Elements of Geometry and Trigonometry: From the Works of A.M. LegendreA.S. Barnes, 1874 - 455 Seiten |
Im Buch
Ergebnisse 1-5 von 21
Seite 12
... tains the same unit an equal number of times . 15. Magnitudes are equal in all their parts , when they may be so placed as to coincide throughout their whole extent . ELEMENTS OF OF GEOMETRY . BOOK I. ELEMENTARY PRINCIPLES . 12 GEOMETRY .
... tains the same unit an equal number of times . 15. Magnitudes are equal in all their parts , when they may be so placed as to coincide throughout their whole extent . ELEMENTS OF OF GEOMETRY . BOOK I. ELEMENTARY PRINCIPLES . 12 GEOMETRY .
Seite 63
... placed upon the sector EOG , so that the angle ACD shall coincide with the angle EOG , the sectors will coincide throughout ; and , consequently , the arcs AMD and ENG will coincide : hence , they will be equal ; which was to be proved ...
... placed upon the sector EOG , so that the angle ACD shall coincide with the angle EOG , the sectors will coincide throughout ; and , consequently , the arcs AMD and ENG will coincide : hence , they will be equal ; which was to be proved ...
Seite 66
... at the greater distance from the centre . 1o . In the equal circles ACH and KLG , let the chords AC and KL be equal : then will they be equally distant from the centres . For , let the circle KLG be placed upon the 66 GEOMETRY .
... at the greater distance from the centre . 1o . In the equal circles ACH and KLG , let the chords AC and KL be equal : then will they be equally distant from the centres . For , let the circle KLG be placed upon the 66 GEOMETRY .
Seite 67
... placed upon the centre R shall fall upon the centre O , K upon the point A : then will the chord KL coincide with AC ( P. ACH , so that and the point B M D IV . ) ; and consequently , they will be equally dis- A K R tant from the centre ...
... placed upon the centre R shall fall upon the centre O , K upon the point A : then will the chord KL coincide with AC ( P. ACH , so that and the point B M D IV . ) ; and consequently , they will be equally dis- A K R tant from the centre ...
Seite 75
... then will they be proportional to the arcs AB and FH . For , let the less angle FOH , angle ACB , So that it shall DIOB F be placed upon the greater take the position ACD . Then , it the proposition is not true , let BOOK III . 75.
... then will they be proportional to the arcs AB and FH . For , let the less angle FOH , angle ACB , So that it shall DIOB F be placed upon the greater take the position ACD . Then , it the proposition is not true , let BOOK III . 75.
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
AB² ABCD AC² adjacent angles altitude apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter difference distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine slant height sphere spherical polygon spherical triangle square subtracted Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence
Beliebte Passagen
Seite 126 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Seite 59 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Seite 18 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Seite 104 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Seite 6 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Seite 28 - If two triangles have two sides of the one equal to two sides of the...
Seite 46 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 99 - The area of a parallelogram is equal to the product of its base and altitude.
Seite 172 - If two planes are perpendicular to 'each other, a straight line drawn in one of them, perpendicular to their intersection, will be perpendicular to the other.
Seite 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.