The Element of GeometryW.E. Dean, 1836 - 114 sider |
Inni boken
Resultat 1-5 av 39
Side 13
... sides , equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , viz . those to which the equal sides are op- posite . Let ABC , DEF be two triangles which have the two sides AB , AC equal to ...
... sides , equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , viz . those to which the equal sides are op- posite . Let ABC , DEF be two triangles which have the two sides AB , AC equal to ...
Side 14
... sides AF , AC are equal to the two sides AG and AB , each to each ; and they con- tain the angle FAG common to the two triangles ACF , ABG ; there- fore ( 4. 1. ) , the triangle ACF is equivalent to the triangle ABG ; and therefore the ...
... sides AF , AC are equal to the two sides AG and AB , each to each ; and they con- tain the angle FAG common to the two triangles ACF , ABG ; there- fore ( 4. 1. ) , the triangle ACF is equivalent to the triangle ABG ; and therefore the ...
Side 15
... sides BD , BC are equal to the two sides AC , BC , each to each ; and the angle DBC is equal to the angle ACB ; therefore ( 4. 1. ) , the base DC is equal to the base AB , and the triangle CBD is equivalent to the triangle ACB , the ...
... sides BD , BC are equal to the two sides AC , BC , each to each ; and the angle DBC is equal to the angle ACB ; therefore ( 4. 1. ) , the base DC is equal to the base AB , and the triangle CBD is equivalent to the triangle ACB , the ...
Side 16
... side AD is equal to the side BD , and DC is common , and the angle ADC contained by them , has been proved to be equal to the angle BDC ; therefore ( 4. 1. ) , the tri- angles are equivalent , and the A D F C B E third side AC is equal ...
... side AD is equal to the side BD , and DC is common , and the angle ADC contained by them , has been proved to be equal to the angle BDC ; therefore ( 4. 1. ) , the tri- angles are equivalent , and the A D F C B E third side AC is equal ...
Side 17
... side CF common ; therefore ( 7. 1. ) , the angles CDF , CEF are equal ; and therefore ( 4. 1. ) , the two triangles ... AC be also perpendicular . Produce AB to F , make BF equal to AB , and join FC . Because the angle ABC is a right angle , ...
... side CF common ; therefore ( 7. 1. ) , the angles CDF , CEF are equal ; and therefore ( 4. 1. ) , the two triangles ... AC be also perpendicular . Produce AB to F , make BF equal to AB , and join FC . Because the angle ABC is a right angle , ...
Andre utgaver - Vis alle
The Element of Geometry (Classic Reprint) Formerly Chairman Department of Immunology John Playfair,John Playfair Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
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 17 equal angles equal circles equal to CD equiangular FGHKL fore four right angles given straight line gnomon greater homologous sides 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
Populære avsnitt
Side 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.
Side 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.
Side 4 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Side 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...
Side 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.
Side 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.
Side 1 - If two triangles have two sides of the one equal to two sides of the...
Side 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.
Side 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.
Side 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...