Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of] Algebra |
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Αποτελέσματα 1 - 5 από τα 14.
Σελίδα 16
Let the parallelograms ABCD , EBCF , be upon the same base BC , and between the same parallels AF , BC . If the sides AD , DF , of the parallelograms ABCD , DBCF , opposite to the base BC , be terminated in the same point D ; it is ...
Let the parallelograms ABCD , EBCF , be upon the same base BC , and between the same parallels AF , BC . If the sides AD , DF , of the parallelograms ABCD , DBCF , opposite to the base BC , be terminated in the same point D ; it is ...
Σελίδα 17
... and equals ABCD ; for like reason , the parallelogram EFGH equals EBCH ; therefore , the parallelogram ABCD equals EFGH . XXXVII . — Triangles upon the same base , and between the same parallels , are equal to one another .
... and equals ABCD ; for like reason , the parallelogram EFGH equals EBCH ; therefore , the parallelogram ABCD equals EFGH . XXXVII . — Triangles upon the same base , and between the same parallels , are equal to one another .
Σελίδα 18
Let the parallelogram ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE . Join AC ; then the A triangle ABC is equal to the triangle EBC . But the parallelogram ABCD is double of the triangle ...
Let the parallelogram ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE . Join AC ; then the A triangle ABC is equal to the triangle EBC . But the parallelogram ABCD is double of the triangle ...
Σελίδα 19
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 ABCD , called the A H complements : BK is equal to KD .
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 ABCD , called the A H complements : BK is equal to KD .
Σελίδα 20
Let ABCD be the given figure , and E the angle . Join DB , and describe the parallelogram FH equal to the triangle ADB , having the angle HKF equal to E ; and to GH apply the parallelogram GM equal to the triangle DBC , having the angle ...
Let ABCD be the given figure , and E the angle . Join DB , and describe the parallelogram FH equal to the triangle ADB , having the angle HKF equal to E ; and to GH apply the parallelogram GM equal to the triangle DBC , having the angle ...
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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 22 - If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite upon the same side, and also the two interior angles upon the same side together equal to two right angles.
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.