Elements of Geometry and Trigonometry: With Practical Applications |
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Side 9
Two straight lines are said to be perpendicular to each other , when their meeting forms equal adjacent angles ... the angles formed A by the intersecting or secant line take particular names , thus :INTERIOR ANGLES ON THE SAME SIDE are ...
Two straight lines are said to be perpendicular to each other , when their meeting forms equal adjacent angles ... the angles formed A by the intersecting or secant line take particular names , thus :INTERIOR ANGLES ON THE SAME SIDE are ...
Side 27
IOH have the two sides KO , OG and the included angle in the one equal to the two sides IO , OH and the included angle ... or makes the interior angles on the same side together equal to two right angles , the two lines are parallel .
IOH have the two sides KO , OG and the included angle in the one equal to the two sides IO , OH and the included angle ... or makes the interior angles on the same side together equal to two right angles , the two lines are parallel .
Side 31
IOH have the two sides KO , OG and the included angle in the one equal to the two sides IO , OH and the included angle ... or makes the interior angles on the same side together equal to two right angles , the two lines are parallel .
IOH have the two sides KO , OG and the included angle in the one equal to the two sides IO , OH and the included angle ... or makes the interior angles on the same side together equal to two right angles , the two lines are parallel .
Side 32
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 ...
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 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 ...
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 ...
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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 acute adjacent altitude base called centre chord circle circumference common complement cone consequently contained corresponding cosine Cotang decimal described determine diagonal diameter difference distance divided draw drawn edge equal equivalent EXAMPLES faces feet figure four frustum given greater half the sum hence hypothenuse inches included inscribed joining length less logarithm manner means measured meet middle Multiply 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 side similar solidity solve sphere spherical triangle square straight line surface taken tangent third triangle triangle ABC values whole yards
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.
Bibliografisk informasjon
| Tittel | Elements of Geometry and Trigonometry: With Practical Applications Greenleaf's mathematical series |
| Forfatter | Benjamin Greenleaf |
| Utgiver | R.S. Davis & Company, 1862 |
| Original fra | New York Public Library |
| Digitalisert | 21. jun 2006 |
| Lengde | 490 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |