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 4
... opposite , at the vertex , ( called vertical angles , ) are equal . Each of the two angles AEC and DEB , expresses the inclination of the two straight lines AB and CD , to each other ; they are there- fore equal angles . If the two ...
... opposite , at the vertex , ( called vertical angles , ) are equal . Each of the two angles AEC and DEB , expresses the inclination of the two straight lines AB and CD , to each other ; they are there- fore equal angles . If the two ...
Σελίδα 10
... opposite the right - angle is called the hy- pothenuse . 35. The first inquiry concerning the properties of tri- angles , respects the sum of the three angles ; is it always Fig . 21. the same ? Let us take the triangle ABC ( fig . 21 ) ...
... opposite the right - angle is called the hy- pothenuse . 35. The first inquiry concerning the properties of tri- angles , respects the sum of the three angles ; is it always Fig . 21. the same ? Let us take the triangle ABC ( fig . 21 ) ...
Σελίδα 11
... opposite . We say then- The ex- terior angle , made by producing one of the sides of the triangle , is equal to the sum of the two interior and oppo- site angles . 38. Problem . The three sides of a triangle being given , to construct ...
... opposite . We say then- The ex- terior angle , made by producing one of the sides of the triangle , is equal to the sum of the two interior and oppo- site angles . 38. Problem . The three sides of a triangle being given , to construct ...
Σελίδα 14
... opposite to the equal sides , are equal . 2. A straight line drawn from the summit of the isosce- les triangle to ... opposite to the greater angle . If we had compared either of these angles with the angle A , and also their opposite ...
... opposite to the equal sides , are equal . 2. A straight line drawn from the summit of the isosce- les triangle to ... opposite to the greater angle . If we had compared either of these angles with the angle A , and also their opposite ...
Σελίδα 15
... opposite angles will be unequal ( 47 ) ; therefore -- If in any triangle two of the angles are equal , the sides opposite those an- gles will be equal , and the triangle will be isosceles . 49. In a right - angled triangle , as the two ...
... opposite angles will be unequal ( 47 ) ; therefore -- If in any triangle two of the angles are equal , the sides opposite those an- gles will be equal , and the triangle will be isosceles . 49. In a right - angled triangle , as the two ...
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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
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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...