Elements of Geometry Upon the Inductive Method: To which is Added an Introduction to Descriptive GeometryHilliard and Brown, 1829 - 172 páginas |
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Página 2
... radii of the circle . A straight line passing through the centre and terminating in the circumfer- ence , is called a diameter . Any portion of this curve , as BD , is called an arc of the circle . In the same circle are the radii equal ...
... radii of the circle . A straight line passing through the centre and terminating in the circumfer- ence , is called a diameter . Any portion of this curve , as BD , is called an arc of the circle . In the same circle are the radii equal ...
Página 35
... radii DO , EO , and the arc DGE , is called a sector . The portion contained between the chord and the arc is called a segment of the circle . 106. If the two radii DO , EO , the chord DE and the arc DGE , be made to revolve together ...
... radii DO , EO , and the arc DGE , is called a sector . The portion contained between the chord and the arc is called a segment of the circle . 106. If the two radii DO , EO , the chord DE and the arc DGE , be made to revolve together ...
Página 36
... radii , and be- comes a diameter ( 7 ) ; it subtends no angle , and is no longer called a chord . But as the chord continues to increase till it is confounded with the diameter , we see that -- Of two unequal chords , the greater is at ...
... radii , and be- comes a diameter ( 7 ) ; it subtends no angle , and is no longer called a chord . But as the chord continues to increase till it is confounded with the diameter , we see that -- Of two unequal chords , the greater is at ...
Página 38
... radii ; and divide each of the Fig . 56. arcs by this common measure ; and to the several points of division draw radii ; the two angles ACB , A'C'B ' , will be divided into equal angles . If the arc ab is a com- mon measure of the arcs ...
... radii ; and divide each of the Fig . 56. arcs by this common measure ; and to the several points of division draw radii ; the two angles ACB , A'C'B ' , will be divided into equal angles . If the arc ab is a com- mon measure of the arcs ...
Página 42
... radii CB , CD , the angles ABC , ADC , being each inscribed in a semicircle , will be right angles ; that is , the straight lines AB , AD , are perpendicular to the radii CB , CD , at their extremities ( 121 ) . It appears that , from ...
... radii CB , CD , the angles ABC , ADC , being each inscribed in a semicircle , will be right angles ; that is , the straight lines AB , AD , are perpendicular to the radii CB , CD , at their extremities ( 121 ) . It appears that , from ...
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Términos y frases comunes
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
Pasajes populares
Página 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...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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...
Página 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.