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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Side x
... ratios , used by NEWTON in his Principia , " to avoid , ” as he says , " the tediousness of deducing per- plexed demonstrations ad absurdum . " Carnot says of the method of limits , that " it is of very great importance , as it relieves ...
... ratios , used by NEWTON in his Principia , " to avoid , ” as he says , " the tediousness of deducing per- plexed demonstrations ad absurdum . " Carnot says of the method of limits , that " it is of very great importance , as it relieves ...
Side xv
... Ratios and Proportions Of Similar Rectilinear Figures Of the Straight Line and Circle Of Polygons inscribed in a Circle and circumscribed about a Circle SECTION II . OF THE MEASURE and COMPARISON OF PLANE SURFACES Of the Measure of ...
... Ratios and Proportions Of Similar Rectilinear Figures Of the Straight Line and Circle Of Polygons inscribed in a Circle and circumscribed about a Circle SECTION II . OF THE MEASURE and COMPARISON OF PLANE SURFACES Of the Measure of ...
Side 22
... Ratios and Proportions . 73. Before entering upon an examination of the laws of proportion , it will be proper to explain the meaning of certain signs which are found very convenient in ex- pressing mathematical truths . When we wish to ...
... Ratios and Proportions . 73. Before entering upon an examination of the laws of proportion , it will be proper to explain the meaning of certain signs which are found very convenient in ex- pressing mathematical truths . When we wish to ...
Side 23
... ratios . 74. To find a common measure of two lines , and hence their ratio , we employ a method similar to that in arith- metic for finding the greatest common divisor of two numbers . Let AB and CD ( fig . 43 ) be two straight lines of ...
... ratios . 74. To find a common measure of two lines , and hence their ratio , we employ a method similar to that in arith- metic for finding the greatest common divisor of two numbers . Let AB and CD ( fig . 43 ) be two straight lines of ...
Side 24
... ratio of 45 to 14. This ratio we write in a fraction , 45. The ratio of two lines , therefore , is the number of times the first contains the second ; as the ratio of two numbers is the quotient arising from the division of the first by ...
... ratio of 45 to 14. This ratio we write in a fraction , 45. The ratio of two lines , therefore , is the number of times the first contains the second ; as the ratio of two numbers is the quotient arising from the division of the first by ...
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 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
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 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 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 62 - The rectangle contained by the sum and difference of two lines, is equivalent to the difference of the squares of those lines.
Side 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...