## Elements of Plane and Spherical Trigonometry: With Practical Applications |

### Inni boken

Side 9

**Two straight lines**are said to be perpendicular to each other , when their meeting forms**equal**adjacent**angles**...**angles**formed A by the intersecting or secant line take particular names , thus :**INTERIOR ANGLES ON**THE**SAME**C**SIDE**are ... Side 31

Ma G. 10 G , 1 IOH have the

Ma G. 10 G , 1 IOH have the

**two sides**KO , OG and the included**angle**in the**one equal**to the**two sides**IO , OH and the ... or makes the**interior angles on**the**same side together equal**to**two right angles**, the**two lines**are parallel . Side 32

Again ,

Again ,

**let**the**interior angles on**the**same side**, BGH , GHD , be**together equal**to**two right angles**; then the lines A B ... If**two straight lines**are perpendicular to another , they are parallel ; thus AB , CD , perpendicular to**EF**... Side 33

If

If

**two straight lines**intersect a third line , and make the**two interior angles on**the**same side together**less than**two right angles**, the**two**lines will meet**on**being produced .**Let**the**two**lines KL , CD make with**EF**the**angles**KGH ... Side 34

of the

of the

**interior angles**KG H , GHC would be**equal**to**two right angles**( Prop . ... The**two lines**K L , CD ,**on**being produced , must meet**on**the**side**of**E F**,**on**which are the**two interior angles**whose sum is less than**two right angles**.### Hva folk mener - Skriv en omtale

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Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1876 |

Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1861 |

Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1867 |

### Vanlige uttrykk og setninger

A B C ABCD acute adjacent altitude base called centre chord circle circumference common complement cone consequently contained corresponding cosine Cotang cylinder decimal described determine diagonal diameter difference distance divided draw drawn edge equal equivalent EXAMPLES faces feet figure four frustum given greater hence hypothenuse inches included inscribed joining length less logarithm logarithmic sine magnitudes manner means measured meet middle multiplied negative opposite parallel parallelogram pass perpendicular plane polygon positive prism PROBLEM Prop proportional PROPOSITION pyramid radius ratio rectangle regular remain right angles right-angled triangle rods Scholium secant segment sides similar sine slant height solidity sphere spherical triangle square straight line taken Tang tangent third triangle triangle ABC values yards

### Populære avsnitt

Side 28 - 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 37 - 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 79 - Two rectangles having equal altitudes are to each other as their bases.

Side 251 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.

Side 52 - If any number of quantities 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 Now ab = ab (1) and by Theorem I.

Side 35 - If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles.

Side 168 - 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 303 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.

Side 4 - 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. 9) M=a*, then, raising both sides to the wth power, we have Mm = (a")m = a"" . Therefore, log (M m) = xm = (log M) X »»12.

Side 102 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing.