Elements of geometry, based on Euclid, books i-iii1876 - 119 σελίδες |
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Σελίδα 77
... angle opposite the third square is a right angle . 15. Show also what the ... equal to the square upon a side of the triangle . 17. If a side of a ... given rectilinear figures . 20. The base of a triangle is 63 ft . , and the ...
... angle opposite the third square is a right angle . 15. Show also what the ... equal to the square upon a side of the triangle . 17. If a side of a ... given rectilinear figures . 20. The base of a triangle is 63 ft . , and the ...
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Elements of Geometry, Based on Euclid, Βιβλία 1-3 Edward Atkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Geometry, Based On Euclid, Books I-Iii Edward Atkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2025 |
Elements of Geometry, Based On Euclid, Books I-Iii Edward Atkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2025 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB is equal adjacent angles alternate angles angle ABC angle ACB angle BAC angle BCD angle contained angle DEF angle EDF angle equal angles BGH angles CBE base BC BC is equal bisect centre circle ABC circumference CONSTRUCTION diagonal diameter double draw equal circles equal to CD equal to twice EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line gnomon half a right interior and opposite isosceles triangle less Let ABC Let the straight opposite angles parallelogram perpendicular produced PROOF Q. E. D. Proposition rectangle AD rectangle AE rectangle contained remaining angle right angle Const right angles Ax segment semicircle side BC square described square on AC straight line AC touches the circle triangle ABC triangle DEF twice the rectangle
Δημοφιλή αποσπάσματα
Σελίδα 37 - 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.
Σελίδα 13 - 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 be equal. Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC be produced to D and E.
Σελίδα 7 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 17 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 53 - 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 9 - If a straight line meet 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 71 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Σελίδα 9 - 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 34 - Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the two straight lines shall be parallel to one another.
Σελίδα 69 - 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 half the line bisected, is equal to the square of the straight line, which is made up of the half and the part produced.