Elements of Geometry Upon the Inductive Method: To which is Added an Introduction to Descriptive GeometryHilliard and Brown, 1829 - 172 σελίδες |
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Σελίδα xvi
... Tangent Planes to Curve Surfaces Plane Sections of Curve Surfaces - Of the Intersections of Curve Surfaces 144 1 145 146 1 147 147 SECT . V. Of Linear Perspective 148 - 151 153 - 154 158 167 Of Spherical Projections The Orthographic ...
... Tangent Planes to Curve Surfaces Plane Sections of Curve Surfaces - Of the Intersections of Curve Surfaces 144 1 145 146 1 147 147 SECT . V. Of Linear Perspective 148 - 151 153 - 154 158 167 Of Spherical Projections The Orthographic ...
Σελίδα 35
... tangent , as AB ( fig . 50 ) . When it is said that , Fig . 50 . the straight line touches the circumference , it is meant that its direction is such that if it were produced ever so far each way , it would have only one point in common ...
... tangent , as AB ( fig . 50 ) . When it is said that , Fig . 50 . the straight line touches the circumference , it is meant that its direction is such that if it were produced ever so far each way , it would have only one point in common ...
Σελίδα 37
... tangent ; it must consequently be perpendicular to the tangent ( 51 ) ; therefore - To draw a tangent to any point in a circum- ference , we have only to draw a straight line perpendicu- lar to radius at that point . As many circles ...
... tangent ; it must consequently be perpendicular to the tangent ( 51 ) ; therefore - To draw a tangent to any point in a circum- ference , we have only to draw a straight line perpendicu- lar to radius at that point . As many circles ...
Σελίδα 38
... tangent to each other , and having their centres on the same side of the point of contact ? 112. If we draw the secant , MN ( fig . 55 ) parallel to the tangent , it will be perpendicular to the radius CA ; and as the interior portion ...
... tangent to each other , and having their centres on the same side of the point of contact ? 112. If we draw the secant , MN ( fig . 55 ) parallel to the tangent , it will be perpendicular to the radius CA ; and as the interior portion ...
Σελίδα 40
... tangent . We infer , therefore , that the error , if there be one , must be infinitely small . But to ascertain whether there is any error in this re- sult , draw through the centre parallels to the chord and Fig . 60. tangent ( fig ...
... tangent . We infer , therefore , that the error , if there be one , must be infinitely small . But to ascertain whether there is any error in this re- sult , draw through the centre parallels to the chord and Fig . 60. tangent ( fig ...
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Elements of Geometry Upon the Inductive Method James Hayward Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Elements of Geometry Upon the Inductive Method James Hayward Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD allel axis base bisect body called centre chord circumference co-ordinate planes conical surface construct contained cutting plane cylinder cylindrical surface Descriptive Geometry determine diagonals diameter dicular diedral distance draw equivalent exterior angles faces figure four right-angles generatrix Geometry give given line ground line height homologous horizontal plane horizontal projection horizontal trace hypothenuse inclination inscribed polygon intersection isosceles triangle line parallel lunary surface magnitude meet multiplied number of sides opposite parallel lines parallelogram parallelopiped perpen perpendicular perspective plane angles plane of projection plane passing polyedral angle polyedrons PROBLEM projecting planes proposed plane proposed point pyramid radii ratio rectangle rectilinear regular polygons revolve right-angled triangle right-line similar triangles sphere square straight line summit Suppose surface of revolution tangent tetraedron tion triangle ABC triangular prism triedral angle vertex vertical plane vertical projection volume
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 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.
Σελίδα 13 - 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.
Σελίδα 65 - 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.
Σελίδα 61 - The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides.
Σελίδα 12 - 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.
Σελίδα 63 - 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.
Σελίδα 24 - 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.
Σελίδα 62 - The rectangle contained by the sum and difference of two lines, is equivalent to the difference of the squares of those lines.
Σελίδα ii - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled 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...