Elements of the Geometry of Planes and Solids: With Four PlatesThe author, 1828 - 159 Seiten |
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Seite 40
... bases and alti- tude , are equal . Scholium 4. For the same reason also the triangle is half the parallelogram , of equal base and altitude . § 32. PROBLEM . To describe a parallelogram equal to a given triangle , and which shall have ...
... bases and alti- tude , are equal . Scholium 4. For the same reason also the triangle is half the parallelogram , of equal base and altitude . § 32. PROBLEM . To describe a parallelogram equal to a given triangle , and which shall have ...
Seite 41
... bases , and between the same parallels ; the triangle BED , stands with the parallelogram BEFG , up- on the same base BE , and between the same parallels BE , and GF ; it is therefore half that triangle ; the two triangles BDE , and EDC ...
... bases , and between the same parallels ; the triangle BED , stands with the parallelogram BEFG , up- on the same base BE , and between the same parallels BE , and GF ; it is therefore half that triangle ; the two triangles BDE , and EDC ...
Seite 44
... base BI , and are between the same parallels AK and BI ; the triangle ABI , is , therefore , half the parallelogram BK . In the two triangles CBD , and ABI , the angle DBC , is equal to the angle ABI , being each of them equal to the ...
... base BI , and are between the same parallels AK and BI ; the triangle ABI , is , therefore , half the parallelogram BK . In the two triangles CBD , and ABI , the angle DBC , is equal to the angle ABI , being each of them equal to the ...
Seite 74
... bases . § 63. THEOREM . If two sides of a triangle , or their protractions , are cut by a line parallel to the third ... base BC , and being between the same parallels RC , and DE ; the two triangles ABC , and BCD , having the point C ...
... bases . § 63. THEOREM . If two sides of a triangle , or their protractions , are cut by a line parallel to the third ... base BC , and being between the same parallels RC , and DE ; the two triangles ABC , and BCD , having the point C ...
Seite 78
... evidently furnishes the means to make a square equal to a given rectangular parallelogram ; and as every oblique angular parallelogram is equal to a rectangular one of equal base and altitude , 76 [ PART I. PLANE GEOMETRY .
... evidently furnishes the means to make a square equal to a given rectangular parallelogram ; and as every oblique angular parallelogram is equal to a rectangular one of equal base and altitude , 76 [ PART I. PLANE GEOMETRY .
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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...