Elements of Plane Geometry, Parte1Harper & Brothers, 1878 - 132 páginas |
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Página vi
... equilateral triangle . " By means of the postulate or problem , whose solution is self - evident , that " A circle may be described with any point as centre and any length of line as radius , " how simple , beautiful , and satisfactory ...
... equilateral triangle . " By means of the postulate or problem , whose solution is self - evident , that " A circle may be described with any point as centre and any length of line as radius , " how simple , beautiful , and satisfactory ...
Página 15
... equilateral , * isosceles , and scalene ; and the three with respect to their angles are right - angled , acute - angled , and obtuse - angled . 22. An Equilateral Triangle is a tri- angle that has its three sides equal . 23. An ...
... equilateral , * isosceles , and scalene ; and the three with respect to their angles are right - angled , acute - angled , and obtuse - angled . 22. An Equilateral Triangle is a tri- angle that has its three sides equal . 23. An ...
Página 16
... Triangle is one that has an obtuse angle . 28. Parallel lines are such as lie in the same plane , and can not meet ... equilateral rectangle . 35. A Rhombus is an equilateral rhom- boid . 36. 16 ELEMENTS OF PLANE GEOMETRY .
... Triangle is one that has an obtuse angle . 28. Parallel lines are such as lie in the same plane , and can not meet ... equilateral rectangle . 35. A Rhombus is an equilateral rhom- boid . 36. 16 ELEMENTS OF PLANE GEOMETRY .
Página 17
Thomas Hunter. 35. A Rhombus is an equilateral rhom- boid . 36. A Diagonal is a straight line con- necting two angles not consecutive . 37. The Hypothenuse of a right - angled triangle is the side opposite the right angle . 38. The Base ...
Thomas Hunter. 35. A Rhombus is an equilateral rhom- boid . 36. A Diagonal is a straight line con- necting two angles not consecutive . 37. The Hypothenuse of a right - angled triangle is the side opposite the right angle . 38. The Base ...
Página 20
... equilateral tri- angle . C Let AB be a given straight line ; it is required to con- struct upon it an equilateral triangle . D A B E From the point A as centre , and with AB as radius ( Postu- late 3 ) , describe the circle BCD ; and ...
... equilateral tri- angle . C Let AB be a given straight line ; it is required to con- struct upon it an equilateral triangle . D A B E From the point A as centre , and with AB as radius ( Postu- late 3 ) , describe the circle BCD ; and ...
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Términos y frases comunes
ABCD AC and BD AC and CB AC is equal ACEH adjacent angle allel alternate angles altitude angle ABC angle ACB angle CBD angle equal base centre chord circumference diagonal diameter draw equal angles equal const equal Prop equal to DF equiangular equilateral triangle exterior angle feet figure Find the area Geometry given line given point gles greater half the arc Hence the triangles hypothenuse inches included angle inscribed interior and opposite intersect isosceles triangle Join the points Let ABC line AC measured by half opposite angle parallelogram perpendicular polygon proportional PROPOSITION Prove quadrilateral radius rectangle rectangle contained Required the area rhombus right angles Prop right-angled triangle Scholium secant secant line segment sides AC similar six right square tangent TEST EXAMPLES THEOREM three sides trapezium triangle ABC
Pasajes populares
Página 48 - 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.
Página 26 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
Página 46 - 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.
Página 45 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.
Página 63 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Página 64 - 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.
Página 114 - 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.
Página 57 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Página 57 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Página 69 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.