Elements of geometry, based on Euclid, book i1877 |
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Αποτελέσματα 1 - 5 από τα 16.
Σελίδα 13
... BC shall coincide with the base EF . Because the point B coinciding with E , and C with F , if the base BC do not ... side of the base shall also be equal . = DEF . 4 ABC = < DEF . ACE = ¿ DFE . Let ABC be an isosceles triangle , of which the ...
... BC shall coincide with the base EF . Because the point B coinciding with E , and C with F , if the base BC do not ... side of the base shall also be equal . = DEF . 4 ABC = < DEF . ACE = ¿ DFE . Let ABC be an isosceles triangle , of which the ...
Σελίδα 15
... side of the base , Therefore the angles at the base , & c . ( see Enunciation ) . Which was to be shown . COROLLARY ... BC is common to both , Therefore the two sides DB , BC are equal to the two sides AC , CB , each to each ; And the ...
... side of the base , Therefore the angles at the base , & c . ( see Enunciation ) . Which was to be shown . COROLLARY ... BC is common to both , Therefore the two sides DB , BC are equal to the two sides AC , CB , each to each ; And the ...
Σελίδα 16
... side of it , there cannot be two triangles that have their sides , which are ... BC is equal to BD ( Hyp . ) , The triangle BCD is an isosceles triangle ... angle ECD is greater than the angle BCD 16 GEOMETRY .
... side of it , there cannot be two triangles that have their sides , which are ... BC is equal to BD ( Hyp . ) , The triangle BCD is an isosceles triangle ... angle ECD is greater than the angle BCD 16 GEOMETRY .
Σελίδα 18
... side of it , there will be two triangles , which have their sides terminated ... BC coincides with the base EF , ly coincide sides BA , AC must coincide with ... side remote from A , de- scribe an equilateral triangle DEF ( I. 1 ) . Join ...
... side of it , there will be two triangles , which have their sides terminated ... BC coincides with the base EF , ly coincide sides BA , AC must coincide with ... side remote from A , de- scribe an equilateral triangle DEF ( I. 1 ) . Join ...
Σελίδα 24
... side BC be produced to D. The exterior angle ACD shall be greater than either of the interior opposite angles CBA ... BC be bisected , and the side AC be produced to G , it may be proved that the angle BCG ( or its equal ACD ) , is ...
... side BC be produced to D. The exterior angle ACD shall be greater than either of the interior opposite angles CBA ... BC be bisected , and the side AC be produced to G , it may be proved that the angle BCG ( or its equal ACD ) , is ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, Based on Euclid, Βιβλίο 1 Edward Atkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Geometry, Based on Euclid, Βιβλίο 1 Edward Atkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2010 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal adjacent angles alternate angles angle ABC angle BAC angle BCD angle contained angle EDF angle EGB angle GHD angles BGH angles CBE angles equal bisect centre cloth Const describe the circle diagonal equal sides equal to BC equal triangles equilateral triangle exterior angle Fcap four right angles GHD Ax given point given rectilineal angle given straight line given triangle gram HENRY EVERS interior and opposite isosceles triangle join less Let ABC LL.D meet opposite angles parallel straight lines parallel to BC parallelogram ABCD perpendicular Post 8vo PROOF PROOF.-Because Q. E. D. Proposition rectilineal figure remaining angle right angles Ax side BC sides are opposite sides equal square described square GB third angle trapezium triangle ABC triangle DEF WILLIAM COLLINS
Δημοφιλή αποσπάσματα
Σελίδα 23 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 33 - If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz.
Σελίδα 43 - Parallelograms upon the same base, and between the same parallels, are equal to one another.
Σελίδα 15 - The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC...
Σελίδα 11 - Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another.
Σελίδα 37 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Σελίδα 41 - ... together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 15 - J which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE.
Σελίδα 55 - IF the square described upon one of 'the sides of a triangle be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.
Σελίδα 24 - If, at a point in a straight line, two other straight lines, on the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.