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 6
... remaining the same , it will change the magnitude of each of the angles at H ; and neither of the five propositions will be true . We have therefore the converse of these propositions ; and we say that , when a straight line meets two ...
... remaining the same , it will change the magnitude of each of the angles at H ; and neither of the five propositions will be true . We have therefore the converse of these propositions ; and we say that , when a straight line meets two ...
Σελίδα 10
... how can we find the remaining angle ? ( 2. ) How many obtuse angles can a triangle have ? Why ? ( 3. ) How many right angles can any triangle have ? Explain . ( 4. ) If one angle of any triangle , 10 Elements of Geometry .
... how can we find the remaining angle ? ( 2. ) How many obtuse angles can a triangle have ? Why ? ( 3. ) How many right angles can any triangle have ? Explain . ( 4. ) If one angle of any triangle , 10 Elements of Geometry .
Σελίδα 13
... remaining sides of the one will be equal respectively to the two remaining sides of the oth- This is the third case of equal triangles . er . 44. Problem . The hypothenuse and one other side of a right - angled triangle being given , to ...
... remaining sides of the one will be equal respectively to the two remaining sides of the oth- This is the third case of equal triangles . er . 44. Problem . The hypothenuse and one other side of a right - angled triangle being given , to ...
Σελίδα 36
... remaining the same , if their angle is in- creased , the third side DE must be increased ( 32 ) ; there- fore -- The greater arc is subtended by the greater chord . By increasing the side DE of the triangle , we increase the angle O ...
... remaining the same , if their angle is in- creased , the third side DE must be increased ( 32 ) ; there- fore -- The greater arc is subtended by the greater chord . By increasing the side DE of the triangle , we increase the angle O ...
Σελίδα 39
... remaining the same , if any mag- nitude however small be subtracted from the other arc , a corresponding magnitude must be subtracted from its angle , to preserve the proportion ; and if any magni- tude however small be added to this ...
... remaining the same , if any mag- nitude however small be subtracted from the other arc , a corresponding magnitude must be subtracted from its angle , to preserve the proportion ; and if any magni- tude however small be added to this ...
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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...