andre utgaver - Vis alle

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 Two ... Euclid,John Playfair Uten tilgangsbegrensning - 1795 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1851 |

### Vanlige uttrykk og setninger

ABCD alſo altitude angle ABC angle BAC arch baſe BC is equal becauſe biſected Book Book VII caſe centre circle circle ABC circumference common cylinder definition demonſtrated deſcribed diameter difference divided double draw drawn equal equal angles equiangular Euclid extremity fall fame fides firſt folid fore four fourth given given ſtraight line greater half inſcribed join leſs Let ABC magnitudes manner meet multiple muſt oppoſite parallel parallelogram perpendicular plane polygon priſm produced PROP proportionals propoſition proved radius ratio rectangle contained remaining right angles ſame ſame reaſon ſecond ſegment ſhall ſides ſimilar ſolid ſquare ſtraight line ſum taken tangent THEOR theſe third thoſe touches triangle triangle ABC wherefore whole

### Populære avsnitt

Side 27 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...

Side 165 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.

Side 18 - 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.

Side 9 - Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC.

Side 3 - 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 33 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Side 12 - ABC: and it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. Therefore the angles at the base, &c.

Side 6 - Let it be granted that a straight line may be drawn from any one point to any other point.

Side 166 - But by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : And the angle at A is equal to the angle at D ; wherefore...

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...