Elementary Geometry: With Applications in MensurationA. S. Barnes & Company, 1850 - 216 Seiten |
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Seite 5
... difference between the extremes , the level , in passing from one grade to the other , is scarcely broken . Each of these classes of seminaries requires text - books adapted to its own peculiar wants ; and if each held its proper place ...
... difference between the extremes , the level , in passing from one grade to the other , is scarcely broken . Each of these classes of seminaries requires text - books adapted to its own peculiar wants ; and if each held its proper place ...
Seite 45
... difference be- tween the radii AD and FC would not be equal to CD , the distance between their centres : therefore , they cannot have two points in common when the difference of their radii is equal to the distance between their centres ...
... difference be- tween the radii AD and FC would not be equal to CD , the distance between their centres : therefore , they cannot have two points in common when the difference of their radii is equal to the distance between their centres ...
Seite 49
... AMDC . It may be shown , by taking the difference between the two angles DAE and DAC , that the angle CAE is measured by half the arc AC included between its sides . Of the Circle . THEOREM XV . If a tangent 5 BOOK II . 49.
... AMDC . It may be shown , by taking the difference between the two angles DAE and DAC , that the angle CAE is measured by half the arc AC included between its sides . Of the Circle . THEOREM XV . If a tangent 5 BOOK II . 49.
Seite 51
... difference of the intercepted arcs . Let the two secants DE and EB inter- sect each other at E : then will the angle ... difference of the arcs DFB and CA : hence , the equal angle E is also measured by half the difference of the ...
... difference of the intercepted arcs . Let the two secants DE and EB inter- sect each other at E : then will the angle ... difference of the arcs DFB and CA : hence , the equal angle E is also measured by half the difference of the ...
Seite 52
... difference of CFA and CF. But since the tangent DC and the chord AF are parallel , the arc CF is equal to the arc CA : hence the angle BAF , or its equal BDC , which is meas- , ured by half the difference of CFA and CF , is also ...
... difference of CFA and CF. But since the tangent DC and the chord AF are parallel , the arc CF is equal to the arc CA : hence the angle BAF , or its equal BDC , which is meas- , ured by half the difference of CFA and CF , is also ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
12 feet ABCD adjacent angles allel altitude angles equal axis base multiplied bisect breadth called centre chains chord circle whose diameter circular sector circumference common cone consequently convex surface cube cylinder decimal dicular divide dodecagon draw entire surface equal altitudes equal Bk equal to half equivalent figure find the area frustum GEOMETRY half the arc half the product hence heptagon homologous sides hypothenuse included angle inscribed intersection length Let ABCD lower base measured by half Mensuration of Surfaces nonagon number of sides opposite angles outward angle parallelogram parallelopipedon pendicular pentagon perimeter perpen perpendicular plane prism PROBLEM quadrilateral radii radius rectangle regular polygon Required the area rhombus right angled triangle right angles Bk S-ABCDE segment slant height sphere square feet squares described straight line tangent THEOREM three sides trapezoid triangle ABC upper base viii
Beliebte Passagen
Seite 48 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Seite 10 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Seite 58 - BD then A is said to have the same ratio to B, that C has to D ; or, the ratio of A to B is equal to the ratio of C to D.
Seite 12 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Seite 118 - ... cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Seite 112 - 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.
Seite 162 - To find the area of a trapezoid. RULE. Multiply the sum of the parallel sides by the perpendicular distance between them, and then divide the product by two : the quotient will be the area (Bk.
Seite 149 - This pulyedrun may be considered as formed of pyramids, each having for its vertex the centre of the sphere, and for its base one of the faces of the polyedron.
Seite 119 - If a cone be cut by a plane parallel to the base, the section will be a circle.