Elements of the Geometry of Planes and Solids: With Four PlatesThe author, 1828 - 159 Seiten |
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Seite 12
... chord , is any straight line drawn in the circle and terminated on both sides by the circumference . Like EF , in figure 2 . 16. A sector , is a part of a circle contained by two radii and a part of the circumference of a circle , as ...
... chord , is any straight line drawn in the circle and terminated on both sides by the circumference . Like EF , in figure 2 . 16. A sector , is a part of a circle contained by two radii and a part of the circumference of a circle , as ...
Seite 48
... the same circle has all the radii equal . Corol . 3. The line drawn perpendicular to the middle of a chord , passes through the centre of the circle . Corol . 4. The line from the centre of the 48 [ PART I. PLANE GEOMETRY .
... the same circle has all the radii equal . Corol . 3. The line drawn perpendicular to the middle of a chord , passes through the centre of the circle . Corol . 4. The line from the centre of the 48 [ PART I. PLANE GEOMETRY .
Seite 49
... chord bisects that chord , and the angle at the centre ; for the two triangles upon the half chords being equal in all respects , have the angles at the centre equal . § 40. PROBLEM . Through three given points , that are not in one ...
... chord bisects that chord , and the angle at the centre ; for the two triangles upon the half chords being equal in all respects , have the angles at the centre equal . § 40. PROBLEM . Through three given points , that are not in one ...
Seite 52
... chord of the circle sought , and bisected in D , the centre of this circle must ( by the Prop . 39 , ) also lie in the perpendicular DF , upon this chord ; therefore , this centre must lie in the intersection of the two lines , as in F ...
... chord of the circle sought , and bisected in D , the centre of this circle must ( by the Prop . 39 , ) also lie in the perpendicular DF , upon this chord ; therefore , this centre must lie in the intersection of the two lines , as in F ...
Seite 55
... chords are equal- ly distant from the centre , smaller chords are at a greater distance , and greater chords at a less ... chord DA , will be less than AB . The di- ameter GL , will be the greatest straight line that can be drawn in the ...
... chords are equal- ly distant from the centre , smaller chords are at a greater distance , and greater chords at a less ... chord DA , will be less than AB . The di- ameter GL , will be the greatest straight line that can be drawn in the ...
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Elements of the Geometry of Planes and Solids: With Four Plates (Classic ... F. R. Hassler Keine Leseprobe verfügbar - 2018 |
Häufige Begriffe und Wortgruppen
ABCD angle equal angle G angles opposite angular point APPLIC base and altitude bisect centre chord circumference circumscribed circle common intersection cone Corol cutting line cylinder Demonstr describe determine diagonal diameter draw drawn equal angles equal base equal sides equiangular equilateral triangle four right angles frustum given angle given circle given lines given point given straight line given triangle gles greater inner angles inscribed join line BC opposite angles parallel planes parallelepiped parallelogram perpendicular plane angles Plane Geometry point of intersection prisms PROBLEM Proof proportional protracted pyramid quadrilateral figure radii radius ratio rectilineal figure regular poligon Scholium segment side AC similar similar triangles six right solid angle solid content sphere square subtended supposition surface tangent thence THEOREM third plane third side three plane three sides triangle ABC triangular vertex
Beliebte Passagen
Seite 44 - IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle...
Seite 20 - 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.
Seite 11 - 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.
Seite 2 - BBOWN, of the said district, hath deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : " Sertorius : or, the Roman Patriot.
Seite 36 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 119 - If a solid angle be contained by three plane angles, any two of them are together greater than the third. Let the solid angle at A be contained by the three plane angles BAC, CAD, DAB : any two of them shall be together greater than the third.
Seite 61 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and...
Seite 113 - If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane.
Seite 29 - EBF, there are two angles in the one equal to two angles in the other, each to each ; and the side EF, which is opposite to one of the equal angles in each, is common to both ; therefore the other sides are equal ; (I.
Seite 16 - E the centre of the circle, and join EA, EB. Then, because AF is equal to FB, and FE common to the two triangles AFE, BFE, there are two sides in the one, equal to two sides in the other, and the base EA is equal to the base EB; therefore the angle AFE is equal...