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 15
... difference between the other two sides ; if this were not the case , the greatest would exceed or at least equal the sum of the two others . 51. Suppose AB ( fig . 29 ) perpendicular to DC , and Fig . 29 . AE and AF two lines drawn from ...
... difference between the other two sides ; if this were not the case , the greatest would exceed or at least equal the sum of the two others . 51. Suppose AB ( fig . 29 ) perpendicular to DC , and Fig . 29 . AE and AF two lines drawn from ...
Σελίδα 22
... difference of the two magnitudes . To express the multiplication of two magnitudes , we use this sign X ; thus , A X B ; which is read , A multi- plied by B ; and signifies the product of these magni- tudes . • A period ( . ) placed ...
... difference of the two magnitudes . To express the multiplication of two magnitudes , we use this sign X ; thus , A X B ; which is read , A multi- plied by B ; and signifies the product of these magni- tudes . • A period ( . ) placed ...
Σελίδα 26
... difference of the terms of the second ratio contains its denominator . 82. From the two last articles , we have by alternation A + a a A a a a and ; but as is common to the B + b b B- b b A two proportions , and also equal to we have ...
... difference of the terms of the second ratio contains its denominator . 82. From the two last articles , we have by alternation A + a a A a a a and ; but as is common to the B + b b B- b b A two proportions , and also equal to we have ...
Σελίδα 27
... difference of the numerators , contains the difference of the denominators . 84. If we have a series of equal ratios , D E B A B C a & c .; by applying law VIII , we obtain d e B C b с b C or as we may write instead of this ; and ...
... difference of the numerators , contains the difference of the denominators . 84. If we have a series of equal ratios , D E B A B C a & c .; by applying law VIII , we obtain d e B C b с b C or as we may write instead of this ; and ...
Σελίδα 40
... difference of the two angles BCB ' , BCA ; BCB ' has for its measure half the arc BB ' ; BCA has for its measure half of AB ; conse- quently , the remaining angle ACB must have for its measure half the remaining arc AB ' ; and therefore ...
... difference of the two angles BCB ' , BCA ; BCB ' has for its measure half the arc BB ' ; BCA has for its measure half of AB ; conse- quently , the remaining angle ACB must have for its measure half the remaining arc AB ' ; and therefore ...
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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...