The school Euclid: comprising the first four books, by A.K. Isbister1862 |
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Side 14
... triangle BCD , CB is assumed to be equal to DB , therefore the angle BDC ... triangles have two sides of the one equal to two sides of the other , each to ... ABC , DEF be two triangles , having the two sides AB , AC , equal to the two ...
... triangle BCD , CB is assumed to be equal to DB , therefore the angle BDC ... triangles have two sides of the one equal to two sides of the other , each to ... ABC , DEF be two triangles , having the two sides AB , AC , equal to the two ...
Side 15
Euclides Alexander Kennedy Isbister. DEMONSTRATION For , if the triangle ABC be applied to DEF , so that the point B ... triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise ...
Euclides Alexander Kennedy Isbister. DEMONSTRATION For , if the triangle ABC be applied to DEF , so that the point B ... triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise ...
Side 16
... triangle ABC , ( 1. 1 ) and bisect the angle ACB by the straight line CD . ( 1.9 . ) Then AB shall be divided into two equal parts in the point D. DEMONSTRATION Because AC is equal to CB , ( constr . ) and CD common to the two triangles ...
... triangle ABC , ( 1. 1 ) and bisect the angle ACB by the straight line CD . ( 1.9 . ) Then AB shall be divided into two equal parts in the point D. DEMONSTRATION Because AC is equal to CB , ( constr . ) and CD common to the two triangles ...
Side 22
... triangle be produced , then the exterior angle is greater than either of the interior opposite angles . ( References - Prop . I. 3 , 4 , 10 , 15 ; ax . 9. ) Let ABC be a triangle , and let the side 22 [ BOOK I. THE SCHOOL EUCLID .
... triangle be produced , then the exterior angle is greater than either of the interior opposite angles . ( References - Prop . I. 3 , 4 , 10 , 15 ; ax . 9. ) Let ABC be a triangle , and let the side 22 [ BOOK I. THE SCHOOL EUCLID .
Side 23
Euclides Alexander Kennedy Isbister. Let ABC be a triangle , and let the side BC be produced to D. Then the exterior angle ACD shall be greater than either of the angles ABC or CAB . B G CONSTRUCTION Bisect AC in E , ( 1. 10 ) and join ...
Euclides Alexander Kennedy Isbister. Let ABC be a triangle , and let the side BC be produced to D. Then the exterior angle ACD shall be greater than either of the angles ABC or CAB . B G CONSTRUCTION Bisect AC in E , ( 1. 10 ) and join ...
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The school Euclid: comprising the first four books, by A.K. Isbister Euclides Uten tilgangsbegrensning - 1863 |
The School Euclid: Comprising the First Four Books, Chiefly from the Text of ... A. K. Isbister Ingen forhåndsvisning tilgjengelig - 2009 |
Vanlige uttrykk og setninger
AB is equal adjacent angles alternate angles angle ABC angle AGH angle BAC angle BCD angle EAB angle EDF angle equal angles CBA base BC BC is equal circle ABC constr DEMONSTRATION describe the circle diameter double equal angles equal straight lines equal to BC equilateral and equiangular exterior angle given circle given rectilineal angle given straight line gnomon greater inscribed interior and opposite less Let ABC Let the straight opposite angles parallel to CD parallelogram pentagon perpendicular Q. E. D. PROP rectangle AE rectangle contained rectilineal figure References Prop References-Prop remaining angle required to describe right angles segment semicircle side BC square of AC straight line AB straight line AC THEOREM touches the circle triangle ABC triangle DEF twice the rectangle
Populære avsnitt
Side 141 - 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. either the sides adjacent to the equal...
Side 35 - 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 equal to two right angles.
Side 71 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle...
Side 33 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Side 61 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of...
Side 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Side 27 - ... shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, viz.
Side 77 - An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment.
Side 15 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.