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" When you have proved that the three angles of every triangle are equal to two right angles... "
Elements of Geometry and Conic Sections - Page 101
by Elias Loomis - 1858 - 234 pages
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...snall be together equal to two right angles. CONSTRUCTION Draw the diagonals AC and I)B. DEMONSTRATION Because the three angles of every triangle are equal to two right angles, (I. 32) the three angles of the triangle CAB, viz. the angles CAB, ABC, BCA, are equal to two right...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...Then any two of its opposite angles shall together bfe equal to two right angles. Join AC, BD. And because the three angles of every triangle are equal to two right angles, (i. 32.) the three angles of the triangle CAB, viz. the angles CAB, ABC, BCA, are equal to two right...
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Treatise on Mathematical Instruments: Their Construction, Adjustment ...

John Fry Heather - Mathematical instruments - 1866 - 228 pages
...the two angles HI A and '•* HA i ; and because the vertical angles AVH and IVE are equal, and that the three angles of every triangle are equal to two right angles, therefore the two angles VIE and s EH are, together, equal to the two angles AH v and HA i, and therefore...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...Then any two of its opposite angles shall together be equal to two right anglss. .0 Jam AC, BD. And because the three angles of every triangle are equal to two right angles, (I. 32.) the three angles of the triangle CAB, viz. the angles CAB, ABC, BCA, are equal to two right...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...PROPOSITION IV. THEOREM. The side of a regular hexagon is equal to the radius of tht tircumscribed circle. Draw the radius BO. Then the angle A.OB is the sixth...part of two right angles. Also, because the three an- AJ( gles of every triangle are equal to two right angles, the two angles OA'B, OBA are together...
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Mathematical Instruments: Optical instruments

John Fry Heather - Drawing instruments - 1871 - 224 pages
...two interior angles H i A and HA i ; and because the vertical angles AVH and iv E are equal, and that the three angles of every triangle are equal to two right angles, therefore the two angles VIE and SEE are, together, equal to the two angles AH v and HA i, and therefore...
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The essentials of geometry, plane and solid, as taught in French and German ...

John Reynell Morell - Geometry - 1871 - 156 pages
...quadrilateral is divided into two triangles, whose angles form those of the quadrilateral ; and as the three angles of every triangle are equal to two right angles or 180°, the angles of the quadrilateral must be equal to four right angles or 300°. From this it...
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Spirit and mind polarity, or The disentanglement of ideas

Arthur Young - Meditation - 1873 - 222 pages
...it is compelled to affirm, and does affirm this, with the same confidence as the propositition that the three angles of every triangle are equal to two right angles, or that two bodies cannot occupy the same space. Even this, notwithstanding it lies at the foundation...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...opposite angles shall together be equal to two right angles. Construction. Join AC, BD. Demonstration. And because the three angles of every triangle are equal to two right angles (I. 32), the three angles of the triangle CAB, viz., 1. The angles CAB, ABC, BCA are equal to two right...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...Then any two of its opposite angles shall together be equal to two right angles. Join ^ C, BD. And because the three angles of every triangle are equal to two right angles, (I. 32.) the three angles of the triangle CAB, viz. the angles CAB, ABCt BCA, are equal to two right...
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