Elements of Geometry Upon the Inductive Method: To which is Added an Introduction to Descriptive GeometryHilliard and Brown, 1829 - 172 sider |
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Resultat 1-5 av 24
Side 81
... pyramids . The body SABCDE ( fig . 126 ) is Fig.126 . a pentagonal pyramid , because its base ABCDE is a Elements of Geometry . 81.
... pyramids . The body SABCDE ( fig . 126 ) is Fig.126 . a pentagonal pyramid , because its base ABCDE is a Elements of Geometry . 81.
Side 82
... pyramid . Fig.127 . The tetraedron SABC ( fig . 127 ) is a triangular pyra- mid . And in general , a pyramid is called triangular , quadrangular , pentagonal , hexagonal , & c . , according as its base is a triangle , quadrangle ...
... pyramid . Fig.127 . The tetraedron SABC ( fig . 127 ) is a triangular pyra- mid . And in general , a pyramid is called triangular , quadrangular , pentagonal , hexagonal , & c . , according as its base is a triangle , quadrangle ...
Side 83
... pyramid S - FGHIK ( fig.129 ) Fig.129 . be cut by a plane ABCDE , parallel to its base . Suppose SQ to be a perpendicular drawn from the summit to the base produced , the cutting plane will pass through the point P. The pentagon ABCDE ...
... pyramid S - FGHIK ( fig.129 ) Fig.129 . be cut by a plane ABCDE , parallel to its base . Suppose SQ to be a perpendicular drawn from the summit to the base produced , the cutting plane will pass through the point P. The pentagon ABCDE ...
Side 84
... pyramids have their sides proportional and their an- gles equal , they are consequently similar pentagons . These two pyramids are contained by similar planes similarly arranged , and the inclination of any two planes in the less pyramid ...
... pyramids have their sides proportional and their an- gles equal , they are consequently similar pentagons . These two pyramids are contained by similar planes similarly arranged , and the inclination of any two planes in the less pyramid ...
Side 85
... pyramid , sec- tions made by parallel planes , are to each other as the squares of the distances of these planes from the summit . SF SG SH 235. We had = SF SQ SA SP = SA SB SC ' & c . We have also = ; we say , therefore , -Similar pyramids ...
... pyramid , sec- tions made by parallel planes , are to each other as the squares of the distances of these planes from the summit . SF SG SH 235. We had = SF SQ SA SP = SA SB SC ' & c . We have also = ; we say , therefore , -Similar pyramids ...
Andre utgaver - Vis alle
Elements of Geometry Upon the Inductive Method: To which is Added an ... James Hayward Uten tilgangsbegrensning - 1829 |
Elements of Geometry Upon the Inductive Method James Hayward Ingen forhåndsvisning tilgjengelig - 2019 |
Elements of Geometry Upon the Inductive Method James Hayward Ingen forhåndsvisning tilgjengelig - 2019 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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...
Side 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.