Plane GeometrySilver, Burdett, 1896 - 253 Seiten |
Im Buch
Ergebnisse 1-5 von 13
Seite 72
... feet and 73 feet in length , are commensurable because each is a multiple of a line of a foot in length . is a common divisor ( or measure ) of 5 and 73 , contained in the first 63 times and in the second 92 times . 63 and 92 are ...
... feet and 73 feet in length , are commensurable because each is a multiple of a line of a foot in length . is a common divisor ( or measure ) of 5 and 73 , contained in the first 63 times and in the second 92 times . 63 and 92 are ...
Seite 106
... feet long , and at the same time a verti- cal rod 6 feet high casts a shadow 8 ft . 4 in . long . What is the height of the tree ? 176. In Prop . XIII , if DA : BF = 3 : 1 , what is the ratio of DB to BC ? PROPOSITION XXI 215. Theorem ...
... feet long , and at the same time a verti- cal rod 6 feet high casts a shadow 8 ft . 4 in . long . What is the height of the tree ? 176. In Prop . XIII , if DA : BF = 3 : 1 , what is the ratio of DB to BC ? PROPOSITION XXI 215. Theorem ...
Seite 134
... feet wide and the ridge of the roof is 11 feet above the level of the eaves . Find the length of a rafter . 246. A ladder 60 feet long stands against a vertical wall . How far must it be moved from the wall at the bottom , to lower the ...
... feet wide and the ridge of the roof is 11 feet above the level of the eaves . Find the length of a rafter . 246. A ladder 60 feet long stands against a vertical wall . How far must it be moved from the wall at the bottom , to lower the ...
Seite 135
... feet by 40 feet , and each end of the house is in the form of a right isosceles triangle resting upon a square . Find the entire exterior surface of the house . 264. The longest diagonal AD of an irregular hexagon ABCDEF is 36 , and ...
... feet by 40 feet , and each end of the house is in the form of a right isosceles triangle resting upon a square . Find the entire exterior surface of the house . 264. The longest diagonal AD of an irregular hexagon ABCDEF is 36 , and ...
Seite 159
... feet . What is its radius ? 363. A wheel whose diameter is 8 feet makes 100 revolutions in a minute . How far does a point on the circumference travel in an hour ? 364. If the equatorial diameter of the earth is 7924 miles , what is the ...
... feet . What is its radius ? 363. A wheel whose diameter is 8 feet makes 100 revolutions in a minute . How far does a point on the circumference travel in an hour ? 364. If the equatorial diameter of the earth is 7924 miles , what is the ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
AB² ABCD AC² acute angle AD² adjacent angles altitude angles are equal apothem Appl base and altitude base angle BC² BD² bisector bisects central angle centre chord circumf circumference circumscribed circle Cons decagon diagonals diameter dist distance divided Draw equal circles equally distant equiangular equiangular polygon equilateral triangle EXERCISES exterior angle feet figure Find its area Find the area geometric given circle given line given point homologous sides hypotenuse intersecting isosceles trapezoid isosceles triangle length locus logarithm mantissa mean proportional meas measure median middle point number of sides parallel parallelogram perimeter perpendicular Problem produced PROPOSITION quadrilateral radii radius ratio rectangle regular hexagon regular inscribed regular polygon respectively rhombus right angle right triangle secant segments similar triangles subtended tang tangent Theorem third side trapezoid triangle ABC triangles are equal vertex vertical angle
Beliebte Passagen
Seite 60 - 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 219 - ... 4. Prove that, if from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle.
Seite 139 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Seite 44 - 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 43 - 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.
Seite 217 - Show that the areas of similar triangles are to each other as the squares of the homologous sides.
Seite 89 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Seite 107 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Seite 218 - 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. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove = — • A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Seite 218 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.