Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 sider |
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Side 15
... theorem or a problem . The words in which a proposition is expressed are called the enunciation of the proposition . A theorem is something which is proposed to be demon- strated ; or , it is a truth which becomes evident by means of a ...
... theorem or a problem . The words in which a proposition is expressed are called the enunciation of the proposition . A theorem is something which is proposed to be demon- strated ; or , it is a truth which becomes evident by means of a ...
Side 24
... of one triangle be equal to two sides of another , each to each , and if the angles contained by those sides be also equal , the triangles will be equal in all respects . PROPOSITION A. THEOREM . This is Prop . 26 . 24 ELEMENTS OF.
... of one triangle be equal to two sides of another , each to each , and if the angles contained by those sides be also equal , the triangles will be equal in all respects . PROPOSITION A. THEOREM . This is Prop . 26 . 24 ELEMENTS OF.
Side 25
Being Chiefly a Selection from Playfair's Geometry John Playfair Francis Nichols. PROPOSITION A. THEOREM . This is Prop . 26 . If two triangles have two angles of one triangle equal to two angles of the other , each to each , and have ...
Being Chiefly a Selection from Playfair's Geometry John Playfair Francis Nichols. PROPOSITION A. THEOREM . This is Prop . 26 . If two triangles have two angles of one triangle equal to two angles of the other , each to each , and have ...
Side 27
... C ; therefore they are equal to each other ( 1 Ax . ) . B Wherefore the three angles of the trian- gle ABC are equal , that is , the triangle ABC is equiangular , ED . A PROPOSITION VI . THEOREM . * If two angles of GEOMETRY . 27 BOOK I.
... C ; therefore they are equal to each other ( 1 Ax . ) . B Wherefore the three angles of the trian- gle ABC are equal , that is , the triangle ABC is equiangular , ED . A PROPOSITION VI . THEOREM . * If two angles of GEOMETRY . 27 BOOK I.
Side 28
Being Chiefly a Selection from Playfair's Geometry John Playfair Francis Nichols. PROPOSITION VI . THEOREM . * If two angles of a triangle be equal , the sides oppo- site to them are ... THEOREM If two triangles have the three 28 ELEMENTS OF.
Being Chiefly a Selection from Playfair's Geometry John Playfair Francis Nichols. PROPOSITION VI . THEOREM . * If two angles of a triangle be equal , the sides oppo- site to them are ... THEOREM If two triangles have the three 28 ELEMENTS OF.
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Vanlige uttrykk og setninger
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
Populære avsnitt
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.