Elements of Geometry and Trigonometry: With Practical ApplicationsR.S. Davis & Company, 1862 - 490 sider |
Inni boken
Resultat 1-5 av 51
Side 18
... included angle in the one equal to two sides and the included angle in the other , each to each , the two triangles will be equal . In the two triangles ABC , DEF , let the side A B be equal to the side DE , the side A C to the side DF ...
... included angle in the one equal to two sides and the included angle in the other , each to each , the two triangles will be equal . In the two triangles ABC , DEF , let the side A B be equal to the side DE , the side A C to the side DF ...
Side 20
... included angle in the one are equal to two sides and the included angle in the other , each to each , the triangle DBC is equal to the triangle ABC ( Prop . V. ) , a part to the whole , which is impossible ( Art . 34 , Ax . 8 ) . Hence ...
... included angle in the one are equal to two sides and the included angle in the other , each to each , the triangle DBC is equal to the triangle ABC ( Prop . V. ) , a part to the whole , which is impossible ( Art . 34 , Ax . 8 ) . Hence ...
Side 27
... included angle BAC of the one equal to the included angle EDG of the other ; hence the side BC is equal to EG ( Prop . V. Cor . ) . In the triangle DFG , since D G is equal to DF , the angle D F G is equal to the angle DGF ( Prop . VII ...
... included angle BAC of the one equal to the included angle EDG of the other ; hence the side BC is equal to EG ( Prop . V. Cor . ) . In the triangle DFG , since D G is equal to DF , the angle D F G is equal to the angle DGF ( Prop . VII ...
Side 31
... included angle in the one equal to the two sides IO , OH and the includ- ed angle in the other , each to each ; hence the angle K GO is equal to the angle I HO ( Prop . V. Cor . ) . But , by hypothesis , the angle KGO is equal to the ...
... included angle in the one equal to the two sides IO , OH and the includ- ed angle in the other , each to each ; hence the angle K GO is equal to the angle I HO ( Prop . V. Cor . ) . But , by hypothesis , the angle KGO is equal to the ...
Side 39
... . Hence , the two triangles ADB , DBC have two angles , ABD , AD B , in the one , equal to two angles , BDC , DBC , in the other , each to each ; and since the side BD included between these equal angles is common BOOK I. 39.
... . Hence , the two triangles ADB , DBC have two angles , ABD , AD B , in the one , equal to two angles , BDC , DBC , in the other , each to each ; and since the side BD included between these equal angles is common BOOK I. 39.
Andre utgaver - Vis alle
Elements of Geometry and Trigonometry;: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1863 |
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1869 |
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1867 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles altitude angle equal base bisect centre chord circle circumference circumscribed cone convex surface cosec cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed less Let ABC line A B logarithm logarithmic sine mean proportional measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon right angles right-angled triangle rods Scholium secant segment side A B similar sine slant height solidity solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Populære avsnitt
Side 35 - 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.
Side 57 - 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.
Side 117 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Side 50 - If any number of magnitudes are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let A : B : : C : D : : E : F; then will A : B : : A + C + E : B + D + F.
Side 77 - Two rectangles having equal altitudes are to each other as their bases.
Side 158 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Side 313 - FRACTION is a negative number, and is one more tftan the number of ciphers between the decimal point and the first significant figure.
Side 314 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art.
Side 100 - The areas of two triangles which have 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Side 244 - RULE. — Multiply the base by the altitude, and the product will be the area.