Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 sider |
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Resultater 1-5 af 18
Side 16
... vertex , or angular point . ED . The magnitude of an angle does not depend on the length of the two lines which form it , but on the wideness of their opening . Thus , the angle ABC is greater than the angle DBC . ED . ELEMENTS OF ...
... vertex , or angular point . ED . The magnitude of an angle does not depend on the length of the two lines which form it , but on the wideness of their opening . Thus , the angle ABC is greater than the angle DBC . ED . ELEMENTS OF ...
Side 17
... vertex of the angle is put between the other two letters , and one of these two is somewhere on one of those straight lines , and the other on the other line : thus , the angle which is contained by the straight lines AB , CB , is named ...
... vertex of the angle is put between the other two letters , and one of these two is somewhere on one of those straight lines , and the other on the other line : thus , the angle which is contained by the straight lines AB , CB , is named ...
Side 20
... vertex perpendicular to the base . 40. That part of Geometry which treats of the measure- ment and position of plane figures , of straight lines , and of rectilineal angles , is called Plane Geometry . POSTULATES . 1. LET it be granted ...
... vertex perpendicular to the base . 40. That part of Geometry which treats of the measure- ment and position of plane figures , of straight lines , and of rectilineal angles , is called Plane Geometry . POSTULATES . 1. LET it be granted ...
Side 56
... vertex of the triangles , that is , together with four right angles ( 3 Cor . 13 ) . Therefore , twice as many right angles as the figure has sides are equal to all the angles of the figure , together with four right angles : that is ...
... vertex of the triangles , that is , together with four right angles ( 3 Cor . 13 ) . Therefore , twice as many right angles as the figure has sides are equal to all the angles of the figure , together with four right angles : that is ...
Side 109
... whole line is to the greater segment as the greater segment is to the less . 4. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base . PROPOSITION I. THEOREM . Triangles of the same altitude are.
... whole line is to the greater segment as the greater segment is to the less . 4. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base . PROPOSITION I. THEOREM . Triangles of the same altitude are.
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Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Ingen forhåndsvisning - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Ingen forhåndsvisning - 2023 |
Almindelige termer og sætninger
ABC is equal ABCD alternate angles angle ABC angle ACB angle BAC angles AGH angles equal base ABC bases and altitudes bisect centre chord circumference cone Consequently cylinder demonstrations described diagonals diameter divided draw equal angles equal arches equal bases equal circles equal to AC equiangular Euclid's Euclid's Elements exterior angle fore four quantities four right angles geometry given point given straight line gles greater Hence homologous sides intersect KLMN Let ABC meet opposite angles opposite side paral parallel lines parallel to CD parallelogram parallelopipeds perp perpendicular plane polygon prism Prop pyramid Q. E. D. COR Q. E. D. PROPOSITION radius rectangle contained right angled triangle Scholium segments semicircle side AC similar similar triangles solid square straight line &c subtended tangent THEOREM triangle ABC vertex wherefore
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Side 36 - Any two sides of a triangle are together greater than the third side.
Side 80 - 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 42 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line...
Side 30 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.
Side 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Side 113 - Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD.
Side 24 - DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide...
Side 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.