The Element of GeometryW.E. Dean, 1836 - 114 σελίδες |
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Σελίδα 30
... double of CE , and therefore BD is also double of CE . Therefore , if two lines make an angle , and two points be taken in one of the lines , so that one of the points is twice the distance of the other from the angular point , it shall ...
... double of CE , and therefore BD is also double of CE . Therefore , if two lines make an angle , and two points be taken in one of the lines , so that one of the points is twice the distance of the other from the angular point , it shall ...
Σελίδα 34
... double ( 15. 2. ) of the triangle FBC , because these also are upon the same base BF , and between the same parallels BF , CG . But the doubles of equals are equal to one another ; therefore the parallel- ogram BL , is equal to the ...
... double ( 15. 2. ) of the triangle FBC , because these also are upon the same base BF , and between the same parallels BF , CG . But the doubles of equals are equal to one another ; therefore the parallel- ogram BL , is equal to the ...
Σελίδα 38
... double of the square of half the line bisected , and of the square of the line made up of the half and the part produced . Let the straight line AB be bisected in C , and produced to the point D ; the squares of AD , DB are double of ...
... double of the square of half the line bisected , and of the square of the line made up of the half and the part produced . Let the straight line AB be bisected in C , and produced to the point D ; the squares of AD , DB are double of ...
Σελίδα 39
... double of the square of CA : but the square of EA is equal ( 17. 2. ) to the squares of EC , CA ; there- fore the square of EA is double of the square of AC : again , because GF is equal to FE , the square of GF is equal to the square ...
... double of the square of CA : but the square of EA is equal ( 17. 2. ) to the squares of EC , CA ; there- fore the square of EA is double of the square of AC : again , because GF is equal to FE , the square of GF is equal to the square ...
Σελίδα 40
... double of AK : but AK , CE are the mon AKF , together with the square CK ; therefore the gnomon AKF , together with the square CK , is double of KA : but twice the rectangle AB , BC is double of AK , for BK is equal ( Cor . 20. 2. ) to ...
... double of AK : but AK , CE are the mon AKF , together with the square CK ; therefore the gnomon AKF , together with the square CK , is double of KA : but twice the rectangle AB , BC is double of AK , for BK is equal ( Cor . 20. 2. ) to ...
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The Element of Geometry (Classic Reprint) Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB is equal AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF arc AC base BC bisect called centre circle ABCD circle EFGH coincide described divided drawn duplicate ratio equal 17 equal angles equal circles equal to CD equiangular FGHKL fore four right angles given straight line gnomon greater homologous sides join less Let ABC Let the straight opposite angles parallel parallelogram perpendicular polygon PROB produced Q. E. D. PROP radius rectangle BC rectangle contained rectilineal figure remaining angle right angled triangle secant segment side AC similar sine square of AC straight line AB straight line AC THEOR touches the circle triangle ABC twice the rectangle wherefore whole angle
Δημοφιλή αποσπάσματα
Σελίδα 25 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 13 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR.
Σελίδα 4 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Σελίδα 29 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Σελίδα 90 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Σελίδα 87 - ... magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes.
Σελίδα 1 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 13 - 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 together equal to two right angles.
Σελίδα 64 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 19 - 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...