Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of] Algebra |
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Side 15
... diameter bisects them . Let ACDB be a parallelogram , of which BC is a diameter . Because AB is parallel to CD , and BC meets them , the alternate angles ABC , BCD , are equal to one another ; and A ACB , CBD , are equal to one another ...
... diameter bisects them . Let ACDB be a parallelogram , of which BC is a diameter . Because AB is parallel to CD , and BC meets them , the alternate angles ABC , BCD , are equal to one another ; and A ACB , CBD , are equal to one another ...
Side 16
... diameter bisects them ; for AB being equal to CD , and BC common , the two AB , BC , are equal to the two DC , CB , each to each ; and the angle ABC is equal to BCD ; therefore the triangle ABC is equal to BCD . XXXV . - Parallelograms ...
... diameter bisects them ; for AB being equal to CD , and BC common , the two AB , BC , are equal to the two DC , CB , each to each ; and the angle ABC is equal to BCD ; therefore the triangle ABC is equal to BCD . XXXV . - Parallelograms ...
Side 17
... diameter AB bisects it ; and DBC is the half of DBCF ; therefore ABC is equal to DBC . XXXVIII . - Triangles upon ... diameter AB bisects it ; and DEF is the half of DEFH , because the diameter DF besects it ; but the halves of equals ...
... diameter AB bisects it ; and DBC is the half of DBCF ; therefore ABC is equal to DBC . XXXVIII . - Triangles upon ... diameter AB bisects it ; and DEF is the half of DEFH , because the diameter DF besects it ; but the halves of equals ...
Side 18
... EBC . But the parallelogram ABCD is double of the triangle ABC , because the diameter AC divides it into two equal parts ; wherefore ABCD is also double of EBC . B XLII . - To describe a parallelogram that shall be 18 EUCLID .
... EBC . But the parallelogram ABCD is double of the triangle ABC , because the diameter AC divides it into two equal parts ; wherefore ABCD is also double of EBC . B XLII . - To describe a parallelogram that shall be 18 EUCLID .
Side 19
... diameter of any parallelogram , are equal to one another . E C Let ABCD be a parallelogram , of which the diameter is AC , and EH , FG , the parallelograms about AC , and BK , KD , the other parallelograms which make up the whole figure ...
... diameter of any parallelogram , are equal to one another . E C Let ABCD be a parallelogram , of which the diameter is AC , and EH , FG , the parallelograms about AC , and BK , KD , the other parallelograms which make up the whole figure ...
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Stewart's Specific Subjects. Euclid. [1st] (-3rd Stage). [With 2 Issues Of ... Stewart W and Co Ingen forhåndsvisning tilgjengelig - 2015 |
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Populære avsnitt
Side 19 - If two triangles have two sides of the one equal to two sides of the...
Side 1 - 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.
Side 8 - Upon the same base, and on the same side of it, there cannot be two triangles, that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another.
Side 16 - Any two sides of a triangle are together greater than the third side.
Side 12 - IF a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Side 5 - IF two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.