## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in an Appendix, the Theory of Projection |

### Inni boken

Side 15

and , hence , because ABD , tgether

and , hence , because ABD , tgether

**with**four**right angles**, are**equal**to**twice**as**many right angles**as also parallel to C D. Therefore , & c . the**figure has**sides . For , if from any point Prop . 22. ( Euc . i . 34 , first part of . ) ... Side 18

E

E

**angle**ABE . But the base of the tri- under those two straight lines shall be**angle**A BE**is equal**to the sum of AD ... The square of**twice**M**is**rectangle of the same altitude , and upon**equal**to 4 times M square , because it**is**a base ... Side 75

therefore the rectangle under straight line which shall pass through EB , B F

therefore the rectangle under straight line which shall pass through EB , B F

**is equal**to the rectangle under the ... and because making any**angle**these two**angles**are , together , less than**with**BC , let BC two**right angles**( 1. 8. ) ... Side 97

E { cir . .441183852 403311569 B В

E { cir . .441183852 403311569 B В

**angle**A EG**is equal**to the difference cumscribed**figure**of 8 sides to contain of the triangles CED , CGH , and the 3.3137084989 & c . superficial units . In the triangle AGD to the difference of the ... Side 98

When

When

**is**not found in the last decimal Then , because the**angle**AEC**is equal**to half the**angle**ACD ( I. 19. ) ... to the half of AB : therefore FG**is**the side of a rebe taken for them . gular polygon , which**has twice**as**many**sides as the ...### Hva folk mener - Skriv en omtale

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### Andre utgaver - Vis alle

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... Pierce Morton Uten tilgangsbegrensning - 1835 |

Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Ingen forhåndsvisning tilgjengelig - 2013 |

Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Ingen forhåndsvisning tilgjengelig - 2015 |

### Vanlige uttrykk og setninger

A B C altitude axes axis base bisected called centre chord circle circumference circumscribed co-ordinates coincide common cone contained conversely corresponding curve cylinder demonstration describe diameter difference distance divided draw drawn ellipse equal equation evident faces figure four fourth Geometry given given point greater greatest half hence hyperbola inscribed intersection join less likewise locus magnitudes manner mean measure meet opposite origin parallel parallelogram pass perimeter perpendicular plane polygon position produced projection PROP proportionals proposition pyramid radius ratio rectangle referred regular remainder respectively right angles segment shown sides similar solid sphere spherical square straight line surface taken tangent third touch triangle values vertex vertical whole

### Populære avsnitt

Side 196 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.

Side 64 - 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 20 - In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles ; and upon BC, one of the sides containing it, let fall the perpendicular...

Side 10 - 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.

Side 189 - ... shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, viz.

Side 1 - 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 84 - The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference.

Side 78 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.

Side 79 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.

Side 264 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.