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Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms having the angle BCD equal to the angle ECG ; the ratio of the parallelogram AC to the parallelogram CF...
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 166
af Euclides - 1816 - 528 sider
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## Solutions of the Cambridge Problems, from 1800 to 1820, Bind 2

John Martin Frederick Wright - 1836 - 776 sider
...which the other sides of the triangle have to one another. Shew that the converse is also true. 2. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a circle is equal...
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## The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...straight lines be proportionals, those straight lines shall be proportionals. XXIII. Equian. guiar parallelograms have to one another the ratio which is compounded of the ratios of their sides. XXIV. The parallelograms about the diameter of any parallelogram, are similar to the whole, and to...
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## The Element of Geometry

John Playfair - 1836 - 148 sider
...equal to the angle ECG ; the ratio of the parallelogram AC to the parallelogram CF, is the same with the ratio which is compounded of the ratios of their sides. Let BC, CG, be placed in a straight line ; therefore DC and CE are also in a straight line (2. 1.) ; and...
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## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 sider
...&c.* Cor. Triangles which have one angle of the one equal, or supplemental, to one angle of the other, have to one another the ratio which is compounded of the ratios of the sides containing those angles. For, if BD and EG be joined, the triangles BCD, ECG being (I. 84.)...
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## Elements of Plane Geometry According to Euclid

Andrew Bell, Robert Simson - 1837 - 290 sider
...equal to the angle ECG ; the ratio of the parallelogram AC to the parallelogram CF, is the same with the ratio which is compounded of the ratios of their sides. Let EC, CG, be placed in a straight line ; therefore DC and CE are also in a straight line (I. 14) ; and...
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 sider
...equal to GH ; AB is to CD, as EF to GH. If, therefore, four straight lines, &c. QED PROP. XXIII. THEOR. EQUIANGULAR parallelograms have to one another the...CF be equiangular parallelograms, having the angle * See Note. BCD equal to the angle ECG : the ratio of the parallelogram AC to the parallelogram CF,...
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## The Cambridge University Magazine, Bind 1,Oplag 1

1840 - 528 sider
...the Moon's rotation exactly equal to the motion in its orbit. WEDNESDAY. Jan. 8 ...... 9 to llj. 1. EQUIANGULAR parallelograms have to one another the...which is compounded of the ratios of their sides. 2. Every solid angle is contained by plane angles which are together less than four right angles. 3....
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## The Educational Magazine

1840 - 468 sider
...at the heginning of the year. SENATE-HO.USE EXAMINATION. WEDNESDAY. Jan. 8, 1840 ____ 9 to 1IJ. 1. EQUIANGULAR parallelograms have to one another the...which is compounded of the ratios of their sides. 2. Every solid angle is contained hy plane angles which tire together less than four right angles....
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## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 sider
...having the angle BCD equal to the angle ECG: the parallelogram AC shall have to the parallelogram CF, the ratio which is compounded of the ratios of their sides. Let BC, CG be placed in a straight line; therefore DC and CE are also in a straight line;* and complete...
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## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 sider
...c, D be four straight lines, and if л : в : : c : D, then A* : B* : : c* : D*. PROP. XXIII. THEOR. EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratio of their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle...
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