Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of] Algebra |
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Αποτελέσματα 1 - 5 από τα 57.
Σελίδα 5
... less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB a part equal to C , the less . From A draw AD equal to C ; and G E from the centre A , and at the distance AD , describe ...
... less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB a part equal to C , the less . From A draw AD equal to C ; and G E from the centre A , and at the distance AD , describe ...
Σελίδα 6
... less , and join FC , GB . Because AF is equal to AG , and AB to AC , the two sides FA , AC , are equal to the two GA , AB , each to each ; and they contain the angle FAG com- mon to the two triangles AFC , AGB ; therefore the F D B E ...
... less , and join FC , GB . Because AF is equal to AG , and AB to AC , the two sides FA , AC , are equal to the two GA , AB , each to each ; and they contain the angle FAG com- mon to the two triangles AFC , AGB ; therefore the F D B E ...
Σελίδα 7
... angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . For if AB be not equal to AC , one of them is greater ; let AB be the greater , and from it cut off D BD equal to AC the less , and join EUCLID . 7.
... angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . For if AB be not equal to AC , one of them is greater ; let AB be the greater , and from it cut off D BD equal to AC the less , and join EUCLID . 7.
Σελίδα 8
... less to the greater , which is absurd . Therefore AB is not unequal to AC , that is , it is equal to it . B COROLLARY . - Hence every equiangular triangle is also equilateral . VII . - Upon the same base , and on the same side of it ...
... less to the greater , which is absurd . Therefore AB is not unequal to AC , that is , it is equal to it . B COROLLARY . - Hence every equiangular triangle is also equilateral . VII . - Upon the same base , and on the same side of it ...
Σελίδα 12
... less to the greater , which is impossible ; therefore two straight lines cannot have a common segment . XII . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB ...
... less to the greater , which is impossible ; therefore two straight lines cannot have a common segment . XII . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB ...
Άλλες εκδόσεις - Προβολή όλων
Stewart's Specific Subjects. Euclid. [1st] (-3rd Stage). [With 2 Issues Of ... Stewart W and Co Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
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Δημοφιλή αποσπάσματα
Σελίδα 19 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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.
Σελίδα 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.
Σελίδα 16 - Any two sides of a triangle are together greater than the third side.
Σελίδα 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.
Σελίδα 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.