The Elements of Plane and Solid Geometry: With Chapters on Mensuration and Modern GeometryPorter & Coates, 1882 - 266 sider |
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Resultat 1-5 av 33
Side 14
... cer- tain point within the figure to the circum- ference are equal to one another . 1 Rectus , right ; angulus , an angle . 2 Dia , through ; gōnia , an angle . 31. These lines are called radii , and this point 14 GEOMETRY . — BOOK I.
... cer- tain point within the figure to the circum- ference are equal to one another . 1 Rectus , right ; angulus , an angle . 2 Dia , through ; gōnia , an angle . 31. These lines are called radii , and this point 14 GEOMETRY . — BOOK I.
Side 15
... radii , and this point is the centre of the circle . 32. A diameter of a circle is any straight line drawn through the centre , and terminated both ways by the circum- ference . 33. A semicircle is the figure contained by the diameter ...
... radii , and this point is the centre of the circle . 32. A diameter of a circle is any straight line drawn through the centre , and terminated both ways by the circum- ference . 33. A semicircle is the figure contained by the diameter ...
Side 19
... radii equal to AB , describe ( Post . 3 ) arcs of circles cutting in C. ABC is an equilateral triangle . Proposition 4 . A B Theorem . If two triangles have two sides and the included angle of one , equal to two sides and the included ...
... radii equal to AB , describe ( Post . 3 ) arcs of circles cutting in C. ABC is an equilateral triangle . Proposition 4 . A B Theorem . If two triangles have two sides and the included angle of one , equal to two sides and the included ...
Side 64
... radii and the arc between them . SEGMENT SEGMENT ARC CHORD RADIUS DIAMETER ARC 10. The angle in a segment , is the angle contained by two straight lines drawn from any point of the circumference to the extremities of the line which ...
... radii and the arc between them . SEGMENT SEGMENT ARC CHORD RADIUS DIAMETER ARC 10. The angle in a segment , is the angle contained by two straight lines drawn from any point of the circumference to the extremities of the line which ...
Side 65
... radii , and DG common to the two triangles ADG , BDG , there- fore the angle ADG is equal ( I. 9 ) to the angle GDB . Therefore ( I. Def . 8 ) the angle GDB is a right angle . But D F G E D B FDB is likewise a right angle ; wherefore ...
... radii , and DG common to the two triangles ADG , BDG , there- fore the angle ADG is equal ( I. 9 ) to the angle GDB . Therefore ( I. Def . 8 ) the angle GDB is a right angle . But D F G E D B FDB is likewise a right angle ; wherefore ...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ... Isaac Sharpless Uten tilgangsbegrensning - 1879 |
The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ... Isaac Sharpless Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ... Isaac Sharpless Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
A-BCD AB² ABCD altitude angle ABC angle ACB angle BAC base bisect centre of similitude chord circle ABC circumference cone Corollary cylinder decagon describe diagonals diameter divided draw equal angles equiangular feet figure find the volume four right angles frustum given circle given straight line greater Hence included angle inscribed interior angles intersection Let ABC meet middle point Multiply number of sides opposite angles parallelogram parallelopiped pass perimeter perpendicular plane pole polyedron prism Problem.-To Prop proportional Proposition 11 Proposition 13 pyramid quadrilateral radical axis radii radius rectangle contained regular polygon right angles Scholium segment semicircle similar similar triangles slant height solid solid angle sphere spherical angle spherical triangle square symmetrical tangent Theorem Theorem.-If triangle ABC vertex
Populære avsnitt
Side 56 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 77 - The angles in the same segment of a circle are equal to one another.
Side 81 - If a straight line touch a circle, and from the point of contact a...
Side 128 - Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the...
Side 17 - AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes are equal. 3. If equals be taken from equals the remainders are equal.
Side 110 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 64 - If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section.
Side 164 - A be a solid angle contained by any number of plane angles BAC, CAD, DAE, EAF, FAB: these together are less than four right angles. Let the planes...
Side 17 - LET it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line.
Side 127 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the...