The Element of GeometryW.E. Dean, 1836 - 114 páginas |
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Página 27
John Playfair. PROP . VI . THEOR . If two triangles have two angles of the one equal to two angles of the other , each ... THEOR . If two of the sides of a quadrangle are equal and parallel , the remain- ing sides are also equal and ...
John Playfair. PROP . VI . THEOR . If two triangles have two angles of the one equal to two angles of the other , each ... THEOR . If two of the sides of a quadrangle are equal and parallel , the remain- ing sides are also equal and ...
Página 29
... THEOR . Two straight lines which are at the same distance at each extremity , are parallel . Let the straight lines AB and CD be at the same distance at A as at B ; they shall be parallel . From A draw AC perpendicular to CD , and from ...
... THEOR . Two straight lines which are at the same distance at each extremity , are parallel . Let the straight lines AB and CD be at the same distance at A as at B ; they shall be parallel . From A draw AC perpendicular to CD , and from ...
Página 31
John Playfair. PROP . XIII . THEOR . If a straight line meet two straight lines , so as to make the two interior ... THEOR . Parallelograms of equal base and altitude , are equal . Let the parallelograms ABCD , EBCF , be of equal ...
John Playfair. PROP . XIII . THEOR . If a straight line meet two straight lines , so as to make the two interior ... THEOR . Parallelograms of equal base and altitude , are equal . Let the parallelograms ABCD , EBCF , be of equal ...
Página 35
... THEOR . B C The complements of the parallelograms which are about the diagonal of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diagonal is AC , and EH , FG the parallelograms about AC , that ...
... THEOR . B C The complements of the parallelograms which are about the diagonal of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diagonal is AC , and EH , FG the parallelograms about AC , that ...
Página 36
John Playfair. PROP . XX . THEOR . 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 ... THEOR . If a straight line 36 THE ELEMENT.
John Playfair. PROP . XX . THEOR . 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 ... THEOR . If a straight line 36 THE ELEMENT.
Otras ediciones - Ver todas
The Element of Geometry (Classic Reprint) Formerly Chairman Department of Immunology John Playfair,John Playfair Sin vista previa disponible - 2017 |
Términos y frases comunes
AB is equal AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF arc AC base BC bisect called centre circle ABCD circle EFGH coincide described divided drawn duplicate ratio equal angles equal circles equal to AC equiangular FGHKL fore four right angles given straight line gnomon greater homologous sides interior angles join less Let ABC Let the straight opposite angles parallel parallelogram perpendicular polygon PROB produced Q. E. D. PROP radius rectangle BC rectangle contained rectilineal figure remaining angle right angled triangle secant segment side AC similar sine square of AC straight line AB straight line AC THEOR touches the circle triangle ABC twice the rectangle wherefore whole angle
Pasajes populares
Página 25 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Página 13 - 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 ; it is required to draw a straight line E iR.
Página 4 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Página 29 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Página 90 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Página 87 - ... magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes.
Página 1 - If two triangles have two sides of the one equal to two sides of the...
Página 13 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Página 64 - 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.
Página 19 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...