The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 Seiten |
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Seite v
... Two Circles .. Measurement of Angles ..... Quadrilaterals . Problems of Construction .. Exercises , Theorems .. Loci ... Problems .. 74 78 88 90 102 104 123 127 129 V BOOK III . RATIO AND PROPORTION : SIMILAR FIGURES .
... Two Circles .. Measurement of Angles ..... Quadrilaterals . Problems of Construction .. Exercises , Theorems .. Loci ... Problems .. 74 78 88 90 102 104 123 127 129 V BOOK III . RATIO AND PROPORTION : SIMILAR FIGURES .
Seite vi
Edward Albert Bowser. BOOK III . RATIO AND PROPORTION : SIMILAR FIGURES . PAGE Ratio and Proportion 134 Proportional Lines . . 143 Similar Figures 149 Similar Triangles 150 Similar Polygons .. 155 Numerical Relations between the ...
Edward Albert Bowser. BOOK III . RATIO AND PROPORTION : SIMILAR FIGURES . PAGE Ratio and Proportion 134 Proportional Lines . . 143 Similar Figures 149 Similar Triangles 150 Similar Polygons .. 155 Numerical Relations between the ...
Seite 91
... ratio . Thus , the ratio of A to B is or A : B. A B ' Since the ratio of two quantities is found by dividing the first by the second , therefore the ratio of two quantities is the number which would express the measure of the first , if ...
... ratio . Thus , the ratio of A to B is or A : B. A B ' Since the ratio of two quantities is found by dividing the first by the second , therefore the ratio of two quantities is the number which would express the measure of the first , if ...
Seite 92
... ratio will be m n 232. Two quantities are incommensurable when they have no common measure . The ratio of such quantities is called an incommensurable ratio . This ratio cannot be ex- actly expressed in figures ; but its numerical value ...
... ratio will be m n 232. Two quantities are incommensurable when they have no common measure . The ratio of such quantities is called an incommensurable ratio . This ratio cannot be ex- actly expressed in figures ; but its numerical value ...
Seite 93
... ratio will express the ratio of two incommensurable quantities to any re- quired degree of accuracy . 233. THEOREM . Two incommensurable ratios are equal , if their approximate numerical values always remain equal while the common ...
... ratio will express the ratio of two incommensurable quantities to any re- quired degree of accuracy . 233. THEOREM . Two incommensurable ratios are equal , if their approximate numerical values always remain equal while the common ...
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Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ABCD adjacent angles altitude angles are equal base bisect bisector centre chord circumference circumscribed coincide cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equilateral triangle equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 prove Proof pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Beliebte Passagen
Seite 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Seite 188 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Seite 45 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Seite 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Seite 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Seite 57 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Seite 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Seite 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.
Seite 378 - The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone.