Primary Elements of Plane and Solid Geometry: For Schools and AcademiesWilson, Hinkle & Company, 1862 - 98 σελίδες |
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Αποτελέσματα 1 - 5 από τα 31.
Σελίδα 7
... Circle .... ............... . 38 Sec . IX . Problems in Construction ........... 49 BOOK II . PLANE GEOMETRY . - PROPORTIONS . Sec . X. Of Polygons ........... Sec . XI . Of Circles ......... 68 Sec . XII . Problems in Construction ...
... Circle .... ............... . 38 Sec . IX . Problems in Construction ........... 49 BOOK II . PLANE GEOMETRY . - PROPORTIONS . Sec . X. Of Polygons ........... Sec . XI . Of Circles ......... 68 Sec . XII . Problems in Construction ...
Σελίδα 38
... CIRCLE . DEFINITIONS . 1. A CIRCLE is a plane figure bounded by a curve , called the CIRCUMFERENCE , every point in which is equally distant from a point within , called the CENTER . 2. A straight line drawn from the center to any point ...
... CIRCLE . DEFINITIONS . 1. A CIRCLE is a plane figure bounded by a curve , called the CIRCUMFERENCE , every point in which is equally distant from a point within , called the CENTER . 2. A straight line drawn from the center to any point ...
Σελίδα 39
... circle is the part contained by an are and its chord . A SECTOR is the part con- tained by an arc and two radii drawn to its extremities . 6. Half a circle is called a SEMICIRCLE ; half a circum- ference , a SEMI - CIRCUMFERENCE . A ...
... circle is the part contained by an are and its chord . A SECTOR is the part con- tained by an arc and two radii drawn to its extremities . 6. Half a circle is called a SEMICIRCLE ; half a circum- ference , a SEMI - CIRCUMFERENCE . A ...
Σελίδα 40
... circle . Hence , the arc ABC is equal to the arc ADC , and the segment ABC to the segment ADC ( Ax . 11 ) . Therefore , a diameter divides , etc. Schol . In a similar manner it may be proved that two circles of equal diameters or radii ...
... circle . Hence , the arc ABC is equal to the arc ADC , and the segment ABC to the segment ADC ( Ax . 11 ) . Therefore , a diameter divides , etc. Schol . In a similar manner it may be proved that two circles of equal diameters or radii ...
Σελίδα 41
... circle have equal chords , and sub- tend equal angles at the center . Let AD and BC be equal arcs , and E the center of the circle . It is to be proved that the chords AD , BC are equal ; also , the subtended angles AED , BEC . Let the ...
... circle have equal chords , and sub- tend equal angles at the center . Let AD and BC be equal arcs , and E the center of the circle . It is to be proved that the chords AD , BC are equal ; also , the subtended angles AED , BEC . Let the ...
Άλλες εκδόσεις - Προβολή όλων
Primary Elements of Plane and Solid Geometry: For Schools and Academies E W (Evan Wilhelm) 1827-1874 Evans Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2021 |
Primary Elements of Plane and Solid Geometry: For Schools and Academies E. W. 1827-1874 Evans Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCDEF allel alternate angles altitude angle BAC angles ABC apothegm base multiplied bisect called chord circle circumference cone consequently convex surface diagonals diameter divided draw Eclectic Reader equal Theo equal to half equivalent frustum Geometry given point half the arc half the product Hence hypotenuse included angle inscribed angle intersect isosceles triangle Let ABCD let fall McGuffey's measured by half mutually equiangular mutually equilateral number of equal number of sides opposite parallelogram perimeter perpendicular perpendicular distance prism proportion proved Published by W. B. quadrilateral radii radius Ray's rectangle regular inscribed regular polygon regular pyramid right angles right parallelopiped right-angled triangle Schol semicircle side BC slant hight solidity square straight line SUPT tangent THEOREM trapezoid triangles ABC triangles are equal triangular vertex W. B. SMITH
Δημοφιλή αποσπάσματα
Σελίδα 69 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Σελίδα 42 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Σελίδα 21 - 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.
Σελίδα 47 - It follows, then, that the area of a circle is equal to half the product of its circumference and its radius.
Σελίδα 72 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Σελίδα 33 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 38 - The area of a regular polygon is equal to half the product of its apothem and perimeter.
Σελίδα 52 - PROBLEM VII. Two angles of a triangle being given, to find the third angle. The three angles of every triangle are together equal to two right angles (Prop.
Σελίδα 30 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 69 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...