Elements of Geometry Upon the Inductive Method: To which is Added an Introduction to Descriptive GeometryHilliard and Brown, 1829 - 172 Seiten |
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Seite 122
... horizontal , and is called the ground line , Let AB ( fig . 1 ) represent the ground line , and the plane of the paper the horizontal plane of projection . The vertical plane of projection will pass through AB perpendicular to the plane ...
... horizontal , and is called the ground line , Let AB ( fig . 1 ) represent the ground line , and the plane of the paper the horizontal plane of projection . The vertical plane of projection will pass through AB perpendicular to the plane ...
Seite 123
... horizontal plane ; the in- tersections of these perpendiculars with the horizontal plane , make their projection upon this plane : This is called their horizontal projection . Secondly , the several points are projected by ...
... horizontal plane ; the in- tersections of these perpendiculars with the horizontal plane , make their projection upon this plane : This is called their horizontal projection . Secondly , the several points are projected by ...
Seite 124
... horizontal plane ; and the dis- tance of the horizontal projection of a point from the ground line , is equal to the distance of the point , in space , from the vertical plane . It follows , therefore , that all points situated in the ...
... horizontal plane ; and the dis- tance of the horizontal projection of a point from the ground line , is equal to the distance of the point , in space , from the vertical plane . It follows , therefore , that all points situated in the ...
Seite 125
... horizontal trace is M'N ' , and whose vertical trace M " N " , is called usually , the plane ( M'N ' , M " N ... horizontal projection of a straight line , is the horizontal trace of a plane passing through the line , and perpendicular ...
... horizontal trace is M'N ' , and whose vertical trace M " N " , is called usually , the plane ( M'N ' , M " N ... horizontal projection of a straight line , is the horizontal trace of a plane passing through the line , and perpendicular ...
Seite 126
... horizontal pro- jection perpendicular to the horizontal plane , the plane must pass through the proposed line ; and passing a plane through the vertical projection perpendicular to the ver- tical plane , this plane will also pass ...
... horizontal pro- jection perpendicular to the horizontal plane , the plane must pass through the proposed line ; and passing a plane through the vertical projection perpendicular to the ver- tical plane , this plane will also pass ...
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Häufige Begriffe und Wortgruppen
ABCD allel axis base body called centre chord circ circumference circumscribed co-ordinate planes common conical surface construct contained cutting plane cylinder cylindrical surface Descriptive Geometry diagonals diameter diedral distance draw equivalent exterior angles faces figure four right-angles generatrix give given line ground line height homologous horizontal plane horizontal projection horizontal trace hypothenuse inclination inscribed polygon intersection isosceles triangle lines parallel lunary surface magnitude measure meet multiplied number of sides opposite parallel lines parallelogram parallelopiped perpen perpendicular perspective plane angles plane of projection polyedral angle polyedrons prism PROBLEM projecting planes proposed plane proposition pyramid radii ratio rectangle rectilinear regular polygons right-angled triangle right-line similar triangles sphere square straight line summit Suppose surface of revolution tangent tetraedron tion triangle ABC triangular triangular prism triedral angle truth vertex vertical plane vertical projection volume
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Seite ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Seite xvi - 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 ii - An act supplementary to an act, entitled, * An act for the encouragement of learning, by securing the copies of maps, charts, and books to the authors and proprietors of such copies, during the times therein mentioned,* and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.
Seite xvii - FGH, have a side and the two adjacent angles of the one equal to a side and the two adjacent angles of the other, each to each ; therefore these triangles are equal (Prop.
Seite 51 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Seite 47 - The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides.
Seite xi - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Seite 10 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Seite ii - CLERK'S OFFIcE. BE it remembered, that on the eleventh day of November, AD 1830, in the fiftyfifth year of the Independence of the United States of America, Gray & Bowen, of the said district, have deposited in this office the title of a book, the right whereof...
Seite 49 - Prove that in any triangle the square on the side opposite an acute angle is equivalent to the sum of the squares of the other two sides diminished by twice the product of one of these sides and the projection of the other upon that side.